nominal2: Nominal/Test.thy@cc0dcf248da3 (annotated)

954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	1	theory Test
1335 c3dfd4193b42 Experiments with proving weird transp Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1331 diff changeset	2	imports "Parser" "../Attic/Prove"
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	3	begin
c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	4
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	5	text {* example 1, equivalent to example 2 from Terms *}
1316 0577afdb1732 Porting from Lift to Parser; until defining the Quotient type. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1309 diff changeset	6
1428 4029105011ca Show that the new types are in finite support typeclass. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1418 diff changeset	7	atom_decl name
4029105011ca Show that the new types are in finite support typeclass. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1418 diff changeset	8
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	9	(* maybe should be added to Infinite.thy *)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	10	lemma infinite_Un:
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	11	shows "infinite (S \<union> T) \<longleftrightarrow> infinite S \<or> infinite T"
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	12	by simp
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	13
1454 7c8cd6eae8e2 FV_bn generated for recursive functions as well, and used in main fv for bindings. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1453 diff changeset	14	ML {* val _ = cheat_alpha_eqvt := false *}
7c8cd6eae8e2 FV_bn generated for recursive functions as well, and used in main fv for bindings. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1453 diff changeset	15	ML {* val _ = cheat_fv_eqvt := false *}
7c8cd6eae8e2 FV_bn generated for recursive functions as well, and used in main fv for bindings. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1453 diff changeset	16	ML {* val _ = recursive := false *}
1445 3246c5e1a9d7 cheat_alpha_eqvt no longer needed; the proofs work. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1441 diff changeset	17
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	18	nominal_datatype lm =
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	19	Vr "name"
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	20	\| Ap "lm" "lm"
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	21	\| Lm x::"name" l::"lm" bind x in l
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	22
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	23	lemma finite_fv:
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	24	shows "finite (fv_lm t)"
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	25	apply(induct t rule: lm_induct)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	26	apply(simp_all add: lm_fv)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	27	done
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	28
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	29	lemma supp_fn:
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	30	shows "supp t = fv_lm t"
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	31	apply(induct t rule: lm_induct)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	32	apply(simp_all add: lm_fv)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	33	apply(simp only: supp_def)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	34	apply(simp only: lm_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	35	apply(simp only: lm_eq_iff)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	36	apply(simp only: supp_def[symmetric])
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	37	apply(simp only: supp_at_base)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	38	apply(simp (no_asm) only: supp_def)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	39	apply(simp only: lm_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	40	apply(simp only: lm_eq_iff)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	41	apply(simp only: de_Morgan_conj)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	42	apply(simp only: Collect_disj_eq)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	43	apply(simp only: infinite_Un)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	44	apply(simp only: Collect_disj_eq)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	45	apply(simp only: supp_def[symmetric])
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	46	apply(rule_tac t="supp (Lm name lm)" and s="supp (Abs {atom name} lm)" in subst)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	47	apply(simp (no_asm) only: supp_def)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	48	apply(simp only: lm_perm)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	49	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	50	apply(simp only: lm_eq_iff)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	51	apply(simp only: Abs_eq_iff)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	52	apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	53	apply(simp only: alpha_gen)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	54	apply(simp only: supp_eqvt[symmetric])
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	55	apply(simp only: eqvts)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	56	apply(simp only: supp_Abs)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	57	done
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	58
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	59	lemmas supp_fn' = lm_fv[simplified supp_fn[symmetric]]
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	60
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	61	lemma
1499 21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	62	fixes c::"'a::fs"
21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	63	assumes a1: "\<And>name c. P c (Vr name)"
1500 212e7a3494eb vixed variable names Christian Urban <urbanc@in.tum.de> parents: 1499 diff changeset	64	and a2: "\<And>lm1 lm2 c. \<lbrakk>\<And>d. P d lm1; \<And>d. P d lm2\<rbrakk> \<Longrightarrow> P c (Ap lm1 lm2)"
212e7a3494eb vixed variable names Christian Urban <urbanc@in.tum.de> parents: 1499 diff changeset	65	and a3: "\<And>name lm c. \<lbrakk>\<And>d. P d lm\<rbrakk> \<Longrightarrow> P c (Lm name lm)"
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	66	shows "P c lm"
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	67	proof -
1499 21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	68	have "\<And>p. P c (p \<bullet> lm)"
21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	69	apply(induct lm arbitrary: c rule: lm_induct)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	70	apply(simp only: lm_perm)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	71	apply(rule a1)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	72	apply(simp only: lm_perm)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	73	apply(rule a2)
1499 21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	74	apply(blast)[1]
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	75	apply(assumption)
1500 212e7a3494eb vixed variable names Christian Urban <urbanc@in.tum.de> parents: 1499 diff changeset	76	apply(subgoal_tac "\<exists>new::name. (atom new) \<sharp> (c, Lm (p \<bullet> name) (p \<bullet> lm))")
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	77	apply(erule exE)
1500 212e7a3494eb vixed variable names Christian Urban <urbanc@in.tum.de> parents: 1499 diff changeset	78	apply(rule_tac t="p \<bullet> Lm name lm" and
212e7a3494eb vixed variable names Christian Urban <urbanc@in.tum.de> parents: 1499 diff changeset	79	s="(((p \<bullet> name) \<leftrightarrow> new) + p) \<bullet> Lm name lm" in subst)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	80	apply(simp)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	81	apply(subst lm_perm)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	82	apply(subst (2) lm_perm)
1499 21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	83	apply(rule flip_fresh_fresh)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	84	apply(simp add: fresh_def)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	85	apply(simp only: supp_fn')
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	86	apply(simp)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	87	apply(simp add: fresh_Pair)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	88	apply(simp add: lm_perm)
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	89	apply(rule a3)
1499 21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	90	apply(drule_tac x="((p \<bullet> name) \<leftrightarrow> new) + p" in meta_spec)
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	91	apply(simp)
1499 21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	92	apply(simp add: fresh_def)
1500 212e7a3494eb vixed variable names Christian Urban <urbanc@in.tum.de> parents: 1499 diff changeset	93	apply(rule_tac X="supp (c, Lm (p \<bullet> name) (p \<bullet> lm))" in obtain_at_base)
1499 21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	94	apply(simp add: supp_Pair finite_supp)
21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	95	apply(blast)
21dda372fb11 simplified strong induction proof by using flip Christian Urban <urbanc@in.tum.de> parents: 1498 diff changeset	96	done
1483 2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	97	then have "P c (0 \<bullet> lm)" by blast
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	98	then show "P c lm" by simp
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	99	qed
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	100
2ca8e43b53c5 added partial proof for the strong induction principle Christian Urban <urbanc@in.tum.de> parents: 1478 diff changeset	101
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	102	nominal_datatype lam =
c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	103	VAR "name"
c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	104	\| APP "lam" "lam"
1449 b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	105	\| LAM x::"name" t::"lam" bind x in t
1287 8557af71724e slight simplification of the raw-decl generation Christian Urban <urbanc@in.tum.de> parents: 1285 diff changeset	106	\| LET bp::"bp" t::"lam" bind "bi bp" in t
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	107	and bp =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	108	BP "name" "lam"
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	109	binder
1295 0ecc775e5fce Link calls to Raw permutations, FV definition and alpha_definition into the parser. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1290 diff changeset	110	bi::"bp \<Rightarrow> atom set"
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	111	where
1295 0ecc775e5fce Link calls to Raw permutations, FV definition and alpha_definition into the parser. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1290 diff changeset	112	"bi (BP x t) = {atom x}"
1228 c179ad9d2446 declarartion of the raw datatype already works; raw binding functions throw an exception about mutual recursive types Christian Urban <urbanc@in.tum.de> parents: 1223 diff changeset	113
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	114	thm lam_bp_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	115	thm lam_bp_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	116	thm lam_bp_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	117	thm lam_bp_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	118	thm lam_bp_induct
1447 378b8c791de8 derive "inducts" from "induct" instead of lifting again is much faster. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1445 diff changeset	119	thm lam_bp_inducts
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	120	thm lam_bp_distinct
1428 4029105011ca Show that the new types are in finite support typeclass. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1418 diff changeset	121	ML {* Sign.of_sort @{theory} (@{typ lam}, @{sort fs}) *}
4029105011ca Show that the new types are in finite support typeclass. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1418 diff changeset	122
4029105011ca Show that the new types are in finite support typeclass. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1418 diff changeset	123	term "supp (x :: lam)"
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	124
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	125	lemma bi_eqvt:
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	126	shows "(p \<bullet> (bi b)) = bi (p \<bullet> b)"
1441 14b850159df1 Use eqvt. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1439 diff changeset	127	by (rule eqvts)
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	128
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	129	lemma supp_fv:
1461 c79bcbe1983d added the final unfolded result Christian Urban <urbanc@in.tum.de> parents: 1460 diff changeset	130	shows "supp t = fv_lam t"
c79bcbe1983d added the final unfolded result Christian Urban <urbanc@in.tum.de> parents: 1460 diff changeset	131	and "supp bp = fv_bp bp \<and> fv_bi bp = {a. infinite {b. \<not>alpha_bi ((a \<rightleftharpoons> b) \<bullet> bp) bp}}"
1460 0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	132	apply(induct t and bp rule: lam_bp_inducts)
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	133	apply(simp_all add: lam_bp_fv)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	134	(* VAR case *)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	135	apply(simp only: supp_def)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	136	apply(simp only: lam_bp_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	137	apply(simp only: lam_bp_eq_iff)
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	138	apply(simp only: supp_def[symmetric])
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	139	apply(simp only: supp_at_base)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	140	(* APP case *)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	141	apply(simp only: supp_def)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	142	apply(simp only: lam_bp_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	143	apply(simp only: lam_bp_eq_iff)
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	144	apply(simp only: de_Morgan_conj)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	145	apply(simp only: Collect_disj_eq)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	146	apply(simp only: infinite_Un)
04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	147	apply(simp only: Collect_disj_eq)
1449 b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	148	(* LAM case *)
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	149	apply(rule_tac t="supp (LAM name lam)" and s="supp (Abs {atom name} lam)" in subst)
1449 b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	150	apply(simp (no_asm) only: supp_def)
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	151	apply(simp only: lam_bp_perm)
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	152	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	153	apply(simp only: lam_bp_eq_iff)
1449 b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	154	apply(simp only: Abs_eq_iff)
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	155	apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	156	apply(simp only: alpha_gen)
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	157	apply(simp only: supp_eqvt[symmetric])
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	158	apply(simp only: eqvts)
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	159	apply(simp only: supp_Abs)
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	160	(* LET case *)
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	161	apply(rule_tac t="supp (LET bp lam)" and s="supp (Abs (bi bp) lam) \<union> fv_bi bp" in subst)
1449 b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	162	apply(simp (no_asm) only: supp_def)
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	163	apply(simp only: lam_bp_perm)
1460 0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	164	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	165	apply(simp only: lam_bp_eq_iff)
1460 0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	166	apply(simp only: eqvts)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	167	apply(simp only: Abs_eq_iff)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	168	apply(simp only: ex_simps)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	169	apply(simp only: de_Morgan_conj)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	170	apply(simp only: Collect_disj_eq)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	171	apply(simp only: infinite_Un)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	172	apply(simp only: Collect_disj_eq)
1436 04dad9b0136d started supp-fv proofs (is going to work) Christian Urban <urbanc@in.tum.de> parents: 1428 diff changeset	173	apply(simp only: alpha_gen)
1449 b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	174	apply(simp only: supp_eqvt[symmetric])
b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	175	apply(simp only: eqvts)
1460 0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	176	apply(blast)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	177	apply(simp add: supp_Abs)
0fd03936dedb merge and proof of support for non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1457 diff changeset	178	apply(blast)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	179	(* BP case *)
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	180	apply(simp only: supp_def)
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	181	apply(simp only: lam_bp_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	182	apply(simp only: lam_bp_eq_iff)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	183	apply(simp only: de_Morgan_conj)
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	184	apply(simp only: Collect_disj_eq)
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	185	apply(simp only: infinite_Un)
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	186	apply(simp only: Collect_disj_eq)
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	187	apply(simp only: supp_def[symmetric])
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	188	apply(simp only: supp_at_base)
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	189	apply(simp)
1449 b66d754bf1c2 proof for support when bn-function is present, but fb_function is empty Christian Urban <urbanc@in.tum.de> parents: 1439 diff changeset	190	done
1367 9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	191
1461 c79bcbe1983d added the final unfolded result Christian Urban <urbanc@in.tum.de> parents: 1460 diff changeset	192	thm lam_bp_fv[simplified supp_fv(1)[symmetric] supp_fv(2)[THEN conjunct1, symmetric]]
c79bcbe1983d added the final unfolded result Christian Urban <urbanc@in.tum.de> parents: 1460 diff changeset	193
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	194	ML {* val _ = recursive := true *}
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	195
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	196	nominal_datatype lam' =
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	197	VAR' "name"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	198	\| APP' "lam'" "lam'"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	199	\| LAM' x::"name" t::"lam'" bind x in t
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	200	\| LET' bp::"bp'" t::"lam'" bind "bi' bp" in t
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	201	and bp' =
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	202	BP' "name" "lam'"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	203	binder
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	204	bi'::"bp' \<Rightarrow> atom set"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	205	where
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	206	"bi' (BP' x t) = {atom x}"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	207
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	208	thm lam'_bp'_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	209	thm lam'_bp'_eq_iff[no_vars]
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	210	thm lam'_bp'_bn
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	211	thm lam'_bp'_perm
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	212	thm lam'_bp'_induct
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	213	thm lam'_bp'_inducts
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	214	thm lam'_bp'_distinct
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	215	ML {* Sign.of_sort @{theory} (@{typ lam'}, @{sort fs}) *}
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	216
1472 4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	217	lemma supp_fv':
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	218	shows "supp t = fv_lam' t"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	219	and "supp bp = fv_bp' bp"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	220	apply(induct t and bp rule: lam'_bp'_inducts)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	221	apply(simp_all add: lam'_bp'_fv)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	222	(* VAR case *)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	223	apply(simp only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	224	apply(simp only: lam'_bp'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	225	apply(simp only: lam'_bp'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	226	apply(simp only: supp_def[symmetric])
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	227	apply(simp only: supp_at_base)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	228	(* APP case *)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	229	apply(simp only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	230	apply(simp only: lam'_bp'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	231	apply(simp only: lam'_bp'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	232	apply(simp only: de_Morgan_conj)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	233	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	234	apply(simp only: infinite_Un)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	235	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	236	(* LAM case *)
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	237	apply(rule_tac t="supp (LAM' name lam')" and s="supp (Abs {atom name} lam')" in subst)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	238	apply(simp (no_asm) only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	239	apply(simp only: lam'_bp'_perm)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	240	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	241	apply(simp only: lam'_bp'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	242	apply(simp only: Abs_eq_iff)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	243	apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	244	apply(simp only: alpha_gen)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	245	apply(simp only: supp_eqvt[symmetric])
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	246	apply(simp only: eqvts)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	247	apply(simp only: supp_Abs)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	248	(* LET case *)
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	249	apply(rule_tac t="supp (LET' bp' lam')" and
2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	250	s="supp (Abs (bi' bp') (bp', lam'))" in subst)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	251	apply(simp (no_asm) only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	252	apply(simp only: lam'_bp'_perm)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	253	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	254	apply(simp only: lam'_bp'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	255	apply(simp only: Abs_eq_iff)
1471 7fe643ad19e4 The recursive supp just has one equation too much. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1466 diff changeset	256	apply(simp only: alpha_gen)
7fe643ad19e4 The recursive supp just has one equation too much. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1466 diff changeset	257	apply(simp only: eqvts split_def fst_conv snd_conv)
7fe643ad19e4 The recursive supp just has one equation too much. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1466 diff changeset	258	apply(simp only: eqvts[symmetric] supp_Pair)
7fe643ad19e4 The recursive supp just has one equation too much. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1466 diff changeset	259	apply(simp only: eqvts Pair_eq)
1472 4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	260	apply(simp add: supp_Abs supp_Pair)
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	261	apply blast
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	262	apply(simp only: supp_def)
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	263	apply(simp only: lam'_bp'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	264	apply(simp only: lam'_bp'_eq_iff)
1472 4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	265	apply(simp only: de_Morgan_conj)
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	266	apply(simp only: Collect_disj_eq)
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	267	apply(simp only: infinite_Un)
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	268	apply(simp only: Collect_disj_eq)
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	269	apply(simp only: supp_def[symmetric])
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	270	apply(simp only: supp_at_base supp_atom)
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	271	apply simp
4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	272	done
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	273
1472 4fa5365cd871 Fix in alpha; support of the recursive Let works :) Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1471 diff changeset	274	thm lam'_bp'_fv[simplified supp_fv'[symmetric]]
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	275
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	276
1261 853abc14c5c6 added IsaMakefile...but so far included only a test for the parser Christian Urban <urbanc@in.tum.de> parents: 1258 diff changeset	277	text {* example 2 *}
853abc14c5c6 added IsaMakefile...but so far included only a test for the parser Christian Urban <urbanc@in.tum.de> parents: 1258 diff changeset	278
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	279	ML {* val _ = recursive := false *}
1265 fc8f5897b00a first attempt to make sense out of the core-haskell definition Christian Urban <urbanc@in.tum.de> parents: 1261 diff changeset	280	nominal_datatype trm' =
961 0f88e04eb486 Variable takes a 'name'. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 954 diff changeset	281	Var "name"
1265 fc8f5897b00a first attempt to make sense out of the core-haskell definition Christian Urban <urbanc@in.tum.de> parents: 1261 diff changeset	282	\| App "trm'" "trm'"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	283	\| Lam x::"name" t::"trm'" bind x in t
1265 fc8f5897b00a first attempt to make sense out of the core-haskell definition Christian Urban <urbanc@in.tum.de> parents: 1261 diff changeset	284	\| Let p::"pat'" "trm'" t::"trm'" bind "f p" in t
fc8f5897b00a first attempt to make sense out of the core-haskell definition Christian Urban <urbanc@in.tum.de> parents: 1261 diff changeset	285	and pat' =
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	286	PN
c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	287	\| PS "name"
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	288	\| PD "name" "name"
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	289	binder
1299 cbcd4997dac5 most tests work - the ones that do not I commented out Christian Urban <urbanc@in.tum.de> parents: 1298 diff changeset	290	f::"pat' \<Rightarrow> atom set"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	291	where
978 b44592adf235 Improper interface for datatype and function packages and proper interface lateron. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 973 diff changeset	292	"f PN = {}"
1380 dab8d99b37c1 added bn-information, but it is not yet ordered according to the dts Christian Urban <urbanc@in.tum.de> parents: 1378 diff changeset	293	\| "f (PD x y) = {atom x, atom y}"
1299 cbcd4997dac5 most tests work - the ones that do not I commented out Christian Urban <urbanc@in.tum.de> parents: 1298 diff changeset	294	\| "f (PS x) = {atom x}"
1380 dab8d99b37c1 added bn-information, but it is not yet ordered according to the dts Christian Urban <urbanc@in.tum.de> parents: 1378 diff changeset	295
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	296	thm trm'_pat'_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	297	thm trm'_pat'_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	298	thm trm'_pat'_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	299	thm trm'_pat'_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	300	thm trm'_pat'_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	301	thm trm'_pat'_distinct
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	302
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	303	lemma supp_fv_trm'_pat':
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	304	shows "supp t = fv_trm' t"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	305	and "supp bp = fv_pat' bp \<and> {a. infinite {b. \<not>alpha_f ((a \<rightleftharpoons> b) \<bullet> bp) bp}} = fv_f bp"
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	306	apply(induct t and bp rule: trm'_pat'_inducts)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	307	apply(simp_all add: trm'_pat'_fv)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	308	(* VAR case *)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	309	apply(simp only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	310	apply(simp only: trm'_pat'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	311	apply(simp only: trm'_pat'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	312	apply(simp only: supp_def[symmetric])
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	313	apply(simp only: supp_at_base)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	314	(* APP case *)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	315	apply(simp only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	316	apply(simp only: trm'_pat'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	317	apply(simp only: trm'_pat'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	318	apply(simp only: de_Morgan_conj)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	319	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	320	apply(simp only: infinite_Un)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	321	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	322	(* LAM case *)
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	323	apply(rule_tac t="supp (Lam name trm')" and s="supp (Abs {atom name} trm')" in subst)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	324	apply(simp (no_asm) only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	325	apply(simp only: trm'_pat'_perm)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	326	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	327	apply(simp only: trm'_pat'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	328	apply(simp only: Abs_eq_iff)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	329	apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	330	apply(simp only: alpha_gen)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	331	apply(simp only: supp_eqvt[symmetric])
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	332	apply(simp only: eqvts)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	333	apply(simp only: supp_Abs)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	334	(* LET case *)
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	335	apply(rule_tac t="supp (Let pat' trm'1 trm'2)"
2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	336	and s="supp (Abs (f pat') trm'2) \<union> supp trm'1 \<union> fv_f pat'" in subst)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	337	apply(simp (no_asm) only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	338	apply(simp only: trm'_pat'_perm)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	339	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	340	apply(simp only: trm'_pat'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	341	apply(simp only: eqvts)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	342	apply(simp only: Abs_eq_iff)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	343	apply(simp only: ex_simps)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	344	apply(simp only: de_Morgan_conj)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	345	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	346	apply(simp only: infinite_Un)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	347	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	348	apply(simp only: alpha_gen)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	349	apply(simp only: supp_eqvt[symmetric])
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	350	apply(simp only: eqvts)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	351	apply(blast)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	352	apply(simp add: supp_Abs)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	353	apply(blast)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	354	(* PN case *)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	355	apply(simp only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	356	apply(simp only: trm'_pat'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	357	apply(simp only: trm'_pat'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	358	apply(simp)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	359	(* PS case *)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	360	apply(simp only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	361	apply(simp only: trm'_pat'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	362	apply(simp only: trm'_pat'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	363	apply(simp only: supp_def[symmetric])
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	364	apply(simp only: supp_at_base)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	365	apply(simp)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	366	(* PD case *)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	367	apply(simp only: supp_def)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	368	apply(simp only: trm'_pat'_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	369	apply(simp only: trm'_pat'_eq_iff)
1465 4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	370	apply(simp only: de_Morgan_conj)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	371	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	372	apply(simp only: infinite_Un)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	373	apply(simp only: Collect_disj_eq)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	374	apply(simp only: supp_def[symmetric])
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	375	apply(simp add: supp_at_base)
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	376	done
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	377
4de35639fef0 added another supp-proof for the non-recursive case Christian Urban <urbanc@in.tum.de> parents: 1461 diff changeset	378	thm trm'_pat'_fv[simplified supp_fv_trm'_pat'(1)[symmetric] supp_fv_trm'_pat'(2)[THEN conjunct1, symmetric]]
1367 9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	379
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	380	nominal_datatype trm0 =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	381	Var0 "name"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	382	\| App0 "trm0" "trm0"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	383	\| Lam0 x::"name" t::"trm0" bind x in t
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	384	\| Let0 p::"pat0" "trm0" t::"trm0" bind "f0 p" in t
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	385	and pat0 =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	386	PN0
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	387	\| PS0 "name"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	388	\| PD0 "pat0" "pat0"
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	389	binder
1299 cbcd4997dac5 most tests work - the ones that do not I commented out Christian Urban <urbanc@in.tum.de> parents: 1298 diff changeset	390	f0::"pat0 \<Rightarrow> atom set"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	391	where
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	392	"f0 PN0 = {}"
1299 cbcd4997dac5 most tests work - the ones that do not I commented out Christian Urban <urbanc@in.tum.de> parents: 1298 diff changeset	393	\| "f0 (PS0 x) = {atom x}"
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	394	\| "f0 (PD0 p1 p2) = (f0 p1) \<union> (f0 p2)"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	395
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	396	thm trm0_pat0_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	397	thm trm0_pat0_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	398	thm trm0_pat0_bn
1340 f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	399	thm trm0_pat0_perm
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	400	thm trm0_pat0_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	401	thm trm0_pat0_distinct
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	402
c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	403	text {* example type schemes *}
1285 e3ac56d3b7af added example from my phd Christian Urban <urbanc@in.tum.de> parents: 1284 diff changeset	404
1302 d3101a5b9c4d Length fix for nested recursions. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1299 diff changeset	405	nominal_datatype t =
1416 947e5f772a9c Lifting constants. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1398 diff changeset	406	VarTS "name"
947e5f772a9c Lifting constants. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1398 diff changeset	407	\| FunTS "t" "t"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	408	and tyS =
1341 c25f797c7e6e Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1340 diff changeset	409	All xs::"name set" ty::"t" bind xs in ty
954 c009d2535896 very rough example file for how nominal2 specification can be parsed Christian Urban <urbanc@in.tum.de> parents: diff changeset	410
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	411	thm t_tyS_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	412	thm t_tyS_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	413	thm t_tyS_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	414	thm t_tyS_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	415	thm t_tyS_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	416	thm t_tyS_distinct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	417
1473 b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	418	ML {* Sign.of_sort @{theory} (@{typ t}, @{sort fs}) *}
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	419	ML {* Sign.of_sort @{theory} (@{typ tyS}, @{sort fs}) *}
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	420
1478 1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	421	lemma supports_subset:
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	422	fixes S1 S2 :: "atom set"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	423	assumes a: "S1 supports x"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	424	and b: "S1 \<subseteq> S2"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	425	shows "S2 supports x"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	426	using a b
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	427	by (auto simp add: supports_def)
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	428
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	429	lemma finite_fv_t_tyS:
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	430	fixes T::"t"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	431	and S::"tyS"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	432	shows "finite (fv_t T)"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	433	and "finite (fv_tyS S)"
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	434	apply(induct T and S rule: t_tyS_inducts)
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	435	apply(simp_all add: t_tyS_fv)
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	436	done
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	437
1473 b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	438	lemma supp_fv_t_tyS:
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	439	shows "supp T = fv_t T"
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	440	and "supp S = fv_tyS S"
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	441	apply(induct T and S rule: t_tyS_inducts)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	442	apply(simp_all add: t_tyS_fv)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	443	(* VarTS case *)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	444	apply(simp only: supp_def)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	445	apply(simp only: t_tyS_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	446	apply(simp only: t_tyS_eq_iff)
1473 b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	447	apply(simp only: supp_def[symmetric])
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	448	apply(simp only: supp_at_base)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	449	(* FunTS case *)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	450	apply(simp only: supp_def)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	451	apply(simp only: t_tyS_perm)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	452	apply(simp only: t_tyS_eq_iff)
1473 b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	453	apply(simp only: de_Morgan_conj)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	454	apply(simp only: Collect_disj_eq)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	455	apply(simp only: infinite_Un)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	456	apply(simp only: Collect_disj_eq)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	457	(* All case *)
1498 2ff84b1f551f Rename bound variables + minor cleaning. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1496 diff changeset	458	apply(rule_tac t="supp (All fun t)" and s="supp (Abs (atom ` fun) t)" in subst)
1473 b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	459	apply(simp (no_asm) only: supp_def)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	460	apply(simp only: t_tyS_perm)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	461	apply(simp only: permute_ABS)
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	462	apply(simp only: t_tyS_eq_iff)
1473 b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	463	apply(simp only: Abs_eq_iff)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	464	apply(simp only: insert_eqvt atom_eqvt empty_eqvt image_eqvt atom_eqvt_raw)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	465	apply(simp only: alpha_gen)
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	466	apply(simp only: supp_eqvt[symmetric])
b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	467	apply(simp only: eqvts)
1478 1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	468	apply(rule trans)
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	469	apply(rule finite_supp_Abs)
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	470	apply(simp add: finite_fv_t_tyS)
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	471	apply(simp)
1ea4ca823266 added proof of supp/fv for type schemes Christian Urban <urbanc@in.tum.de> parents: 1473 diff changeset	472	done
1473 b4216d0e109a added partial proof of supp for type schemes Christian Urban <urbanc@in.tum.de> parents: 1472 diff changeset	473
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	474	(* example 1 from Terms.thy *)
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	475
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	476	nominal_datatype trm1 =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	477	Vr1 "name"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	478	\| Ap1 "trm1" "trm1"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	479	\| Lm1 x::"name" t::"trm1" bind x in t
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	480	\| Lt1 p::"bp1" "trm1" t::"trm1" bind "bv1 p" in t
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	481	and bp1 =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	482	BUnit1
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	483	\| BV1 "name"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	484	\| BP1 "bp1" "bp1"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	485	binder
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	486	bv1
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	487	where
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	488	"bv1 (BUnit1) = {}"
1392 baa67b07f436 parser produces ordered bn-fun information Christian Urban <urbanc@in.tum.de> parents: 1380 diff changeset	489	\| "bv1 (BP1 bp1 bp2) = (bv1 bp1) \<union> (bv1 bp2)"
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	490	\| "bv1 (BV1 x) = {atom x}"
1392 baa67b07f436 parser produces ordered bn-fun information Christian Urban <urbanc@in.tum.de> parents: 1380 diff changeset	491
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	492	thm trm1_bp1_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	493	thm trm1_bp1_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	494	thm trm1_bp1_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	495	thm trm1_bp1_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	496	thm trm1_bp1_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	497	thm trm1_bp1_distinct
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	498
1367 9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	499	text {* example 3 from Terms.thy *}
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	500
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	501	nominal_datatype trm3 =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	502	Vr3 "name"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	503	\| Ap3 "trm3" "trm3"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	504	\| Lm3 x::"name" t::"trm3" bind x in t
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	505	\| Lt3 r::"rassigns3" t::"trm3" bind "bv3 r" in t
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	506	and rassigns3 =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	507	ANil
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	508	\| ACons "name" "trm3" "rassigns3"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	509	binder
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	510	bv3
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	511	where
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	512	"bv3 ANil = {}"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	513	\| "bv3 (ACons x t as) = {atom x} \<union> (bv3 as)"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	514
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	515	thm trm3_rassigns3_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	516	thm trm3_rassigns3_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	517	thm trm3_rassigns3_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	518	thm trm3_rassigns3_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	519	thm trm3_rassigns3_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	520	thm trm3_rassigns3_distinct
1367 9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	521
9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	522	(* compat should be
9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	523	compat (ANil) pi (PNil) \<equiv> TRue
9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	524	compat (ACons x t ts) pi (ACons x' t' ts') \<equiv> pi o x = x' \<and> alpha t t' \<and> compat ts pi ts'
9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	525	*)
9bbf56cdeb88 added compat definitions to some examples Christian Urban <urbanc@in.tum.de> parents: 1365 diff changeset	526
1251 11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	527	(* example 5 from Terms.thy *)
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	528
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	529	nominal_datatype trm5 =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	530	Vr5 "name"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	531	\| Ap5 "trm5" "trm5"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	532	\| Lt5 l::"lts" t::"trm5" bind "bv5 l" in t
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	533	and lts =
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	534	Lnil
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	535	\| Lcons "name" "trm5" "lts"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	536	binder
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	537	bv5
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	538	where
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	539	"bv5 Lnil = {}"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	540	\| "bv5 (Lcons n t ltl) = {atom n} \<union> (bv5 ltl)"
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful) Christian Urban <urbanc@in.tum.de> parents: 1232 diff changeset	541
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	542	thm trm5_lts_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	543	thm trm5_lts_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	544	thm trm5_lts_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	545	thm trm5_lts_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	546	thm trm5_lts_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	547	thm trm5_lts_distinct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	548
1285 e3ac56d3b7af added example from my phd Christian Urban <urbanc@in.tum.de> parents: 1284 diff changeset	549	(* example from my PHD *)
e3ac56d3b7af added example from my phd Christian Urban <urbanc@in.tum.de> parents: 1284 diff changeset	550
e3ac56d3b7af added example from my phd Christian Urban <urbanc@in.tum.de> parents: 1284 diff changeset	551	atom_decl coname
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	552
1341 c25f797c7e6e Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1340 diff changeset	553	nominal_datatype phd =
1290 a7e7ffb7f362 modified for new binding format - hope it is the intended one Christian Urban <urbanc@in.tum.de> parents: 1287 diff changeset	554	Ax "name" "coname"
a7e7ffb7f362 modified for new binding format - hope it is the intended one Christian Urban <urbanc@in.tum.de> parents: 1287 diff changeset	555	\| Cut n::"coname" t1::"phd" c::"coname" t2::"phd" bind n in t1, bind c in t2
a7e7ffb7f362 modified for new binding format - hope it is the intended one Christian Urban <urbanc@in.tum.de> parents: 1287 diff changeset	556	\| AndR c1::"coname" t1::"phd" c2::"coname" t2::"phd" "coname" bind c1 in t1, bind c2 in t2
a7e7ffb7f362 modified for new binding format - hope it is the intended one Christian Urban <urbanc@in.tum.de> parents: 1287 diff changeset	557	\| AndL1 n::"name" t::"phd" "name" bind n in t
a7e7ffb7f362 modified for new binding format - hope it is the intended one Christian Urban <urbanc@in.tum.de> parents: 1287 diff changeset	558	\| AndL2 n::"name" t::"phd" "name" bind n in t
a7e7ffb7f362 modified for new binding format - hope it is the intended one Christian Urban <urbanc@in.tum.de> parents: 1287 diff changeset	559	\| ImpL c::"coname" t1::"phd" n::"name" t2::"phd" "name" bind c in t1, bind n in t2
1319 d793ce9cd06f potential problem with the phd-example, where two permutations are generated, but only one is used Christian Urban <urbanc@in.tum.de> parents: 1313 diff changeset	560	\| ImpR c::"coname" n::"name" t::"phd" "coname" bind n in t, bind c in t
d793ce9cd06f potential problem with the phd-example, where two permutations are generated, but only one is used Christian Urban <urbanc@in.tum.de> parents: 1313 diff changeset	561
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	562	thm phd_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	563	thm phd_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	564	thm phd_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	565	thm phd_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	566	thm phd_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	567	thm phd_distinct
1285 e3ac56d3b7af added example from my phd Christian Urban <urbanc@in.tum.de> parents: 1284 diff changeset	568
e3ac56d3b7af added example from my phd Christian Urban <urbanc@in.tum.de> parents: 1284 diff changeset	569	(* example form Leroy 96 about modules; OTT *)
1284 212f3ab40cc2 streamlined parser Christian Urban <urbanc@in.tum.de> parents: 1283 diff changeset	570
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	571	nominal_datatype mexp =
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	572	Acc "path"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	573	\| Stru "body"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	574	\| Funct x::"name" "sexp" m::"mexp" bind x in m
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	575	\| FApp "mexp" "path"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	576	\| Ascr "mexp" "sexp"
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	577	and body =
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	578	Empty
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	579	\| Seq c::defn d::"body" bind "cbinders c" in d
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	580	and defn =
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	581	Type "name" "tyty"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	582	\| Dty "name"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	583	\| DStru "name" "mexp"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	584	\| Val "name" "trmtrm"
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	585	and sexp =
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	586	Sig sbody
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	587	\| SFunc "name" "sexp" "sexp"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	588	and sbody =
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	589	SEmpty
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	590	\| SSeq C::spec D::sbody bind "Cbinders C" in D
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	591	and spec =
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	592	Type1 "name"
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	593	\| Type2 "name" "tyty"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	594	\| SStru "name" "sexp"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	595	\| SVal "name" "tyty"
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	596	and tyty =
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	597	Tyref1 "name"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	598	\| Tyref2 "path" "tyty"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	599	\| Fun "tyty" "tyty"
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	600	and path =
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	601	Sref1 "name"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	602	\| Sref2 "path" "name"
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	603	and trmtrm =
1296 790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	604	Tref1 "name"
790940e90db2 some tuning Christian Urban <urbanc@in.tum.de> parents: 1295 diff changeset	605	\| Tref2 "path" "name"
1340 f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	606	\| Lam' v::"name" "tyty" M::"trmtrm" bind v in M
f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	607	\| App' "trmtrm" "trmtrm"
f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	608	\| Let' "body" "trmtrm"
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	609	binder
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	610	cbinders :: "defn \<Rightarrow> atom set"
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	611	and Cbinders :: "spec \<Rightarrow> atom set"
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	612	where
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	613	"cbinders (Type t T) = {atom t}"
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	614	\| "cbinders (Dty t) = {atom t}"
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	615	\| "cbinders (DStru x s) = {atom x}"
1396 08294f4d6c08 Linked parser to fv and alpha. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1392 diff changeset	616	\| "cbinders (Val v M) = {atom v}"
1272 6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	617	\| "Cbinders (Type1 t) = {atom t}"
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	618	\| "Cbinders (Type2 t T) = {atom t}"
6d140b2c751f added ott-example about Leroy96 Christian Urban <urbanc@in.tum.de> parents: 1265 diff changeset	619	\| "Cbinders (SStru x S) = {atom x}"
1396 08294f4d6c08 Linked parser to fv and alpha. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1392 diff changeset	620	\| "Cbinders (SVal v T) = {atom v}"
1265 fc8f5897b00a first attempt to make sense out of the core-haskell definition Christian Urban <urbanc@in.tum.de> parents: 1261 diff changeset	621
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	622	thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	623	thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	624	thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	625	thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	626	thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm_induct
1447 378b8c791de8 derive "inducts" from "induct" instead of lifting again is much faster. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1445 diff changeset	627	thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm_inducts
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	628	thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm_distinct
1392 baa67b07f436 parser produces ordered bn-fun information Christian Urban <urbanc@in.tum.de> parents: 1380 diff changeset	629
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	630	(* example 3 from Peter Sewell's bestiary *)
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	631
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	632	nominal_datatype exp =
1340 f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	633	VarP "name"
f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	634	\| AppP "exp" "exp"
f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	635	\| LamP x::"name" e::"exp" bind x in e
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	636	\| LetP x::"name" p::"pat3" e1::"exp" e2::"exp" bind x in e2, bind "bp'' p" in e1
1378 5c6c950812b1 All examples should work. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1368 diff changeset	637	and pat3 =
1319 d793ce9cd06f potential problem with the phd-example, where two permutations are generated, but only one is used Christian Urban <urbanc@in.tum.de> parents: 1313 diff changeset	638	PVar "name"
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	639	\| PUnit
1378 5c6c950812b1 All examples should work. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1368 diff changeset	640	\| PPair "pat3" "pat3"
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	641	binder
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	642	bp'' :: "pat3 \<Rightarrow> atom set"
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	643	where
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	644	"bp'' (PVar x) = {atom x}"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	645	\| "bp'' (PUnit) = {}"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	646	\| "bp'' (PPair p1 p2) = bp'' p1 \<union> bp'' p2"
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	647
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	648	thm exp_pat3_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	649	thm exp_pat3_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	650	thm exp_pat3_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	651	thm exp_pat3_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	652	thm exp_pat3_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	653	thm exp_pat3_distinct
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	654
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	655	(* example 6 from Peter Sewell's bestiary *)
1341 c25f797c7e6e Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1340 diff changeset	656	nominal_datatype exp6 =
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	657	EVar name
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	658	\| EPair exp6 exp6
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	659	\| ELetRec x::name p::pat6 e1::exp6 e2::exp6 bind x in e1, bind x in e2, bind "bp6 p" in e1
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	660	and pat6 =
1340 f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	661	PVar' name
f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	662	\| PUnit'
f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	663	\| PPair' pat6 pat6
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	664	binder
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	665	bp6 :: "pat6 \<Rightarrow> atom set"
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	666	where
1340 f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	667	"bp6 (PVar' x) = {atom x}"
f201eb6acafc Lift BV,FV,Permutations and injection :). Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1338 diff changeset	668	\| "bp6 (PUnit') = {}"
1341 c25f797c7e6e Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1340 diff changeset	669	\| "bp6 (PPair' p1 p2) = bp6 p1 \<union> bp6 p2"
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	670
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	671	thm exp6_pat6_fv
1496 fd483d8f486b Prove pseudo-inject (eq-iff) on the exported level and rename appropriately. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1486 diff changeset	672	thm exp6_pat6_eq_iff
1418 632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	673	thm exp6_pat6_bn
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	674	thm exp6_pat6_perm
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	675	thm exp6_pat6_induct
632b08744613 With the 4 cheats, all examples fully lift. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1416 diff changeset	676	thm exp6_pat6_distinct
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	677
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	678	(* THE REST ARE NOT SUPPOSED TO WORK YET *)
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	679
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	680	(* example 7 from Peter Sewell's bestiary *)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	681	(* dest_Const raised
1341 c25f797c7e6e Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1340 diff changeset	682	nominal_datatype exp7 =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	683	EVar' name
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	684	\| EUnit'
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	685	\| EPair' exp7 exp7
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	686	\| ELetRec' l::lrbs e::exp7 bind "b7s l" in e, bind "b7s l" in l
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	687	and lrb =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	688	Assign' name exp7
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	689	and lrbs =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	690	Single' lrb
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	691	\| More' lrb lrbs
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	692	binder
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	693	b7 :: "lrb \<Rightarrow> atom set" and
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	694	b7s :: "lrbs \<Rightarrow> atom set"
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	695	where
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	696	"b7 (Assign x e) = {atom x}"
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	697	\| "b7s (Single a) = b7 a"
1341 c25f797c7e6e Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1340 diff changeset	698	\| "b7s (More a as) = (b7 a) \<union> (b7s as)"
1361 1e811e3424f3 With restricted_nominal=1, exp7 and exp8 work. Not sure about proving bn_rsp there. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1355 diff changeset	699	thm alpha_exp7_raw_alpha_lrb_raw_alpha_lrbs_raw.intros
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	700	*)
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	701
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	702	(* example 8 from Peter Sewell's bestiary *)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	703	(*
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	704	*** fv_bn: recursive argument, but wrong datatype.
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	705	*** At command "nominal_datatype".
1341 c25f797c7e6e Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1340 diff changeset	706	nominal_datatype exp8 =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	707	EVar' name
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	708	\| EUnit'
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	709	\| EPair' exp8 exp8
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	710	\| ELetRec' l::lrbs8 e::exp8 bind "b_lrbs8 l" in e, bind "b_lrbs8 l" in l
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	711	and fnclause =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	712	K' x::name p::pat8 e::exp8 bind "b_pat p" in e
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	713	and fnclauses =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	714	S' fnclause
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	715	\| ORs' fnclause fnclauses
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	716	and lrb8 =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	717	Clause' fnclauses
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	718	and lrbs8 =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	719	Single' lrb8
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	720	\| More' lrb8 lrbs8
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	721	and pat8 =
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	722	PVar'' name
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	723	\| PUnit''
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	724	\| PPair'' pat8 pat8
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	725	binder
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	726	b_lrbs8 :: "lrbs8 \<Rightarrow> atom set" and
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	727	b_pat :: "pat8 \<Rightarrow> atom set" and
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	728	b_fnclauses :: "fnclauses \<Rightarrow> atom set" and
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	729	b_fnclause :: "fnclause \<Rightarrow> atom set" and
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	730	b_lrb8 :: "lrb8 \<Rightarrow> atom set"
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	731	where
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	732	"b_lrbs8 (Single' l) = b_lrb8 l"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	733	\| "b_lrbs8 (More' l ls) = b_lrb8 l \<union> b_lrbs8 ls"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	734	\| "b_pat (PVar'' x) = {atom x}"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	735	\| "b_pat (PUnit'') = {}"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	736	\| "b_pat (PPair'' p1 p2) = b_pat p1 \<union> b_pat p2"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	737	\| "b_fnclauses (S' fc) = (b_fnclause fc)"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	738	\| "b_fnclauses (ORs' fc fcs) = (b_fnclause fc) \<union> (b_fnclauses fcs)"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	739	\| "b_lrb8 (Clause' fcs) = (b_fnclauses fcs)"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	740	\| "b_fnclause (K' x pat exp8) = {atom x}"
1361 1e811e3424f3 With restricted_nominal=1, exp7 and exp8 work. Not sure about proving bn_rsp there. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1355 diff changeset	741	thm alpha_exp8_raw_alpha_fnclause_raw_alpha_fnclauses_raw_alpha_lrb8_raw_alpha_lrbs8_raw_alpha_pat8_raw.intros
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	742	*)
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	743	(* example 4 from Terms.thy *)
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	744	(* fv_eqvt does not work, we need to repaire defined permute functions
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	745	defined fv and defined alpha... *)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	746	(* lists-datastructure does not work yet
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	747	nominal_datatype trm4 =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	748	Vr4 "name"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	749	\| Ap4 "trm4" "trm4 list"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	750	\| Lm4 x::"name" t::"trm4" bind x in t
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	751
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	752	thm alpha_trm4_raw_alpha_trm4_raw_list.intros[no_vars]
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	753	thm fv_trm4_raw_fv_trm4_raw_list.simps[no_vars]
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	754	*)
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	755	(* core haskell *)
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	756	atom_decl var
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	757	atom_decl tvar
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	758
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	759	(* there are types, coercion types and regular types *)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	760	(* list-data-structure
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	761	nominal_datatype tkind =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	762	KStar
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	763	\| KFun "tkind" "tkind"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	764	and ckind =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	765	CKEq "ty" "ty"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	766	and ty =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	767	TVar "tvar"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	768	\| TC "string"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	769	\| TApp "ty" "ty"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	770	\| TFun "string" "ty list"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	771	\| TAll tv::"tvar" "tkind" T::"ty" bind tv in T
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	772	\| TEq "ty" "ty" "ty"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	773	and co =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	774	CC "string"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	775	\| CApp "co" "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	776	\| CFun "string" "co list"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	777	\| CAll tv::"tvar" "ckind" C::"co" bind tv in C
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	778	\| CEq "co" "co" "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	779	\| CSym "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	780	\| CCir "co" "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	781	\| CLeft "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	782	\| CRight "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	783	\| CSim "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	784	\| CRightc "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	785	\| CLeftc "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	786	\| CCoe "co" "co"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	787
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	788	abbreviation
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	789	"atoms A \<equiv> atom ` A"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	790
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	791	nominal_datatype trm =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	792	Var "var"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	793	\| C "string"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	794	\| LAM tv::"tvar" "kind" t::"trm" bind tv in t
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	795	\| APP "trm" "ty"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	796	\| Lam v::"var" "ty" t::"trm" bind v in t
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	797	\| App "trm" "trm"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	798	\| Let x::"var" "ty" "trm" t::"trm" bind x in t
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	799	\| Case "trm" "assoc list"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	800	\| Cast "trm" "ty" --"ty is supposed to be a coercion type only"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	801	and assoc =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	802	A p::"pat" t::"trm" bind "bv p" in t
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	803	and pat =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	804	K "string" "(tvar \<times> kind) list" "(var \<times> ty) list"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	805	binder
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	806	bv :: "pat \<Rightarrow> atom set"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	807	where
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	808	"bv (K s ts vs) = (atoms (set (map fst ts))) \<union> (atoms (set (map fst vs)))"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	809	*)
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	810
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	811	text {* weirdo example from Peter Sewell's bestiary *}
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	812
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	813	nominal_datatype weird =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	814	WBind x::"name" y::"name" p1::"weird" p2::"weird" p3::"weird"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	815	bind x in p1, bind x in p2, bind y in p2, bind y in p3
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	816	\| WV "name"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	817	\| WP "weird" "weird"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	818
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	819	thm permute_weird_raw.simps[no_vars]
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	820	thm alpha_weird_raw.intros[no_vars]
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	821	thm fv_weird_raw.simps[no_vars]
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	822
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	823	(* example 6 from Terms.thy *)
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	824
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	825	(* BV is not respectful, needs to fail*)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	826	(*
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	827	nominal_datatype trm6 =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	828	Vr6 "name"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	829	\| Lm6 x::"name" t::"trm6" bind x in t
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	830	\| Lt6 left::"trm6" right::"trm6" bind "bv6 left" in right
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	831	binder
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	832	bv6
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	833	where
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	834	"bv6 (Vr6 n) = {}"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	835	\| "bv6 (Lm6 n t) = {atom n} \<union> bv6 t"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	836	\| "bv6 (Lt6 l r) = bv6 l \<union> bv6 r"
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	837	*)
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	838
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	839	(* example 7 from Terms.thy *)
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	840	(* BV is not respectful, needs to fail*)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	841	(*
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	842	nominal_datatype trm7 =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	843	Vr7 "name"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	844	\| Lm7 l::"name" r::"trm7" bind l in r
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	845	\| Lt7 l::"trm7" r::"trm7" bind "bv7 l" in r
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	846	binder
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	847	bv7
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	848	where
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	849	"bv7 (Vr7 n) = {atom n}"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	850	\| "bv7 (Lm7 n t) = bv7 t - {atom n}"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	851	\| "bv7 (Lt7 l r) = bv7 l \<union> bv7 r"
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	852	*)
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	853
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	854	(* example 8 from Terms.thy *)
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	855
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	856	(* Binding in a term under a bn, needs to fail *)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	857	(*
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	858	nominal_datatype foo8 =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	859	Foo0 "name"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	860	\| Foo1 b::"bar8" f::"foo8" bind "bv8 b" in f --"check fo error if this is called foo"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	861	and bar8 =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	862	Bar0 "name"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	863	\| Bar1 "name" s::"name" b::"bar8" bind s in b
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	864	binder
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	865	bv8
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	866	where
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	867	"bv8 (Bar0 x) = {}"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	868	\| "bv8 (Bar1 v x b) = {atom v}"
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	869	*)
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	870	(* example 9 from Terms.thy *)
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	871
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	872	(* BV is not respectful, needs to fail*)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	873	(*
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	874	nominal_datatype lam9 =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	875	Var9 "name"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	876	\| Lam9 n::"name" l::"lam9" bind n in l
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	877	and bla9 =
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	878	Bla9 f::"lam9" s::"lam9" bind "bv9 f" in s
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	879	binder
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	880	bv9
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	881	where
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	882	"bv9 (Var9 x) = {}"
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	883	\| "bv9 (Lam9 x b) = {atom x}"
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	884	*)
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	885
1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	886	(* Type schemes with separate datatypes *)
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	887	nominal_datatype T =
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	888	TVar "name"
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	889	\| TFun "T" "T"
1398 1f3c01345c9e Reordered examples in Test. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 1396 diff changeset	890
1466 d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	891	(* PROBLEM:
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	892	*** exception Datatype raised
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	893	*** (line 218 of "/usr/local/src/Isabelle_16-Mar-2010/src/HOL/Tools/Datatype/datatype_aux.ML")
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	894	*** At command "nominal_datatype".
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	895	nominal_datatype TyS =
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	896	TAll xs::"name list" ty::"T" bind xs in ty
d18defacda25 commented out examples that should not work; but for example type-scheme example should work Christian Urban <urbanc@in.tum.de> parents: 1465 diff changeset	897	*)
1312 b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	898
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	899	(* example 9 from Peter Sewell's bestiary *)
b0eae8c93314 added some more examples from Peter Sewell's bestiary Christian Urban <urbanc@in.tum.de> parents: 1304 diff changeset	900	(* run out of steam at the moment *)
1265 fc8f5897b00a first attempt to make sense out of the core-haskell definition Christian Urban <urbanc@in.tum.de> parents: 1261 diff changeset	901
961 0f88e04eb486 Variable takes a 'name'. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 954 diff changeset	902	end
1223 160343d86a6f "raw"-ified the term-constructors and types given in the specification Christian Urban <urbanc@in.tum.de> parents: 1194 diff changeset	903
160343d86a6f "raw"-ified the term-constructors and types given in the specification Christian Urban <urbanc@in.tum.de> parents: 1194 diff changeset	904
1228 c179ad9d2446 declarartion of the raw datatype already works; raw binding functions throw an exception about mutual recursive types Christian Urban <urbanc@in.tum.de> parents: 1223 diff changeset	905

author	Cezary Kaliszyk <kaliszyk@in.tum.de>
	Thu, 18 Mar 2010 10:12:41 +0100
changeset 1502	cc0dcf248da3
parent 1500	212e7a3494eb
child 1510	be911e869fde
permissions	-rw-r--r--