Nominal/Test.thy
author Cezary Kaliszyk <kaliszyk@in.tum.de>
Fri, 19 Mar 2010 15:01:01 +0100
changeset 1549 74888979e9cd
parent 1522 4f8bab472a83
child 1553 4355eb3b7161
permissions -rw-r--r--
Update Test to use fset.
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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c009d2535896 very rough example file for how nominal2 specification can be parsed
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theory Test
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c3dfd4193b42 Experiments with proving weird transp
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imports "Parser" "../Attic/Prove"
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begin
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text {* example 1, equivalent to example 2 from Terms *}
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0577afdb1732 Porting from Lift to Parser; until defining the Quotient type.
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4029105011ca Show that the new types are in finite support typeclass.
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atom_decl name
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7c8cd6eae8e2 FV_bn generated for recursive functions as well, and used in main fv for bindings.
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ML {* val _ = recursive := false *}
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nominal_datatype lm =
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  Vr "name"
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| Ap "lm" "lm"
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| Lm x::"name" l::"lm"  bind x in l
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lemma finite_fv:
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  shows "finite (fv_lm t)"
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apply(induct t rule: lm.induct)
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apply(simp_all)
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done
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lemma supp_fn:
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  shows "supp t = fv_lm t"
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apply(induct t rule: lm.induct)
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apply(simp_all)
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apply(simp only: supp_def)
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apply(simp only: lm.perm)
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apply(simp only: lm.eq_iff)
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apply(simp only: supp_def[symmetric])
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apply(simp only: supp_at_base)
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apply(simp (no_asm) only: supp_def)
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apply(simp only: lm.perm)
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apply(simp only: lm.eq_iff)
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apply(simp only: de_Morgan_conj)
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apply(simp only: Collect_disj_eq)
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apply(simp only: infinite_Un)
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apply(simp only: Collect_disj_eq)
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apply(simp only: supp_def[symmetric])
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2ff84b1f551f Rename bound variables + minor cleaning.
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apply(rule_tac t="supp (Lm name lm)" and s="supp (Abs {atom name} lm)" in subst)
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apply(simp (no_asm) only: supp_def)
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apply(simp only: lm.perm)
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apply(simp only: permute_ABS)
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apply(simp only: lm.eq_iff)
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apply(simp only: Abs_eq_iff)
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apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
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apply(simp only: alpha_gen)
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apply(simp only: supp_eqvt[symmetric])
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apply(simp only: eqvts)
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apply(simp only: supp_Abs)
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done
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lemmas supp_fn' = lm.fv[simplified supp_fn[symmetric]]
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lemma
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  fixes c::"'a::fs"
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  assumes a1: "\<And>name c. P c (Vr name)"
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  and     a2: "\<And>lm1 lm2 c. \<lbrakk>\<And>d. P d lm1; \<And>d. P d lm2\<rbrakk> \<Longrightarrow> P c (Ap lm1 lm2)"
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  and     a3: "\<And>name lm c. \<lbrakk>atom name \<sharp> c; \<And>d. P d lm\<rbrakk> \<Longrightarrow> P c (Lm name lm)"
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  shows "P c lm"
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proof -
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  have "\<And>p. P c (p \<bullet> lm)"
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    apply(induct lm arbitrary: c rule: lm.induct)
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    apply(simp only: lm.perm)
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    apply(rule a1)
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    apply(simp only: lm.perm)
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    apply(rule a2)
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    apply(blast)[1]
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    apply(assumption)
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    apply(subgoal_tac "\<exists>new::name. (atom new) \<sharp> (c, Lm (p \<bullet> name) (p \<bullet> lm))")
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    apply(erule exE)
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    apply(rule_tac t="p \<bullet> Lm name lm" and 
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                   s="(((p \<bullet> name) \<leftrightarrow> new) + p) \<bullet> Lm name lm" in subst)
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    apply(simp del: lm.perm)
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    apply(subst lm.perm)
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    apply(subst (2) lm.perm)
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    apply(rule flip_fresh_fresh)
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    apply(simp add: fresh_def)
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    apply(simp only: supp_fn')
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    apply(simp)
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    80
    apply(simp add: fresh_Pair)
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    81
    apply(simp)
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    82
    apply(rule a3)
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    83
    apply(simp add: fresh_Pair)
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    84
    apply(drule_tac x="((p \<bullet> name) \<leftrightarrow> new) + p" in meta_spec)
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    85
    apply(simp)
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    86
    apply(simp add: fresh_def)
1500
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    87
    apply(rule_tac X="supp (c, Lm (p \<bullet> name) (p \<bullet> lm))" in obtain_at_base)
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    88
    apply(simp add: supp_Pair finite_supp)
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    89
    apply(blast)
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    90
    done
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    91
  then have "P c (0 \<bullet> lm)" by blast
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    92
  then show "P c lm" by simp
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    93
qed
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    94
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    95
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    96
lemma
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    97
  fixes c::"'a::fs"
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    98
  assumes a1: "\<And>name c. P c (Vr name)"
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    99
  and     a2: "\<And>lm1 lm2 c. \<lbrakk>\<And>d. P d lm1; \<And>d. P d lm2\<rbrakk> \<Longrightarrow> P c (Ap lm1 lm2)"
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   100
  and     a3: "\<And>name lm c. \<lbrakk>atom name \<sharp> c; \<And>d. P d lm\<rbrakk> \<Longrightarrow> P c (Lm name lm)"
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   101
  shows "P c lm"
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   102
proof -
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parents: 1515
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   103
  have "\<And>p. P c (p \<bullet> lm)"
1522
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parents: 1517
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   104
    apply(induct lm arbitrary: c rule: lm.induct)
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parents: 1517
diff changeset
   105
    apply(simp only: lm.perm)
1517
62d6f7acc110 corrected the strong induction principle in the lambda-calculus case; gave a second (oartial) version that is more elegant
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parents: 1515
diff changeset
   106
    apply(rule a1)
1522
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parents: 1517
diff changeset
   107
    apply(simp only: lm.perm)
1517
62d6f7acc110 corrected the strong induction principle in the lambda-calculus case; gave a second (oartial) version that is more elegant
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parents: 1515
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   108
    apply(rule a2)
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parents: 1515
diff changeset
   109
    apply(blast)[1]
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parents: 1515
diff changeset
   110
    apply(assumption)
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   111
    thm at_set_avoiding
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   112
    apply(subgoal_tac "\<exists>q. (q \<bullet> {p \<bullet> atom name}) \<sharp>* c \<and> supp (p \<bullet> Lm name lm) \<sharp>* q")
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   113
    apply(erule exE)
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parents: 1515
diff changeset
   114
    apply(rule_tac t="p \<bullet> Lm name lm" and 
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   115
                   s="q \<bullet> p \<bullet> Lm name lm" in subst)
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   116
    defer
1522
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   117
    apply(simp add: lm.perm)
1517
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parents: 1515
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   118
    apply(rule a3)
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    apply(simp add: eqvts fresh_star_def)
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    apply(drule_tac x="q + p" in meta_spec)
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    apply(simp)
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    sorry
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  then have "P c (0 \<bullet> lm)" by blast
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  then show "P c lm" by simp
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qed
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nominal_datatype lam =
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  VAR "name"
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| APP "lam" "lam"
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| LAM x::"name" t::"lam" bind x in t
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| LET bp::"bp" t::"lam"   bind "bi bp" in t
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and bp =
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  BP "name" "lam"
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binder
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  bi::"bp \<Rightarrow> atom set"
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where
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  "bi (BP x t) = {atom x}"
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thm lam_bp.fv
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thm lam_bp.eq_iff
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thm lam_bp.bn
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thm lam_bp.perm
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thm lam_bp.induct
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thm lam_bp.inducts
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thm lam_bp.distinct
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ML {* Sign.of_sort @{theory} (@{typ lam}, @{sort fs}) *}
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term "supp (x :: lam)"
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lemma bi_eqvt:
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  shows "(p \<bullet> (bi b)) = bi (p \<bullet> b)"
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  by (rule eqvts)
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lemma supp_fv:
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  shows "supp t = fv_lam t" 
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  and "supp bp = fv_bp bp \<and> fv_bi bp = {a. infinite {b. \<not>alpha_bi ((a \<rightleftharpoons> b) \<bullet> bp) bp}}"
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apply(induct t and bp rule: lam_bp.inducts)
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apply(simp_all)
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(* VAR case *)
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apply(simp only: supp_def)
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apply(simp only: lam_bp.perm)
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apply(simp only: lam_bp.eq_iff)
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apply(simp only: supp_def[symmetric])
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apply(simp only: supp_at_base)
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(* APP case *)
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apply(simp only: supp_def)
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apply(simp only: lam_bp.perm)
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apply(simp only: lam_bp.eq_iff)
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apply(simp only: de_Morgan_conj)
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apply(simp only: Collect_disj_eq)
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apply(simp only: infinite_Un)
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apply(simp only: Collect_disj_eq)
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(* LAM case *)
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apply(rule_tac t="supp (LAM name lam)" and s="supp (Abs {atom name} lam)" in subst)
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apply(simp (no_asm) only: supp_def)
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apply(simp only: lam_bp.perm)
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apply(simp only: permute_ABS)
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apply(simp only: lam_bp.eq_iff)
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apply(simp only: Abs_eq_iff)
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apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
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apply(simp only: alpha_gen)
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apply(simp only: supp_eqvt[symmetric])
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apply(simp only: eqvts)
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apply(simp only: supp_Abs)
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(* LET case *)
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apply(rule_tac t="supp (LET bp lam)" and s="supp (Abs (bi bp) lam) \<union> fv_bi bp" in subst)
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apply(simp (no_asm) only: supp_def)
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apply(simp only: lam_bp.perm)
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apply(simp only: permute_ABS)
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apply(simp only: lam_bp.eq_iff)
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apply(simp only: eqvts)
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apply(simp only: Abs_eq_iff)
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apply(simp only: ex_simps)
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apply(simp only: de_Morgan_conj)
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apply(simp only: Collect_disj_eq)
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apply(simp only: infinite_Un)
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apply(simp only: Collect_disj_eq)
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apply(simp only: alpha_gen)
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apply(simp only: supp_eqvt[symmetric])
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apply(simp only: eqvts)
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apply(blast)
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apply(simp add: supp_Abs)
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apply(blast)
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(* BP case *)
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apply(simp only: supp_def)
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apply(simp only: lam_bp.perm)
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apply(simp only: lam_bp.eq_iff)
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apply(simp only: de_Morgan_conj)
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apply(simp only: Collect_disj_eq)
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apply(simp only: infinite_Un)
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apply(simp only: Collect_disj_eq)
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apply(simp only: supp_def[symmetric])
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apply(simp only: supp_at_base)
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apply(simp)
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done
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thm lam_bp.fv[simplified supp_fv(1)[symmetric] supp_fv(2)[THEN conjunct1, symmetric]]
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ML {* val _ = recursive := true *}
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nominal_datatype lam' =
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  VAR' "name"
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| APP' "lam'" "lam'"
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| LAM' x::"name" t::"lam'"  bind x in t
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| LET' bp::"bp'" t::"lam'"   bind "bi' bp" in t
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and bp' =
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  BP' "name" "lam'"
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binder
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  bi'::"bp' \<Rightarrow> atom set"
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where
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  "bi' (BP' x t) = {atom x}"
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thm lam'_bp'.fv
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thm lam'_bp'.eq_iff[no_vars]
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thm lam'_bp'.bn
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thm lam'_bp'.perm
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thm lam'_bp'.induct
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thm lam'_bp'.inducts
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thm lam'_bp'.distinct
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ML {* Sign.of_sort @{theory} (@{typ lam'}, @{sort fs}) *}
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lemma supp_abs_sum: "supp (Abs x (a :: 'a :: fs)) \<union> supp (Abs x (b :: 'b :: fs)) = supp (Abs x (a, b))"
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apply (simp add: supp_Abs supp_Pair)
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apply blast
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done
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lemma supp_fv':
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  shows "supp t = fv_lam' t" 
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  and "supp bp = fv_bp' bp"
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apply(induct t and bp rule: lam'_bp'.inducts)
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apply(simp_all)
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(* VAR case *)
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apply(simp only: supp_def)
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apply(simp only: lam'_bp'.perm)
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apply(simp only: lam'_bp'.eq_iff)
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apply(simp only: supp_def[symmetric])
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apply(simp only: supp_at_base)
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(* APP case *)
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apply(simp only: supp_def)
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apply(simp only: lam'_bp'.perm)
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apply(simp only: lam'_bp'.eq_iff)
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apply(simp only: de_Morgan_conj)
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apply(simp only: Collect_disj_eq)
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apply(simp only: infinite_Un)
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apply(simp only: Collect_disj_eq)
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(* LAM case *)
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apply(rule_tac t="supp (LAM' name lam')" and s="supp (Abs {atom name} lam')" in subst)
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apply(simp (no_asm) only: supp_def)
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apply(simp only: lam'_bp'.perm)
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apply(simp only: permute_ABS)
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apply(simp only: lam'_bp'.eq_iff)
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apply(simp only: Abs_eq_iff)
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apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
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apply(simp only: alpha_gen)
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apply(simp only: supp_eqvt[symmetric])
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apply(simp only: eqvts)
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apply(simp only: supp_Abs)
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(* LET case *)
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apply(rule_tac t="supp (LET' bp' lam')" and 
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               s="supp (Abs (bi' bp') (bp', lam'))" in subst)
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apply(simp (no_asm) only: supp_def)
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apply(simp only: lam'_bp'.perm)
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apply(simp only: permute_ABS)
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apply(simp only: lam'_bp'.eq_iff)
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apply(simp only: Abs_eq_iff)
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apply(simp only: alpha_gen)
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apply(simp only: eqvts split_def fst_conv snd_conv)
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apply(simp only: eqvts[symmetric] supp_Pair)
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apply(simp only: eqvts Pair_eq)
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apply(simp add: supp_Abs supp_Pair)
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apply blast
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apply(simp only: supp_def)
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apply(simp only: lam'_bp'.perm)
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apply(simp only: lam'_bp'.eq_iff)
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apply(simp only: de_Morgan_conj)
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apply(simp only: Collect_disj_eq)
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apply(simp only: infinite_Un)
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apply(simp only: Collect_disj_eq)
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apply(simp only: supp_def[symmetric])
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apply(simp only: supp_at_base supp_atom)
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apply simp
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done
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thm lam'_bp'.fv[simplified supp_fv'[symmetric]]
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text {* example 2 *}
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ML {* val _ = recursive := false  *}
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nominal_datatype trm' =
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  Var "name"
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| App "trm'" "trm'"
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| Lam x::"name" t::"trm'"          bind x in t
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| Let p::"pat'" "trm'" t::"trm'"   bind "f p" in t
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and pat' =
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  PN
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| PS "name"
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| PD "name" "name"
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binder
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  f::"pat' \<Rightarrow> atom set"
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where
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  "f PN = {}"
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| "f (PD x y) = {atom x, atom y}"
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| "f (PS x) = {atom x}"
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thm trm'_pat'.fv
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thm trm'_pat'.eq_iff
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thm trm'_pat'.bn
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thm trm'_pat'.perm
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thm trm'_pat'.induct
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thm trm'_pat'.distinct
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lemma supp_fv_trm'_pat':
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  shows "supp t = fv_trm' t" 
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  and "supp bp = fv_pat' bp \<and> {a. infinite {b. \<not>alpha_f ((a \<rightleftharpoons> b) \<bullet> bp) bp}} = fv_f bp"
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apply(induct t and bp rule: trm'_pat'.inducts)
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apply(simp_all)
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(* VAR case *)
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apply(simp only: supp_def)
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apply(simp only: trm'_pat'.perm)
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apply(simp only: trm'_pat'.eq_iff)
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apply(simp only: supp_def[symmetric])
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apply(simp only: supp_at_base)
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(* APP case *)
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apply(simp only: supp_def)
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apply(simp only: trm'_pat'.perm)
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apply(simp only: trm'_pat'.eq_iff)
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apply(simp only: de_Morgan_conj)
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apply(simp only: Collect_disj_eq)
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apply(simp only: infinite_Un)
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apply(simp only: Collect_disj_eq)
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(* LAM case *)
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apply(rule_tac t="supp (Lam name trm')" and s="supp (Abs {atom name} trm')" in subst)
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apply(simp (no_asm) only: supp_def)
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apply(simp only: trm'_pat'.perm)
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apply(simp only: permute_ABS)
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apply(simp only: trm'_pat'.eq_iff)
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apply(simp only: Abs_eq_iff)
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apply(simp only: insert_eqvt atom_eqvt empty_eqvt)
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apply(simp only: alpha_gen)
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apply(simp only: supp_eqvt[symmetric])
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apply(simp only: eqvts)
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apply(simp only: supp_Abs)
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(* LET case *)
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2ff84b1f551f Rename bound variables + minor cleaning.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1496
diff changeset
   366
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
   367
           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
   368
apply(simp (no_asm) only: supp_def)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   369
apply(simp only: trm'_pat'.perm)
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: permute_ABS)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   371
apply(simp only: trm'_pat'.eq_iff)
1465
4de35639fef0 added another supp-proof for the non-recursive case
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parents: 1461
diff changeset
   372
apply(simp only: eqvts)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   373
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
   374
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
   375
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
   376
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
   377
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
   378
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
   379
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
   380
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
   381
apply(simp only: eqvts)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   382
apply(blast)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   383
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
   384
apply(blast)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   385
(* PN case *)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   386
apply(simp only: supp_def)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   387
apply(simp only: trm'_pat'.perm)
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   388
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
   389
apply(simp)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   390
(* PS case *)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   391
apply(simp only: supp_def)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   392
apply(simp only: trm'_pat'.perm)
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   393
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
   394
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
   395
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
   396
apply(simp)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   397
(* PD case *)
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   398
apply(simp only: supp_def)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   399
apply(simp only: trm'_pat'.perm)
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   400
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
   401
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
   402
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
   403
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
   404
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
   405
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
   406
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
   407
done
4de35639fef0 added another supp-proof for the non-recursive case
Christian Urban <urbanc@in.tum.de>
parents: 1461
diff changeset
   408
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   409
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
   410
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
   411
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
   412
  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
   413
| App0 "trm0" "trm0"
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   414
| 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
   415
| 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
   416
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
   417
  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
   418
| 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
   419
| 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
   420
binder
1299
cbcd4997dac5 most tests work - the ones that do not I commented out
Christian Urban <urbanc@in.tum.de>
parents: 1298
diff changeset
   421
  f0::"pat0 \<Rightarrow> atom set"
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   422
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
   423
  "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
   424
| "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
   425
| "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
   426
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   427
thm trm0_pat0.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   428
thm trm0_pat0.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   429
thm trm0_pat0.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   430
thm trm0_pat0.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   431
thm trm0_pat0.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   432
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
   433
c009d2535896 very rough example file for how nominal2 specification can be parsed
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   434
text {* example type schemes *}
1285
e3ac56d3b7af added example from my phd
Christian Urban <urbanc@in.tum.de>
parents: 1284
diff changeset
   435
1302
d3101a5b9c4d Length fix for nested recursions.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1299
diff changeset
   436
nominal_datatype t =
1416
947e5f772a9c Lifting constants.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1398
diff changeset
   437
  VarTS "name"
947e5f772a9c Lifting constants.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1398
diff changeset
   438
| FunTS "t" "t"
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   439
and  tyS =
1549
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   440
  All xs::"name fset" 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
   441
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   442
thm t_tyS.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   443
thm t_tyS.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   444
thm t_tyS.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   445
thm t_tyS.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   446
thm t_tyS.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   447
thm t_tyS.distinct
1418
632b08744613 With the 4 cheats, all examples fully lift.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1416
diff changeset
   448
1473
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   449
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
   450
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
   451
1478
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   452
lemma finite_fv_t_tyS:
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   453
  fixes T::"t"
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   454
  and   S::"tyS"
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   455
  shows "finite (fv_t T)" 
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   456
  and   "finite (fv_tyS S)"
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   457
apply(induct T and S rule: t_tyS.inducts)
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   458
apply(simp_all add: t_tyS.fv)
1478
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   459
done
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   460
1473
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   461
lemma supp_fv_t_tyS:
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   462
  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
   463
  and   "supp S = fv_tyS S"
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   464
apply(induct T and S rule: t_tyS.inducts)
1510
be911e869fde Added fv,bn,distinct,perm to the simplifier.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1502
diff changeset
   465
apply(simp_all)
1473
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   466
(* VarTS case *)
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   467
apply(simp only: supp_def)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   468
apply(simp only: t_tyS.perm)
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   469
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
   470
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
   471
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
   472
(* FunTS case *)
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   473
apply(simp only: supp_def)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   474
apply(simp only: t_tyS.perm)
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   475
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
   476
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
   477
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
   478
apply(simp only: infinite_Un)
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   479
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
   480
(* All case *)
1549
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   481
apply(rule_tac t="supp (All fset t)" and s="supp (Abs (fset_to_set (fmap atom fset)) t)" in subst)
1473
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   482
apply(simp (no_asm) only: supp_def)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   483
apply(simp only: t_tyS.perm)
1473
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   484
apply(simp only: permute_ABS)
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   485
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
   486
apply(simp only: Abs_eq_iff)
1549
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   487
apply(simp only: eqvts)
1473
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   488
apply(simp only: alpha_gen)
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   489
apply(simp only: supp_eqvt[symmetric])
1549
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   490
apply(simp only: eqvts eqvts_raw)
1478
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   491
apply(rule trans)
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   492
apply(rule finite_supp_Abs)
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   493
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
   494
apply(simp)
1ea4ca823266 added proof of supp/fv for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1473
diff changeset
   495
done
1473
b4216d0e109a added partial proof of supp for type schemes
Christian Urban <urbanc@in.tum.de>
parents: 1472
diff changeset
   496
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
   497
(* 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
   498
1517
62d6f7acc110 corrected the strong induction principle in the lambda-calculus case; gave a second (oartial) version that is more elegant
Christian Urban <urbanc@in.tum.de>
parents: 1515
diff changeset
   499
62d6f7acc110 corrected the strong induction principle in the lambda-calculus case; gave a second (oartial) version that is more elegant
Christian Urban <urbanc@in.tum.de>
parents: 1515
diff changeset
   500
  
62d6f7acc110 corrected the strong induction principle in the lambda-calculus case; gave a second (oartial) version that is more elegant
Christian Urban <urbanc@in.tum.de>
parents: 1515
diff changeset
   501
62d6f7acc110 corrected the strong induction principle in the lambda-calculus case; gave a second (oartial) version that is more elegant
Christian Urban <urbanc@in.tum.de>
parents: 1515
diff changeset
   502
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
   503
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
   504
  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
   505
| Ap1 "trm1" "trm1"
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   506
| Lm1 x::"name" t::"trm1"       bind x in t
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   507
| 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
   508
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
   509
  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
   510
| 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
   511
| 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
   512
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
   513
  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
   514
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
   515
  "bv1 (BUnit1) = {}"
1392
baa67b07f436 parser produces ordered bn-fun information
Christian Urban <urbanc@in.tum.de>
parents: 1380
diff changeset
   516
| "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
   517
| "bv1 (BV1 x) = {atom x}"
1392
baa67b07f436 parser produces ordered bn-fun information
Christian Urban <urbanc@in.tum.de>
parents: 1380
diff changeset
   518
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   519
thm trm1_bp1.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   520
thm trm1_bp1.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   521
thm trm1_bp1.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   522
thm trm1_bp1.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   523
thm trm1_bp1.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   524
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
   525
1367
9bbf56cdeb88 added compat definitions to some examples
Christian Urban <urbanc@in.tum.de>
parents: 1365
diff changeset
   526
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
   527
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
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
   529
  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
   530
| 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
   531
| 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
   532
| 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
   533
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
   534
  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
   535
| 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
   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
  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
   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
  "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
   540
| "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
   541
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   542
thm trm3_rassigns3.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   543
thm trm3_rassigns3.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   544
thm trm3_rassigns3.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   545
thm trm3_rassigns3.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   546
thm trm3_rassigns3.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   547
thm trm3_rassigns3.distinct
1367
9bbf56cdeb88 added compat definitions to some examples
Christian Urban <urbanc@in.tum.de>
parents: 1365
diff changeset
   548
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
   549
(* 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
   550
11b8798dea5d parsing and definition of raw datatype and bv-function work (not very beautiful)
Christian Urban <urbanc@in.tum.de>
parents: 1232
diff changeset
   551
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
   552
  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
   553
| 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
   554
| 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
   555
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
   556
  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
   557
| 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
   558
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
   559
  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
   560
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
   561
  "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
   562
| "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
   563
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   564
thm trm5_lts.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   565
thm trm5_lts.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   566
thm trm5_lts.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   567
thm trm5_lts.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   568
thm trm5_lts.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   569
thm trm5_lts.distinct
1418
632b08744613 With the 4 cheats, all examples fully lift.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1416
diff changeset
   570
1549
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   571
lemma
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   572
  shows "fv_trm5 t = supp t"
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   573
  and "fv_lts l = supp l \<and> fv_bv5 l = {a. infinite {b. \<not>alpha_bv5 ((a \<rightleftharpoons> b) \<bullet> l) l}}"
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   574
apply(induct t and l rule: trm5_lts.inducts)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   575
apply(simp_all only: trm5_lts.fv)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   576
apply(simp_all only: supp_Abs[symmetric])
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   577
(*apply(simp_all only: supp_abs_sum)*)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   578
apply(simp_all (no_asm) only: supp_def)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   579
apply(simp_all only: trm5_lts.perm)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   580
apply(simp_all only: permute_ABS)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   581
apply(simp_all only: trm5_lts.eq_iff Abs_eq_iff)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   582
(*apply(simp_all only: alpha_gen2)*)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   583
apply(simp_all only: alpha_gen)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   584
apply(simp_all only: eqvts[symmetric] supp_Pair)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   585
apply(simp_all only: eqvts Pair_eq)
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   586
apply(simp_all only: supp_at_base[symmetric,simplified supp_def])
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   587
apply(simp_all only: infinite_Un[symmetric] Collect_disj_eq[symmetric])
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   588
apply(simp_all only: de_Morgan_conj[symmetric])
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   589
apply simp_all
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   590
done
74888979e9cd Update Test to use fset.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1522
diff changeset
   591
1285
e3ac56d3b7af added example from my phd
Christian Urban <urbanc@in.tum.de>
parents: 1284
diff changeset
   592
(* example from my PHD *)
e3ac56d3b7af added example from my phd
Christian Urban <urbanc@in.tum.de>
parents: 1284
diff changeset
   593
e3ac56d3b7af added example from my phd
Christian Urban <urbanc@in.tum.de>
parents: 1284
diff changeset
   594
atom_decl coname
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   595
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
   596
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
   597
   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
   598
|  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
   599
|  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
   600
|  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
   601
|  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
   602
|  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
   603
|  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
   604
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   605
thm phd.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   606
thm phd.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   607
thm phd.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   608
thm phd.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   609
thm phd.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   610
thm phd.distinct
1285
e3ac56d3b7af added example from my phd
Christian Urban <urbanc@in.tum.de>
parents: 1284
diff changeset
   611
e3ac56d3b7af added example from my phd
Christian Urban <urbanc@in.tum.de>
parents: 1284
diff changeset
   612
(* example form Leroy 96 about modules; OTT *)
1284
212f3ab40cc2 streamlined parser
Christian Urban <urbanc@in.tum.de>
parents: 1283
diff changeset
   613
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   614
nominal_datatype mexp =
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   615
  Acc "path"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   616
| Stru "body"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   617
| Funct x::"name" "sexp" m::"mexp"    bind x in m
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   618
| FApp "mexp" "path"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   619
| Ascr "mexp" "sexp"
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   620
and body =
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   621
  Empty
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   622
| 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
   623
and defn =
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   624
  Type "name" "tyty"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   625
| Dty "name"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   626
| DStru "name" "mexp"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   627
| Val "name" "trmtrm"
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   628
and sexp =
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   629
  Sig sbody
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   630
| SFunc "name" "sexp" "sexp"
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   631
and sbody =
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   632
  SEmpty
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   633
| 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
   634
and spec =
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   635
  Type1 "name"
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   636
| Type2 "name" "tyty"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   637
| SStru "name" "sexp"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   638
| SVal "name" "tyty"
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   639
and tyty =
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   640
  Tyref1 "name"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   641
| Tyref2 "path" "tyty"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   642
| Fun "tyty" "tyty"
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   643
and path =
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   644
  Sref1 "name"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   645
| Sref2 "path" "name"
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   646
and trmtrm =
1296
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   647
  Tref1 "name"
790940e90db2 some tuning
Christian Urban <urbanc@in.tum.de>
parents: 1295
diff changeset
   648
| Tref2 "path" "name"
1340
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   649
| 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
   650
| App' "trmtrm" "trmtrm"
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   651
| Let' "body" "trmtrm"
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   652
binder
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   653
    cbinders :: "defn \<Rightarrow> atom set"
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   654
and Cbinders :: "spec \<Rightarrow> atom set"
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   655
where
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   656
  "cbinders (Type t T) = {atom t}"
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   657
| "cbinders (Dty t) = {atom t}"
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   658
| "cbinders (DStru x s) = {atom x}"
1396
08294f4d6c08 Linked parser to fv and alpha.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1392
diff changeset
   659
| "cbinders (Val v M) = {atom v}"
1272
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   660
| "Cbinders (Type1 t) = {atom t}"
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   661
| "Cbinders (Type2 t T) = {atom t}"
6d140b2c751f added ott-example about Leroy96
Christian Urban <urbanc@in.tum.de>
parents: 1265
diff changeset
   662
| "Cbinders (SStru x S) = {atom x}"
1396
08294f4d6c08 Linked parser to fv and alpha.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1392
diff changeset
   663
| "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
   664
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   665
thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   666
thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   667
thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   668
thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   669
thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   670
thm mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.inducts
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   671
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
   672
1522
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   673
lemma
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   674
"fv_mexp j = supp j \<and> fv_body k = supp k \<and> 
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   675
(fv_defn c = supp c \<and> fv_cbinders c = {a. infinite {b. \<not>alpha_cbinders ((a \<rightleftharpoons> b) \<bullet> c) c}}) \<and>
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   676
fv_sexp d = supp d \<and> fv_sbody e = supp e \<and> 
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   677
(fv_spec l = supp l \<and> fv_Cbinders l = {a. infinite {b. \<not>alpha_Cbinders ((a \<rightleftharpoons> b) \<bullet> l) l}}) \<and>
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   678
fv_tyty g = supp g \<and> fv_path h = supp h \<and> fv_trmtrm i = supp i"
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   679
apply(induct rule: mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.induct)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   680
apply(simp_all only: mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.fv)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   681
apply(simp_all only: supp_Abs[symmetric])
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   682
apply(simp_all (no_asm) only: supp_def)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   683
apply(simp_all only: mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.perm)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   684
apply(simp_all only: permute_ABS)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   685
apply(simp_all only: mexp_body_defn_sexp_sbody_spec_tyty_path_trmtrm.eq_iff Abs_eq_iff)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   686
apply(simp_all only: alpha_gen)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   687
apply(simp_all only: eqvts[symmetric] supp_Pair)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   688
apply(simp_all only: eqvts Pair_eq)
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   689
apply(simp_all only: supp_at_base[symmetric,simplified supp_def])
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   690
apply(simp_all only: infinite_Un[symmetric] Collect_disj_eq[symmetric])
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   691
apply(simp_all only: de_Morgan_conj[symmetric])
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   692
apply simp_all
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   693
done
4f8bab472a83 Leroy96 supp=fv and fixes to make it compile
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1517
diff changeset
   694
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   695
(* 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
   696
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   697
nominal_datatype exp =
1340
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   698
  VarP "name"
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   699
| AppP "exp" "exp"
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   700
| 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
   701
| 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
   702
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
   703
  PVar "name"
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   704
| PUnit
1378
5c6c950812b1 All examples should work.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1368
diff changeset
   705
| PPair "pat3" "pat3"
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   706
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
   707
  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
   708
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
   709
  "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
   710
| "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
   711
| "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
   712
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   713
thm exp_pat3.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   714
thm exp_pat3.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   715
thm exp_pat3.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   716
thm exp_pat3.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   717
thm exp_pat3.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   718
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
   719
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   720
(* 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
   721
nominal_datatype exp6 =
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   722
  EVar name
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   723
| EPair exp6 exp6
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   724
| 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
   725
and pat6 =
1340
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   726
  PVar' name
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   727
| PUnit'
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   728
| PPair' pat6 pat6
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   729
binder
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   730
  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
   731
where
1340
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   732
  "bp6 (PVar' x) = {atom x}"
f201eb6acafc Lift BV,FV,Permutations and injection :).
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1338
diff changeset
   733
| "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
   734
| "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
   735
1515
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   736
thm exp6_pat6.fv
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   737
thm exp6_pat6.eq_iff
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   738
thm exp6_pat6.bn
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   739
thm exp6_pat6.perm
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   740
thm exp6_pat6.induct
76fa21f27f22 Rename "_property" to ".property"
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1510
diff changeset
   741
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
   742
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   743
(* THE REST ARE NOT SUPPOSED TO WORK YET *)
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   744
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   745
(* 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
   746
(* 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
   747
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
   748
  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
   749
| 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
   750
| 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
   751
| 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
   752
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
   753
  Assign' name exp7
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   754
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
   755
  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
   756
| More' lrb lrbs
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   757
binder
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   758
  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
   759
  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
   760
where
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   761
  "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
   762
| "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
   763
| "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
   764
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
   765
*)
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   766
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   767
(* 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
   768
(*
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
   769
*** 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
   770
*** 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
   771
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
   772
  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
   773
| 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
   774
| 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
   775
| 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
   776
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
   777
  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
   778
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
   779
  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
   780
| ORs' fnclause fnclauses
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   781
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
   782
  Clause' fnclauses
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   783
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
   784
  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
   785
| More' lrb8 lrbs8
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   786
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
   787
  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
   788
| 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
   789
| PPair'' pat8 pat8
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   790
binder
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   791
  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
   792
  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
   793
  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
   794
  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
   795
  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
   796
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
   797
  "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
   798
| "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
   799
| "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
   800
| "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
   801
| "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
   802
| "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
   803
| "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
   804
| "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
   805
| "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
   806
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
   807
*)
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   808
(* example 4 from Terms.thy *)
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   809
(* 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
   810
   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
   811
(* lists-datastructure does not work yet
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   812
nominal_datatype trm4 =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   813
  Vr4 "name"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   814
| Ap4 "trm4" "trm4 list"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   815
| Lm4 x::"name" t::"trm4"  bind x in t
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   816
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   817
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
   818
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
   819
*)
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   820
(* core haskell *)
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   821
atom_decl var
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   822
atom_decl tvar
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   823
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   824
(* 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
   825
(* list-data-structure
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   826
nominal_datatype tkind =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   827
  KStar
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   828
| KFun "tkind" "tkind"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   829
and ckind =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   830
  CKEq "ty" "ty"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   831
and ty =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   832
  TVar "tvar"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   833
| TC "string"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   834
| TApp "ty" "ty"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   835
| TFun "string" "ty list"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   836
| 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
   837
| TEq "ty" "ty" "ty"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   838
and co =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   839
  CC "string"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   840
| CApp "co" "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   841
| CFun "string" "co list"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   842
| 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
   843
| CEq "co" "co" "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   844
| CSym "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   845
| CCir "co" "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   846
| CLeft "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   847
| CRight "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   848
| CSim "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   849
| CRightc "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   850
| CLeftc "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   851
| CCoe "co" "co"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   852
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   853
abbreviation
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   854
  "atoms A \<equiv> atom ` A"
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
nominal_datatype trm =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   857
  Var "var"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   858
| C "string"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   859
| 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
   860
| APP "trm" "ty"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   861
| 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
   862
| App "trm" "trm"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   863
| 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
   864
| Case "trm" "assoc list"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   865
| 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
   866
and assoc =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   867
  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
   868
and pat =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   869
  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
   870
binder
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   871
 bv :: "pat \<Rightarrow> atom set"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   872
where
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   873
 "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
   874
*)
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   875
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   876
text {* weirdo example from Peter Sewell's bestiary *}
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   877
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   878
nominal_datatype weird =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   879
  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
   880
    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
   881
| WV "name"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   882
| WP "weird" "weird"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   883
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   884
thm permute_weird_raw.simps[no_vars]
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   885
thm alpha_weird_raw.intros[no_vars]
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   886
thm fv_weird_raw.simps[no_vars]
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   887
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   888
(* example 6 from Terms.thy *)
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   889
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   890
(* 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
   891
(*
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   892
nominal_datatype trm6 =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   893
  Vr6 "name"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   894
| Lm6 x::"name" t::"trm6"         bind x in t
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   895
| 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
   896
binder
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   897
  bv6
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   898
where
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   899
  "bv6 (Vr6 n) = {}"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   900
| "bv6 (Lm6 n t) = {atom n} \<union> bv6 t"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   901
| "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
   902
*)
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   903
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
   904
(* example 7 from Terms.thy *)
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   905
(* 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
   906
(*
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   907
nominal_datatype trm7 =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   908
  Vr7 "name"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   909
| Lm7 l::"name" r::"trm7"   bind l in r
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   910
| 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
   911
binder
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   912
  bv7
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   913
where
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   914
  "bv7 (Vr7 n) = {atom n}"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   915
| "bv7 (Lm7 n t) = bv7 t - {atom n}"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   916
| "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
   917
*)
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   918
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   919
(* example 8 from Terms.thy *)
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   920
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   921
(* 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
   922
(*
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   923
nominal_datatype foo8 =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   924
  Foo0 "name"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   925
| 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
   926
and bar8 =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   927
  Bar0 "name"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   928
| 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
   929
binder
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   930
  bv8
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   931
where
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   932
  "bv8 (Bar0 x) = {}"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   933
| "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
   934
*)
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   935
(* example 9 from Terms.thy *)
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   936
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   937
(* 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
   938
(*
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   939
nominal_datatype lam9 =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   940
  Var9 "name"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   941
| Lam9 n::"name" l::"lam9" bind n in l
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   942
and bla9 =
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   943
  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
   944
binder
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   945
  bv9
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   946
where
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   947
  "bv9 (Var9 x) = {}"
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   948
| "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
   949
*)
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   950
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   951
(* 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
   952
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
   953
  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
   954
| TFun "T" "T"
1398
1f3c01345c9e Reordered examples in Test.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 1396
diff changeset
   955
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
   956
(* 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
   957
*** 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
   958
*** (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
   959
*** 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
   960
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
   961
  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
   962
*)
1312
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   963
b0eae8c93314 added some more examples from Peter Sewell's bestiary
Christian Urban <urbanc@in.tum.de>
parents: 1304
diff changeset
   964
(* 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
   965
(* 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
   966
961
0f88e04eb486 Variable takes a 'name'.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 954
diff changeset
   967
end
1223
160343d86a6f "raw"-ified the term-constructors and types given in the specification
Christian Urban <urbanc@in.tum.de>
parents: 1194
diff changeset
   968
160343d86a6f "raw"-ified the term-constructors and types given in the specification
Christian Urban <urbanc@in.tum.de>
parents: 1194
diff changeset
   969
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
   970