Added lifting of pseudo-injectivity, commented out the code again and enabled the weird examples.
--- a/Nominal/Parser.thy Thu Mar 04 15:15:44 2010 +0100
+++ b/Nominal/Parser.thy Thu Mar 04 15:55:53 2010 +0100
@@ -209,6 +209,21 @@
ML {* add_primrec_wrapper *}
+lemma equivp_hack: "equivp x"
+sorry
+ML {*
+fun equivp_hack ctxt rel =
+let
+ val thy = ProofContext.theory_of ctxt
+ val ty = domain_type (fastype_of rel)
+ val cty = ctyp_of thy ty
+ val ct = cterm_of thy rel
+in
+ Drule.instantiate' [SOME cty] [SOME ct] @{thm equivp_hack}
+end
+*}
+
+
ML {*
fun nominal_datatype2 dts bn_funs bn_eqs binds lthy =
let
@@ -249,12 +264,13 @@
val alpha_cases = #elims alpha
val alpha_inj_loc = build_alpha_inj alpha_intros (inject @ distinct) alpha_cases lthy4
val alpha_inj = ProofContext.export lthy4 lthy3 alpha_inj_loc
- val (bv_eqvts, lthy5) = fold_map (build_bv_eqvt perms (raw_bn_eqs @ raw_perm_def) inducts) bns lthy4;
+(* val (bv_eqvts, lthy5) = fold_map (build_bv_eqvt perms (raw_bn_eqs @ raw_perm_def) inducts) bns lthy4;
val (fv_eqvts, lthy6) = build_eqvts Binding.empty fv_ts_loc perms
((flat (map snd bv_eqvts)) @ fv_def_loc @ raw_perm_def) induct lthy5;
val alpha_eqvt_loc = build_alpha_eqvts alpha_ts_loc perms
(raw_perm_def @ alpha_inj_loc) alpha_induct_loc lthy6;
val alpha_eqvt = ProofContext.export lthy6 lthy2 alpha_eqvt_loc;
+ val alpha_equivp_loc = map (equivp_hack lthy6) alpha_ts_loc
val alpha_equivp_loc = build_equivps alpha_ts_loc induct alpha_induct_loc
inject alpha_inj_loc distinct alpha_cases alpha_eqvt_loc lthy6;
val alpha_equivp = ProofContext.export lthy6 lthy2 alpha_equivp_loc;
@@ -299,11 +315,15 @@
val (_, lthy16) = Local_Theory.note ((Binding.name (q_name ^ "_fv"), []), q_fv) lthy15;
val q_bn = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy16, th))) raw_bn_eqs;
val (_, lthy17) = Local_Theory.note ((Binding.name (q_name ^ "_bn"), []), q_bn) lthy16;
+ val inj_unfolded = map (LocalDefs.unfold lthy17 @{thms alpha_gen}) alpha_inj
+ val q_inj_pre = map (fn th => snd (Quotient_Tacs.lifted_attrib (Context.Proof lthy17, th))) inj_unfolded;
+ val q_inj = map (LocalDefs.fold lthy17 @{thms alpha_gen}) q_inj_pre
+ val (_, lthy18) = Local_Theory.note ((Binding.name (q_name ^ "_inject"), []), q_inj) lthy17;*)
in
- ((raw_dt_names, raw_bn_funs, raw_bn_eqs, raw_binds), lthy17)
+ ((raw_dt_names, raw_bn_funs, raw_bn_eqs, raw_binds), lthy4)
end
*}
-
+ML fold
ML name_of_typ
ML {*
--- a/Nominal/Test.thy Thu Mar 04 15:15:44 2010 +0100
+++ b/Nominal/Test.thy Thu Mar 04 15:55:53 2010 +0100
@@ -4,7 +4,7 @@
text {* weirdo example from Peter Sewell's bestiary *}
-(*nominal_datatype weird =
+nominal_datatype weird =
WBind x::"name" y::"name" p1::"weird" p2::"weird" p3::"weird"
bind x in p1, bind x in p2, bind y in p2, bind y in p3
| WV "name"
@@ -19,7 +19,7 @@
local_setup {* (fn ctxt => snd (Local_Theory.note ((@{binding weird_inj}, []), (build_alpha_inj @{thms alpha_weird_raw.intros} @{thms weird_raw.distinct weird_raw.inject} @{thms alpha_weird_raw.cases} ctxt)) ctxt)) *}
thm weird_inj
-local_setup {*
+(*local_setup {*
(fn ctxt => snd (Local_Theory.note ((@{binding alpha_eqvt}, []),
build_alpha_eqvts [@{term alpha_weird_raw}] [@{term "permute :: perm \<Rightarrow> weird_raw \<Rightarrow> weird_raw"}] @{thms permute_weird_raw.simps weird_inj} @{thm alpha_weird_raw.induct} ctxt) ctxt)) *}
@@ -144,10 +144,11 @@
thm permute_lam_raw_permute_bp_raw.simps
thm alpha_lam_raw_alpha_bp_raw.intros[no_vars]
thm fv_lam_raw_fv_bp_raw.simps[no_vars]
-thm lam_bp_induct
+(*thm lam_bp_induct
thm lam_bp_perm
thm lam_bp_fv
thm lam_bp_bn
+thm lam_bp_inject*)
text {* example 2 *}
@@ -171,10 +172,11 @@
thm alpha_trm'_raw_alpha_pat'_raw.intros[no_vars]
thm fv_trm'_raw_fv_pat'_raw.simps[no_vars]
thm f_raw.simps
-thm trm'_pat'_induct
+(*thm trm'_pat'_induct
thm trm'_pat'_perm
thm trm'_pat'_fv
thm trm'_pat'_bn
+thm trm'_pat'_inject*)
nominal_datatype trm0 =
Var0 "name"
@@ -193,10 +195,10 @@
| "f0 (PD0 p1 p2) = (f0 p1) \<union> (f0 p2)"
thm f0_raw.simps
-thm trm0_pat0_induct
+(*thm trm0_pat0_induct
thm trm0_pat0_perm
thm trm0_pat0_fv
-thm trm0_pat0_bn
+thm trm0_pat0_bn*)
text {* example type schemes *}
@@ -210,12 +212,11 @@
*)
-(* alpha_eqvt fails...
nominal_datatype t =
Var "name"
| Fun "t" "t"
and tyS =
- All xs::"name set" ty::"t" bind xs in ty *)
+ All xs::"name set" ty::"t" bind xs in ty
(* example 1 from Terms.thy *)
@@ -271,13 +272,13 @@
(* fv_eqvt does not work, we need to repaire defined permute functions
defined fv and defined alpha... *)
-(*nominal_datatype trm4 =
+nominal_datatype trm4 =
Vr4 "name"
| Ap4 "trm4" "trm4 list"
| Lm4 x::"name" t::"trm4" bind x in t
thm alpha_trm4_raw_alpha_trm4_raw_list.intros[no_vars]
-thm fv_trm4_raw_fv_trm4_raw_list.simps[no_vars]*)
+thm fv_trm4_raw_fv_trm4_raw_list.simps[no_vars]
(* example 5 from Terms.thy *)
@@ -296,7 +297,7 @@
(* example 6 from Terms.thy *)
-(* BV is not respectful, needs to fail
+(* BV is not respectful, needs to fail*)
nominal_datatype trm6 =
Vr6 "name"
| Lm6 x::"name" t::"trm6" bind x in t
@@ -306,11 +307,10 @@
where
"bv6 (Vr6 n) = {}"
| "bv6 (Lm6 n t) = {atom n} \<union> bv6 t"
-| "bv6 (Lt6 l r) = bv6 l \<union> bv6 r" *)
-
+| "bv6 (Lt6 l r) = bv6 l \<union> bv6 r"
(* example 7 from Terms.thy *)
-(* BV is not respectful, needs to fail
+(* BV is not respectful, needs to fail*)
nominal_datatype trm7 =
Vr7 "name"
| Lm7 l::"name" r::"trm7" bind l in r
@@ -320,7 +320,7 @@
where
"bv7 (Vr7 n) = {atom n}"
| "bv7 (Lm7 n t) = bv7 t - {atom n}"
-| "bv7 (Lt7 l r) = bv7 l \<union> bv7 r" *)
+| "bv7 (Lt7 l r) = bv7 l \<union> bv7 r"
(* example 8 from Terms.thy *)
@@ -338,7 +338,7 @@
(* example 9 from Terms.thy *)
-(* BV is not respectful, needs to fail
+(* BV is not respectful, needs to fail*)
nominal_datatype lam9 =
Var9 "name"
| Lam9 n::"name" l::"lam9" bind n in l
@@ -348,13 +348,13 @@
bv9
where
"bv9 (Var9 x) = {}"
-| "bv9 (Lam9 x b) = {atom x}" *)
+| "bv9 (Lam9 x b) = {atom x}"
(* example from my PHD *)
atom_decl coname
-(*nominal_datatype phd =
+nominal_datatype phd =
Ax "name" "coname"
| Cut n::"coname" t1::"phd" c::"coname" t2::"phd" bind n in t1, bind c in t2
| AndR c1::"coname" t1::"phd" c2::"coname" t2::"phd" "coname" bind c1 in t1, bind c2 in t2
@@ -365,7 +365,7 @@
thm alpha_phd_raw.intros[no_vars]
thm fv_phd_raw.simps[no_vars]
-*)
+
(* example form Leroy 96 about modules; OTT *)
@@ -498,7 +498,7 @@
thm quot_respect
(* example 6 from Peter Sewell's bestiary *)
-(*nominal_datatype exp6 =
+nominal_datatype exp6 =
EVar name
| EPair exp6 exp6
| ELetRec x::name p::pat6 e1::exp6 e2::exp6 bind x in e1, bind x in e2, bind "bp6 p" in e1
@@ -511,10 +511,10 @@
where
"bp6 (PVar' x) = {atom x}"
| "bp6 (PUnit') = {}"
-| "bp6 (PPair' p1 p2) = bp6 p1 \<union> bp6 p2"*)
+| "bp6 (PPair' p1 p2) = bp6 p1 \<union> bp6 p2"
(* example 7 from Peter Sewell's bestiary *)
-(*nominal_datatype exp7 =
+nominal_datatype exp7 =
EVar name
| EUnit
| EPair exp7 exp7
@@ -530,10 +530,10 @@
where
"b7 (Assign x e) = {atom x}"
| "b7s (Single a) = b7 a"
-| "b7s (More a as) = (b7 a) \<union> (b7s as)"*)
+| "b7s (More a as) = (b7 a) \<union> (b7s as)"
(* example 8 from Peter Sewell's bestiary *)
-(*nominal_datatype exp8 =
+nominal_datatype exp8 =
EVar name
| EUnit
| EPair exp8 exp8
@@ -567,7 +567,7 @@
| "b_fnclauses (S fc) = (b_fnclause fc)"
| "b_fnclauses (ORs fc fcs) = (b_fnclause fc) \<union> (b_fnclauses fcs)"
| "b_lrb8 (Clause fcs) = (b_fnclauses fcs)"
-| "b_fnclause (K x pat exp8) = {atom x}"*)
+| "b_fnclause (K x pat exp8) = {atom x}"