theory Test+
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imports "Parser"+
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begin+
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+
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(* This file contains only the examples that are not supposed to work yet. *)+
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atom_decl name+
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+
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ML {* val _ = recursive := false  *}+
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+
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(* example 7 from Peter Sewell's bestiary *)+
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(* dest_Const raised+
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nominal_datatype exp7 =+
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  EVar' name+
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| EUnit'+
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| EPair' exp7 exp7+
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| ELetRec' l::lrbs e::exp7 bind "b7s l" in e, bind "b7s l" in l+
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and lrb =+
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  Assign' name exp7+
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and lrbs =+
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  Single' lrb+
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| More' lrb lrbs+
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binder+
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  b7 :: "lrb \<Rightarrow> atom set" and+
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  b7s :: "lrbs \<Rightarrow> atom set"+
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where+
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  "b7 (Assign x e) = {atom x}"+
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| "b7s (Single a) = b7 a"+
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| "b7s (More a as) = (b7 a) \<union> (b7s as)"+
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thm alpha_exp7_raw_alpha_lrb_raw_alpha_lrbs_raw.intros+
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*)+
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+
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(* example 8 from Peter Sewell's bestiary *)+
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(*+
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*** fv_bn: recursive argument, but wrong datatype.+
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*** At command "nominal_datatype".+
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nominal_datatype exp8 =+
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  EVar' name+
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| EUnit'+
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| EPair' exp8 exp8+
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| ELetRec' l::lrbs8 e::exp8 bind "b_lrbs8 l" in e, bind "b_lrbs8 l" in l+
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and fnclause =+
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  K' x::name p::pat8 e::exp8 bind "b_pat p" in e+
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and fnclauses =+
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  S' fnclause+
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| ORs' fnclause fnclauses+
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and lrb8 =+
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  Clause' fnclauses+
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and lrbs8 =+
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  Single' lrb8+
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| More' lrb8 lrbs8+
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and pat8 =+
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  PVar'' name+
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| PUnit''+
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| PPair'' pat8 pat8+
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binder+
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  b_lrbs8 :: "lrbs8 \<Rightarrow> atom set" and+
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  b_pat :: "pat8 \<Rightarrow> atom set" and+
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  b_fnclauses :: "fnclauses \<Rightarrow> atom set" and+
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  b_fnclause :: "fnclause \<Rightarrow> atom set" and+
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  b_lrb8 :: "lrb8 \<Rightarrow> atom set"+
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where+
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  "b_lrbs8 (Single' l) = b_lrb8 l"+
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| "b_lrbs8 (More' l ls) = b_lrb8 l \<union> b_lrbs8 ls"+
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| "b_pat (PVar'' x) = {atom x}"+
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| "b_pat (PUnit'') = {}"+
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| "b_pat (PPair'' p1 p2) = b_pat p1 \<union> b_pat p2"+
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| "b_fnclauses (S' fc) = (b_fnclause fc)"+
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| "b_fnclauses (ORs' fc fcs) = (b_fnclause fc) \<union> (b_fnclauses fcs)"+
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| "b_lrb8 (Clause' fcs) = (b_fnclauses fcs)"+
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| "b_fnclause (K' x pat exp8) = {atom x}"+
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thm alpha_exp8_raw_alpha_fnclause_raw_alpha_fnclauses_raw_alpha_lrb8_raw_alpha_lrbs8_raw_alpha_pat8_raw.intros+
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*)+
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(* example 4 from Terms.thy *)+
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(* fv_eqvt does not work, we need to repaire defined permute functions+
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   defined fv and defined alpha... *)+
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(* lists-datastructure does not work yet+
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nominal_datatype trm4 =+
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  Vr4 "name"+
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| Ap4 "trm4" "trm4 list"+
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| Lm4 x::"name" t::"trm4"  bind x in t+
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+
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thm alpha_trm4_raw_alpha_trm4_raw_list.intros[no_vars]+
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thm fv_trm4_raw_fv_trm4_raw_list.simps[no_vars]+
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*)+
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+
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(* example 8 from Terms.thy *)+
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+
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(* Binding in a term under a bn, needs to fail *)+
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(*+
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nominal_datatype foo8 =+
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  Foo0 "name"+
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| Foo1 b::"bar8" f::"foo8" bind "bv8 b" in f --"check fo error if this is called foo"+
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and bar8 =+
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  Bar0 "name"+
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| Bar1 "name" s::"name" b::"bar8" bind s in b+
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binder+
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  bv8+
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where+
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  "bv8 (Bar0 x) = {}"+
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| "bv8 (Bar1 v x b) = {atom v}"+
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*)+
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+
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(* example 9 from Peter Sewell's bestiary *)+
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(* run out of steam at the moment *)+
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end+
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