| author | Cezary Kaliszyk <kaliszyk@in.tum.de> |
| Wed, 24 Mar 2010 12:05:38 +0100 | |
| changeset 1630 | b295a928c56b |
| parent 1626 | 0d7d0b8adca5 |
| child 1631 | e94bfef17bb8 |
| permissions | -rw-r--r-- |
| 1601 | 1 |
theory ExCoreHaskell |
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imports "Parser" |
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begin |
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(* core haskell *) |
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Experiments with Core Haskell support.
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ML {* val _ = recursive := false *}
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Experiments with Core Haskell support.
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parents:
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ML {* val _ = cheat_bn_eqvt := true *}
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91ab98dd9999
Experiments with Core Haskell support.
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parents:
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ML {* val _ = cheat_bn_rsp := true *}
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91ab98dd9999
Experiments with Core Haskell support.
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parents:
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ML {* val _ = cheat_const_rsp := true *}
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Experiments with Core Haskell support.
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parents:
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ML {* val _ = cheat_alpha_bn_rsp := true *}
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atom_decl var |
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atom_decl tvar |
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Initial list unfoldings in Core Haskell.
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(* there are types, coercion types and regular types list-data-structure *) |
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nominal_datatype tkind = |
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KStar |
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| KFun "tkind" "tkind" |
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and ckind = |
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CKEq "ty" "ty" |
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and ty = |
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TVar "tvar" |
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| TC "char" |
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| TApp "ty" "ty" |
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| TFun "char" "ty_lst" |
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| TAll tv::"tvar" "tkind" T::"ty" bind tv in T |
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| TEq "ty" "ty" "ty" |
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parents:
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and ty_lst = |
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Initial list unfoldings in Core Haskell.
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parents:
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TsNil |
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Initial list unfoldings in Core Haskell.
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| TsCons "ty" "ty_lst" |
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and co = |
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CC "char" |
| 1601 | 34 |
| CApp "co" "co" |
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| CFun "char" "co_lst" |
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| CAll tv::"tvar" "ckind" C::"co" bind tv in C |
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| CEq "co" "co" "co" |
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| CSym "co" |
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| CCir "co" "co" |
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| CLeft "co" |
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| CRight "co" |
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| CSim "co" |
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| CRightc "co" |
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| CLeftc "co" |
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| CCoe "co" "co" |
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and co_lst = |
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Initial list unfoldings in Core Haskell.
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CsNil |
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Initial list unfoldings in Core Haskell.
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| CsCons "co" "co_lst" |
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and trm = |
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Var "var" |
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| C "char" |
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| LAMT tv::"tvar" "tkind" t::"trm" bind tv in t |
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| LAMC tv::"tvar" "ckind" t::"trm" bind tv in t |
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| APP "trm" "ty" |
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| Lam v::"var" "ty" t::"trm" bind v in t |
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| App "trm" "trm" |
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| Let x::"var" "ty" "trm" t::"trm" bind x in t |
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| Case "trm" "assoc_lst" |
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| Cast "trm" "ty" --"ty is supposed to be a coercion type only" |
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and assoc_lst = |
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ANil |
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| ACons p::"pat" t::"trm" "assoc_lst" bind "bv p" in t |
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and pat = |
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K "char" "tvtk_lst" "tvck_lst" "vt_lst" |
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and vt_lst = |
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VTNil |
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| VTCons "var" "ty" "vt_lst" |
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and tvtk_lst = |
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TVTKNil |
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| TVTKCons "tvar" "tkind" "tvtk_lst" |
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and tvck_lst = |
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TVCKNil |
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| TVCKCons "tvar" "ckind" "tvck_lst" |
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binder |
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bv :: "pat \<Rightarrow> atom set" |
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and bv_vt :: "vt_lst \<Rightarrow> atom set" |
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and bv_tvtk :: "tvtk_lst \<Rightarrow> atom set" |
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and bv_tvck :: "tvck_lst \<Rightarrow> atom set" |
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where |
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"bv (K s tvts tvcs vs) = (bv_tvtk tvts) \<union> (bv_tvck tvcs) \<union> (bv_vt vs)" |
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| "bv_vt VTNil = {}"
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| "bv_vt (VTCons v k t) = {atom v} \<union> bv_vt t"
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| "bv_tvtk TVTKNil = {}"
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| "bv_tvtk (TVTKCons v k t) = {atom v} \<union> bv_tvtk t"
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| "bv_tvck TVCKNil = {}"
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| "bv_tvck (TVCKCons v k t) = {atom v} \<union> bv_tvck t"
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lemmas fv_supp=tkind_ckind_ty_ty_lst_co_co_lst_trm_assoc_lst_pat_vt_lst_tvtk_lst_tvck_lst.supp(1-9,11,13,15) |
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lemmas supp=tkind_ckind_ty_ty_lst_co_co_lst_trm_assoc_lst_pat_vt_lst_tvtk_lst_tvck_lst.fv[simplified fv_supp] |
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Parsing bn functions that call other bn functions and transmitting this information to fv/alpha.
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90 |
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lemma |
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assumes a01: "P1 KStar" |
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and a02: "\<And>tkind1 tkind2. \<lbrakk>P1 tkind1; P1 tkind2\<rbrakk> \<Longrightarrow> P1 (KFun tkind1 tkind2)" |
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and a03: "\<And>ty1 ty2. \<lbrakk>P3 ty1; P3 ty2\<rbrakk> \<Longrightarrow> P2 (CKEq ty1 ty2)" |
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and a04: "\<And>tvar. P3 (TVar tvar)" |
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and a05: "\<And>char. P3 (TC char)" |
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and a06: "\<And>ty1 ty2. \<lbrakk>P3 ty1; P3 ty2\<rbrakk> \<Longrightarrow> P3 (TApp ty1 ty2)" |
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and a07: "\<And>char ty_lst. P4 ty_lst \<Longrightarrow> P3 (TFun char ty_lst)" |
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and a08: "\<And>tvar tkind ty. \<lbrakk>P1 tkind; P3 ty\<rbrakk> \<Longrightarrow> P3 (TAll tvar tkind ty)" |
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and a09: "\<And>ty1 ty2 ty3. \<lbrakk>P3 ty1; P3 ty2; P3 ty3\<rbrakk> \<Longrightarrow> P3 (TEq ty1 ty2 ty3)" |
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and a10: "P4 TsNil" |
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and a11: "\<And>ty ty_lst. \<lbrakk>P3 ty; P4 ty_lst\<rbrakk> \<Longrightarrow> P4 (TsCons ty ty_lst)" |
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and a12: "\<And>char. P5 (CC char)" |
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and a13: "\<And>co1 co2. \<lbrakk>P5 co1; P5 co2\<rbrakk> \<Longrightarrow> P5 (CApp co1 co2)" |
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and a14: "\<And>char co_lst. P6 co_lst \<Longrightarrow> P5 (CFun char co_lst)" |
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and a15: "\<And>tvar ckind co. \<lbrakk>P2 ckind; P5 co\<rbrakk> \<Longrightarrow> P5 (CAll tvar ckind co)" |
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and a16: "\<And>co1 co2 co3. \<lbrakk>P5 co1; P5 co2; P5 co3\<rbrakk> \<Longrightarrow> P5 (CEq co1 co2 co3)" |
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and a17: "\<And>co. P5 co \<Longrightarrow> P5 (CSym co)" |
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109 |
and a18: "\<And>co1 co2. \<lbrakk>P5 co1; P5 co2\<rbrakk> \<Longrightarrow> P5 (CCir co1 co2)" |
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110 |
and a19: "\<And>co. P5 co \<Longrightarrow> P5 (CLeft co)" |
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111 |
and a20: "\<And>co. P5 co \<Longrightarrow> P5 (CRight co)" |
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and a21: "\<And>co. P5 co \<Longrightarrow> P5 (CSim co)" |
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113 |
and a22: "\<And>co. P5 co \<Longrightarrow> P5 (CRightc co)" |
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114 |
and a23: "\<And>co. P5 co \<Longrightarrow> P5 (CLeftc co)" |
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115 |
and a24: "\<And>co1 co2. \<lbrakk>P5 co1; P5 co2\<rbrakk> \<Longrightarrow> P5 (CCoe co1 co2)" |
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116 |
and a25: "P6 CsNil" |
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and a26: "\<And>co co_lst. \<lbrakk>P5 co; P6 co_lst\<rbrakk> \<Longrightarrow> P6 (CsCons co co_lst)" |
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118 |
and a27: "\<And>var. P7 (Var var)" |
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119 |
and a28: "\<And>char. P7 (C char)" |
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120 |
and a29: "\<And>tvar tkind trm. \<lbrakk>P1 tkind; P7 trm\<rbrakk> \<Longrightarrow> P7 (LAMT tvar tkind trm)" |
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121 |
and a30: "\<And>tvar ckind trm. \<lbrakk>P2 ckind; P7 trm\<rbrakk> \<Longrightarrow> P7 (LAMC tvar ckind trm)" |
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Working on stating induct.
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parents:
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and a31: "\<And>trm ty. \<lbrakk>P7 trm; P3 ty\<rbrakk> \<Longrightarrow> P7 (APP trm ty)" |
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Working on stating induct.
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parents:
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123 |
and a32: "\<And>var ty trm. \<lbrakk>P3 ty; P7 trm\<rbrakk> \<Longrightarrow> P7 (Lam var ty trm)" |
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Working on stating induct.
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parents:
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124 |
and a33: "\<And>trm1 trm2. \<lbrakk>P7 trm1; P7 trm2\<rbrakk> \<Longrightarrow> P7 (App trm1 trm2)" |
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Working on stating induct.
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parents:
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125 |
and a34: "\<And>var ty trm1 trm2. \<lbrakk>P3 ty; P7 trm1; P7 trm2\<rbrakk> \<Longrightarrow> P7 (ExCoreHaskell.Let var ty trm1 trm2)" |
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Working on stating induct.
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parents:
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changeset
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126 |
and a35: "\<And>trm assoc_lst. \<lbrakk>P7 trm; P8 assoc_lst\<rbrakk> \<Longrightarrow> P7 (Case trm assoc_lst)" |
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Working on stating induct.
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parents:
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127 |
and a36: "\<And>trm ty. \<lbrakk>P7 trm; P3 ty\<rbrakk> \<Longrightarrow> P7 (Cast trm ty)" |
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Working on stating induct.
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parents:
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128 |
and a37: "P8 ANil" |
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Working on stating induct.
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parents:
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129 |
and a38: "\<And>pat trm assoc_lst. \<lbrakk>P9 pat; P7 trm; P8 assoc_lst\<rbrakk> \<Longrightarrow> P8 (ACons pat trm assoc_lst)" |
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Working on stating induct.
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parents:
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changeset
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130 |
and a39: "\<And>char tvtk_lst tvck_lst vt_lst. \<lbrakk>P11 tvtk_lst; P12 tvck_lst; P10 vt_lst\<rbrakk> |
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parents:
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131 |
\<Longrightarrow> P9 (K char tvtk_lst tvck_lst vt_lst)" |
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Working on stating induct.
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132 |
and a40: "P10 VTNil" |
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Working on stating induct.
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parents:
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133 |
and a41: "\<And>var ty vt_lst. \<lbrakk>P3 ty; P10 vt_lst\<rbrakk> \<Longrightarrow> P10 (VTCons var ty vt_lst)" |
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Working on stating induct.
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parents:
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134 |
and a42: "P11 TVTKNil" |
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Working on stating induct.
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parents:
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changeset
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135 |
and a43: "\<And>tvar tkind tvtk_lst. \<lbrakk>P1 tkind; P11 tvtk_lst\<rbrakk> \<Longrightarrow> P11 (TVTKCons tvar tkind tvtk_lst)" |
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Working on stating induct.
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parents:
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136 |
and a44: "P12 TVCKNil" |
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Working on stating induct.
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parents:
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changeset
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137 |
and a45: "\<And>tvar ckind tvck_lst. \<lbrakk>P2 ckind; P12 tvck_lst\<rbrakk> \<Longrightarrow> P12 (TVCKCons tvar ckind tvck_lst)" |
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Working on stating induct.
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parents:
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138 |
shows "P1 tkind \<and> P2 ckind \<and> P3 ty \<and> P4 ty_lst \<and> P5 co \<and> P6 co_lst \<and> |
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Working on stating induct.
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parents:
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139 |
P7 trm \<and> P8 assoc_lst \<and> P9 pat \<and> P10 vt_lst \<and> P11 tvtk_lst \<and> P12 tvck_lst" |
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1615
0ea578c6dae3
Parsing bn functions that call other bn functions and transmitting this information to fv/alpha.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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140 |
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| 1601 | 141 |
end |
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