src/HOL/Sledgehammer.thy
author blanchet
Thu Sep 30 18:59:37 2010 +0200 (2010-09-30)
changeset 39894 35ae5cf8c96a
parent 39890 a1695e2169d0
child 39942 1ae333bfef14
permissions -rw-r--r--
encode number of skolem assumptions in them, for more efficient retrieval later
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(*  Title:      HOL/Sledgehammer.thy
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    Author:     Lawrence C. Paulson, Cambridge University Computer Laboratory
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    Author:     Jia Meng, Cambridge University Computer Laboratory and NICTA
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    Author:     Fabian Immler, TU Muenchen
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    Author:     Jasmin Blanchette, TU Muenchen
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*)
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header {* Sledgehammer: Isabelle--ATP Linkup *}
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theory Sledgehammer
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imports Plain Hilbert_Choice
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uses
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  ("Tools/ATP/atp_problem.ML")
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  ("Tools/ATP/atp_proof.ML")
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  ("Tools/ATP/atp_systems.ML")
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  ("~~/src/Tools/Metis/metis.ML")
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  ("Tools/Sledgehammer/meson_clausify.ML")
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  ("Tools/Sledgehammer/metis_translate.ML")
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  ("Tools/Sledgehammer/metis_reconstruct.ML")
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  ("Tools/Sledgehammer/metis_tactics.ML")
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  ("Tools/Sledgehammer/sledgehammer_util.ML")
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  ("Tools/Sledgehammer/sledgehammer_filter.ML")
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  ("Tools/Sledgehammer/sledgehammer_translate.ML")
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  ("Tools/Sledgehammer/sledgehammer_reconstruct.ML")
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  ("Tools/Sledgehammer/sledgehammer.ML")
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  ("Tools/Sledgehammer/sledgehammer_minimize.ML")
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  ("Tools/Sledgehammer/sledgehammer_isar.ML")
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begin
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lemma TruepropI: "P \<equiv> Q \<Longrightarrow> Trueprop P \<equiv> Trueprop Q"
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by simp
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definition skolem :: "'a \<Rightarrow> 'a" where
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[no_atp]: "skolem = (\<lambda>x. x)"
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definition COMBI :: "'a \<Rightarrow> 'a" where
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[no_atp]: "COMBI P = P"
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definition COMBK :: "'a \<Rightarrow> 'b \<Rightarrow> 'a" where
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[no_atp]: "COMBK P Q = P"
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definition COMBB :: "('b => 'c) \<Rightarrow> ('a => 'b) \<Rightarrow> 'a \<Rightarrow> 'c" where [no_atp]:
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"COMBB P Q R = P (Q R)"
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definition COMBC :: "('a \<Rightarrow> 'b \<Rightarrow> 'c) \<Rightarrow> 'b \<Rightarrow> 'a \<Rightarrow> 'c" where
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[no_atp]: "COMBC P Q R = P R Q"
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definition COMBS :: "('a \<Rightarrow> 'b \<Rightarrow> 'c) \<Rightarrow> ('a \<Rightarrow> 'b) \<Rightarrow> 'a \<Rightarrow> 'c" where
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[no_atp]: "COMBS P Q R = P R (Q R)"
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definition fequal :: "'a \<Rightarrow> 'a \<Rightarrow> bool" where [no_atp]:
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"fequal X Y \<longleftrightarrow> (X = Y)"
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lemma fequal_imp_equal [no_atp]: "\<not> fequal X Y \<or> X = Y"
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by (simp add: fequal_def)
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lemma equal_imp_fequal [no_atp]: "\<not> X = Y \<or> fequal X Y"
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by (simp add: fequal_def)
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lemma equal_imp_equal [no_atp]: "X = Y ==> X = Y"
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by auto
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lemma skolem_COMBK_iff: "P \<longleftrightarrow> skolem (COMBK P (i\<Colon>nat))"
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unfolding skolem_def COMBK_def by (rule refl)
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lemmas skolem_COMBK_I = iffD1 [OF skolem_COMBK_iff]
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lemmas skolem_COMBK_D = iffD2 [OF skolem_COMBK_iff]
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text{*Theorems for translation to combinators*}
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lemma abs_S [no_atp]: "\<lambda>x. (f x) (g x) \<equiv> COMBS f g"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBS_def) 
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done
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lemma abs_I [no_atp]: "\<lambda>x. x \<equiv> COMBI"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBI_def) 
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done
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lemma abs_K [no_atp]: "\<lambda>x. y \<equiv> COMBK y"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBK_def) 
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done
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lemma abs_B [no_atp]: "\<lambda>x. a (g x) \<equiv> COMBB a g"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBB_def) 
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done
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lemma abs_C [no_atp]: "\<lambda>x. (f x) b \<equiv> COMBC f b"
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apply (rule eq_reflection)
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apply (rule ext) 
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apply (simp add: COMBC_def) 
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done
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use "Tools/ATP/atp_problem.ML"
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use "Tools/ATP/atp_proof.ML"
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use "Tools/ATP/atp_systems.ML"
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setup ATP_Systems.setup
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use "~~/src/Tools/Metis/metis.ML"
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use "Tools/Sledgehammer/meson_clausify.ML"
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setup Meson_Clausify.setup
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use "Tools/Sledgehammer/metis_translate.ML"
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use "Tools/Sledgehammer/metis_reconstruct.ML"
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use "Tools/Sledgehammer/metis_tactics.ML"
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setup Metis_Tactics.setup
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use "Tools/Sledgehammer/sledgehammer_util.ML"
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use "Tools/Sledgehammer/sledgehammer_filter.ML"
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use "Tools/Sledgehammer/sledgehammer_translate.ML"
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use "Tools/Sledgehammer/sledgehammer_reconstruct.ML"
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use "Tools/Sledgehammer/sledgehammer.ML"
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setup Sledgehammer.setup
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use "Tools/Sledgehammer/sledgehammer_minimize.ML"
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use "Tools/Sledgehammer/sledgehammer_isar.ML"
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setup Sledgehammer_Isar.setup
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end