src/HOL/Metis.thy
author wenzelm
Tue, 25 Mar 2014 19:03:02 +0100
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(*  Title:      HOL/Metis.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:     Jasmin Blanchette, TU Muenchen
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*)
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header {* Metis Proof Method *}
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theory Metis
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imports ATP
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begin
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declare [[ML_print_depth = 0]]
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ML_file "~~/src/Tools/Metis/metis.ML"
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declare [[ML_print_depth = 10]]
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subsection {* Literal selection and lambda-lifting helpers *}
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definition select :: "'a \<Rightarrow> 'a" where
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"select = (\<lambda>x. x)"
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lemma not_atomize: "(\<not> A \<Longrightarrow> False) \<equiv> Trueprop A"
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by (cut_tac atomize_not [of "\<not> A"]) simp
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lemma atomize_not_select: "(A \<Longrightarrow> select False) \<equiv> Trueprop (\<not> A)"
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unfolding select_def by (rule atomize_not)
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lemma not_atomize_select: "(\<not> A \<Longrightarrow> select False) \<equiv> Trueprop A"
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unfolding select_def by (rule not_atomize)
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lemma select_FalseI: "False \<Longrightarrow> select False" by simp
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definition lambda :: "'a \<Rightarrow> 'a" where
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"lambda = (\<lambda>x. x)"
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lemma eq_lambdaI: "x \<equiv> y \<Longrightarrow> x \<equiv> lambda y"
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unfolding lambda_def by assumption
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subsection {* Metis package *}
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ML_file "Tools/Metis/metis_generate.ML"
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ML_file "Tools/Metis/metis_reconstruct.ML"
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ML_file "Tools/Metis/metis_tactic.ML"
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setup {* Metis_Tactic.setup *}
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hide_const (open) select fFalse fTrue fNot fComp fconj fdisj fimplies fequal
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    lambda
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hide_fact (open) select_def not_atomize atomize_not_select not_atomize_select
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    select_FalseI fFalse_def fTrue_def fNot_def fconj_def fdisj_def fimplies_def
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    fequal_def fTrue_ne_fFalse fNot_table fconj_table fdisj_table fimplies_table
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    fequal_table fAll_table fEx_table fNot_law fComp_law fconj_laws fdisj_laws
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    fimplies_laws fequal_laws fAll_law fEx_law lambda_def eq_lambdaI
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end