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(* Title: HOL/SMT_Examples/Boogie.thy
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Author: Sascha Boehme, TU Muenchen
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*)
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header {* Proving Boogie-generated verification conditions *}
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theory Boogie
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imports Main
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begin
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text {*
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HOL-Boogie and its applications are described in:
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\begin{itemize}
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\item Sascha B"ohme, K. Rustan M. Leino, and Burkhart Wolff.
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HOL-Boogie --- An Interactive Prover for the Boogie Program-Verifier.
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Theorem Proving in Higher Order Logics, 2008.
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\item Sascha B"ohme, Micha{\l} Moskal, Wolfram Schulte, and Burkhart Wolff.
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HOL-Boogie --- An Interactive Prover-Backend for the Verifying C Compiler.
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Journal of Automated Reasoning, 2009.
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\end{itemize}
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*}
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section {* Built-in types and functions of Boogie *}
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subsection {* Integer arithmetics *}
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text {*
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The operations @{text div} and @{text mod} are built-in in Boogie, but
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without a particular semantics due to different interpretations in
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programming languages. We assume that each application comes with a
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proper axiomatization.
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*}
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axiomatization
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boogie_div :: "int \<Rightarrow> int \<Rightarrow> int" (infixl "div'_b" 70) and
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boogie_mod :: "int \<Rightarrow> int \<Rightarrow> int" (infixl "mod'_b" 70)
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section {* Setup *}
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ML_file "boogie.ML"
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section {* Verification condition proofs *}
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declare [[smt_oracle = false]]
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declare [[smt_read_only_certificates = true]]
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declare [[smt_certificates = "Boogie_Max.certs"]]
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setup {* Boogie.boogie_prove "Boogie_Max.b2i" *}
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declare [[smt_certificates = "Boogie_Dijkstra.certs"]]
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setup {* Boogie.boogie_prove "Boogie_Dijkstra.b2i" *}
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declare [[z3_with_extensions = true]]
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declare [[smt_certificates = "VCC_Max.certs"]]
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setup {* Boogie.boogie_prove "VCC_Max.b2i" *}
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end
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