(*  Title:      HOL/SMT_Examples/Boogie.thy

    Author:     Sascha Boehme, TU Muenchen

*)

section \<open>Proving Boogie-generated verification conditions\<close>

theory Boogie

imports Main

(*WAS    "boogie_file" :: thy_load ("b2i") *)

keywords "boogie_file" :: thy_load

begin

text \<open>

HOL-Boogie and its applications are described in:

\begin{itemize}

\item Sascha B"ohme, K. Rustan M. Leino, and Burkhart Wolff.

HOL-Boogie --- An Interactive Prover for the Boogie Program-Verifier.

Theorem Proving in Higher Order Logics, 2008.

\item Sascha B"ohme, Micha{\l} Moskal, Wolfram Schulte, and Burkhart Wolff.

HOL-Boogie --- An Interactive Prover-Backend for the Verifying C Compiler.

Journal of Automated Reasoning, 2009.

\end{itemize}

\<close>

section \<open>Built-in types and functions of Boogie\<close>

subsection \<open>Integer arithmetics\<close>

text \<open>

The operations \<open>div\<close> and \<open>mod\<close> are built-in in Boogie, but

without a particular semantics due to different interpretations in

programming languages. We assume that each application comes with a

proper axiomatization.

\<close>

axiomatization

  boogie_div :: "int \<Rightarrow> int \<Rightarrow> int" (infixl "div'_b" 70) and

  boogie_mod :: "int \<Rightarrow> int \<Rightarrow> int" (infixl "mod'_b" 70)

section \<open>Setup\<close>

ML_file \<open>boogie.ML\<close>

section \<open>Verification condition proofs\<close>

declare [[smt_oracle = false]]

declare [[smt_read_only_certificates = true]]

external_file \<open>Boogie_Max.certs\<close>

declare [[smt_certificates = "Boogie_Max.certs"]]

(*WAS       \<open>Boogie_Max\<close> *)

boogie_file \<open>Boogie_Max.b2i\<close>

external_file \<open>Boogie_Dijkstra.certs\<close>

declare [[smt_certificates = "Boogie_Dijkstra.certs"]]

(*WAS       \<open>Boogie_Dijkstra\<close> *)

boogie_file \<open>Boogie_Dijkstra.b2i\<close>

declare [[z3_extensions = true]]

external_file \<open>VCC_Max.certs\<close>

declare [[smt_certificates = "VCC_Max.certs"]]

(*WAS       \<open>VCC_Max\<close> *)

boogie_file \<open>VCC_Max.b2i\<close>

end