| author | wenzelm |
| Sat, 20 Feb 2021 13:42:37 +0100 | |
| changeset 73255 | 7e2a9a8c2b85 |
| parent 72990 | db8f94656024 |
| child 74503 | 403ce50e6a2a |
| permissions | -rw-r--r-- |
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(* Title: HOL/Hoare/Hoare_Syntax.thy |
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Author: Leonor Prensa Nieto & Tobias Nipkow |
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Author: Walter Guttmann (extension to total-correctness proofs) |
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*) |
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section \<open>Concrete syntax for Hoare logic, with translations for variables\<close> |
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theory Hoare_Syntax |
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imports Main |
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begin |
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syntax |
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"_assign" :: "idt \<Rightarrow> 'b \<Rightarrow> 'com" ("(2_ :=/ _)" [70, 65] 61)
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"_Seq" :: "'com \<Rightarrow> 'com \<Rightarrow> 'com" ("(_;/ _)" [61,60] 60)
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"_Cond" :: "'bexp \<Rightarrow> 'com \<Rightarrow> 'com \<Rightarrow> 'com" ("(1IF _/ THEN _ / ELSE _/ FI)" [0,0,0] 61)
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"_While" :: "'bexp \<Rightarrow> 'assn \<Rightarrow> 'var \<Rightarrow> 'com \<Rightarrow> 'com" ("(1WHILE _/ INV {_} / VAR {_} //DO _ /OD)" [0,0,0,0] 61)
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syntax |
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"_While0" :: "'bexp \<Rightarrow> 'assn \<Rightarrow> 'com \<Rightarrow> 'com" ("(1WHILE _/ INV {_} //DO _ /OD)" [0,0,0] 61)
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translations |
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"WHILE b INV {x} DO c OD" \<rightharpoonup> "WHILE b INV {x} VAR {0} DO c OD"
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syntax |
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"_hoare_vars" :: "[idts, 'assn,'com, 'assn] \<Rightarrow> bool" ("VARS _// {_} // _ // {_}" [0,0,55,0] 50)
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"_hoare_vars_tc" :: "[idts, 'assn, 'com, 'assn] \<Rightarrow> bool" ("VARS _// [_] // _ // [_]" [0,0,55,0] 50)
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syntax (output) |
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"_hoare" :: "['assn, 'com, 'assn] \<Rightarrow> bool" ("{_} // _ // {_}" [0,55,0] 50)
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"_hoare_tc" :: "['assn, 'com, 'assn] \<Rightarrow> bool" ("[_] // _ // [_]" [0,55,0] 50)
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ML_file \<open>hoare_syntax.ML\<close> |
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end |