Theory Com (Isabelle2005: October 2005)

# Theory Com

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theory Com
imports Main
begin

    (*  Title:        HOL/IMP/Com.thy
        ID:           $Id: Com.thy,v 1.15 2005/06/17 14:13:07 haftmann Exp $
        Author:       Heiko Loetzbeyer & Robert Sandner & Tobias Nipkow, TUM
        Isar Version: Gerwin Klein, 2001
        Copyright     1994 TUM
    *)

    header "Syntax of Commands"

    theory Com imports Main begin

    typedecl loc
      -- "an unspecified (arbitrary) type of locations
          (adresses/names) for variables"

    types
      val   = nat -- "or anything else, @{text nat} used in examples"
      state = "loc => val"
      aexp  = "state => val"
      bexp  = "state => bool"
      -- "arithmetic and boolean expressions are not modelled explicitly here,"
      -- "they are just functions on states"

    datatype
      com = SKIP
          | Assign loc aexp         ("_ :== _ " 60)
          | Semi   com com          ("_; _"  [60, 60] 10)
          | Cond   bexp com com     ("IF _ THEN _ ELSE _"  60)
          | While  bexp com         ("WHILE _ DO _"  60)

    syntax (latex)
      SKIP :: com   ("\<SKIP>")
      Cond :: "bexp => com => com => com"  ("\<IF> _ \<THEN> _ \<ELSE> _"  60)
      While :: "bexp => com => com" ("\<WHILE> _ \<DO> _"  60)

    end