Theory MemoryParameters (Isabelle2005: October 2005)

# Theory MemoryParameters

Up to index of Isabelle/HOL/TLA/Memory

theory MemoryParameters
imports RPCMemoryParams
uses [MemoryParameters.ML]
begin

    (*
        File:        MemoryParameters.thy
        ID:          $Id: MemoryParameters.thy,v 1.5 2005/09/07 18:22:42 wenzelm Exp $
        Author:      Stephan Merz
        Copyright:   1997 University of Munich

        Theory Name: MemoryParameters
        Logic Image: TLA

        RPC-Memory example: Memory parameters
    *)

    theory MemoryParameters
    imports RPCMemoryParams
    begin

    (* the memory operations *)
    datatype memOp = read Locs | write Locs Vals

    consts
      (* memory locations and contents *)
      MemLoc         :: "Locs set"
      MemVal         :: "Vals set"

      (* some particular values *)
      OK             :: "Vals"
      BadArg         :: "Vals"
      MemFailure     :: "Vals"
      NotAResult     :: "Vals"  (* defined here for simplicity *)

      (* the initial value stored in each memory cell *)
      InitVal        :: "Vals"

    axioms
      (* basic assumptions about the above constants and predicates *)
      BadArgNoMemVal:    "BadArg ~: MemVal"
      MemFailNoMemVal:   "MemFailure ~: MemVal"
      InitValMemVal:     "InitVal : MemVal"
      NotAResultNotVal:  "NotAResult ~: MemVal"
      NotAResultNotOK:   "NotAResult ~= OK"
      NotAResultNotBA:   "NotAResult ~= BadArg"
      NotAResultNotMF:   "NotAResult ~= MemFailure"

    ML {* use_legacy_bindings (the_context ()) *}

    end

theorem MemValNotAResultE:

      [| x ∈ MemVal; x ≠ NotAResult ==> P |] ==> P