src/HOL/UNITY/Channel.thy
author paulson
Fri, 07 Jan 2000 10:55:35 +0100
changeset 8110 f7651ede12b7
parent 6536 281d44905cab
child 10834 a7897aebbffc
permissions -rw-r--r--
moved some proofs from UNITY/ELT to UNITY/Project

(*  Title:      HOL/UNITY/Channel
    ID:         $Id$
    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
    Copyright   1998  University of Cambridge

Unordered Channel

From Misra, "A Logic for Concurrent Programming" (1994), section 13.3
*)

Channel = WFair + Option + 

types state = nat set

consts
  F :: state program

constdefs
  minSet :: nat set => nat option
    "minSet A == if A={} then None else Some (LEAST x. x:A)"

rules

  UC1  "F : (minSet -`` {Some x}) co (minSet -`` (Some``atLeast x))"

  (*  UC1  "F : {s. minSet s = x} co {s. x <= minSet s}"  *)

  UC2  "F : (minSet -`` {Some x}) leadsTo {s. x ~: s}"

end