src/HOL/UNITY/Union.thy
author paulson
Thu Dec 03 10:45:06 1998 +0100 (1998-12-03)
changeset 6012 1894bfc4aee9
parent 5804 8e0a4c4fd67b
child 6295 351b3c2b0d83
permissions -rw-r--r--
Addition of the States component; parts of Comp not working
     1 (*  Title:      HOL/UNITY/Union.thy
     2     ID:         $Id$
     3     Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
     4     Copyright   1998  University of Cambridge
     5 
     6 Unions of programs
     7 
     8 Partly from Misra's Chapter 5: Asynchronous Compositions of Programs
     9 *)
    10 
    11 Union = SubstAx + FP +
    12 
    13 constdefs
    14   eqStates :: ['a set, 'a => 'b program] => bool
    15     "eqStates I F == EX St. ALL i:I. States (F i) = St"
    16 
    17   JOIN  :: ['a set, 'a => 'b program] => 'b program
    18     "JOIN I F == mk_program (INT i:I. States (F i),
    19 			     INT i:I. Init (F i),
    20 			     UN i:I. Acts (F i))"
    21 
    22   Join :: ['a program, 'a program] => 'a program      (infixl 65)
    23     "F Join G == mk_program (States F Int States G,
    24 			     Init F Int Init G,
    25 			     Acts F Un Acts G)"
    26 
    27   SKIP :: 'a set => 'a program
    28     "SKIP states == mk_program (states, states, {})"
    29 
    30   Diff :: "['a program, ('a * 'a)set set] => 'a program"
    31     "Diff F acts == mk_program (States F, Init F, Acts F - acts)"
    32 
    33   (*The set of systems that regard "v" as local to F*)
    34   localTo :: ['a => 'b, 'a program] => 'a program set  (infixl 80)
    35     "v localTo F == {G. ALL z. Diff G (Acts F) : stable {s. v s = z}}"
    36 
    37   (*Two programs with disjoint actions, except for identity actions *)
    38   Disjoint :: ['a program, 'a program] => bool
    39     "Disjoint F G == States F = States G &
    40                      Acts F Int Acts G <= {diag (States G)}"
    41 
    42 syntax
    43   "@JOIN"      :: [pttrn, 'a set, 'b set] => 'b set  ("(3JN _:_./ _)" 10)
    44 
    45 translations
    46   "JN x:A. B"   == "JOIN A (%x. B)"
    47 
    48 end