src/HOL/UNITY/Union.thy
changeset 6295 351b3c2b0d83
parent 6012 1894bfc4aee9
child 7359 98a2afab3f86
equal deleted inserted replaced
6294:bc084e1b4d8d 6295:351b3c2b0d83
     9 *)
     9 *)
    10 
    10 
    11 Union = SubstAx + FP +
    11 Union = SubstAx + FP +
    12 
    12 
    13 constdefs
    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
    14   JOIN  :: ['a set, 'a => 'b program] => 'b program
    18     "JOIN I F == mk_program (INT i:I. States (F i),
    15     "JOIN I F == mk_program (INT i:I. Init (F i), UN i:I. Acts (F i))"
    19 			     INT i:I. Init (F i),
       
    20 			     UN i:I. Acts (F i))"
       
    21 
    16 
    22   Join :: ['a program, 'a program] => 'a program      (infixl 65)
    17   Join :: ['a program, 'a program] => 'a program      (infixl 65)
    23     "F Join G == mk_program (States F Int States G,
    18     "F Join G == mk_program (Init F Int Init G, Acts F Un Acts G)"
    24 			     Init F Int Init G,
       
    25 			     Acts F Un Acts G)"
       
    26 
    19 
    27   SKIP :: 'a set => 'a program
    20   SKIP :: 'a program
    28     "SKIP states == mk_program (states, states, {})"
    21     "SKIP == mk_program (UNIV, {})"
    29 
    22 
    30   Diff :: "['a program, ('a * 'a)set set] => 'a program"
    23   Diff :: "['a program, ('a * 'a)set set] => 'a program"
    31     "Diff F acts == mk_program (States F, Init F, Acts F - acts)"
    24     "Diff F acts == mk_program (Init F, Acts F - acts)"
    32 
    25 
    33   (*The set of systems that regard "v" as local to F*)
    26   (*The set of systems that regard "v" as local to F*)
    34   localTo :: ['a => 'b, 'a program] => 'a program set  (infixl 80)
    27   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}}"
    28     "v localTo F == {G. ALL z. Diff G (Acts F) : stable {s. v s = z}}"
    36 
    29 
    37   (*Two programs with disjoint actions, except for identity actions *)
    30   (*Two programs with disjoint actions, except for identity actions *)
    38   Disjoint :: ['a program, 'a program] => bool
    31   Disjoint :: ['a program, 'a program] => bool
    39     "Disjoint F G == States F = States G &
    32     "Disjoint F G == Acts F Int Acts G <= {Id}"
    40                      Acts F Int Acts G <= {diag (States G)}"
       
    41 
    33 
    42 syntax
    34 syntax
    43   "@JOIN"      :: [pttrn, 'a set, 'b set] => 'b set  ("(3JN _:_./ _)" 10)
    35   "@JOIN"      :: [pttrn, 'a set, 'b set] => 'b set  ("(3JN _:_./ _)" 10)
    44 
    36 
    45 translations
    37 translations