(*
File: ProcedureInterface.thy
Author: Stephan Merz
Copyright: 1997 University of Munich
Theory Name: ProcedureInterface
Logic Image: TLA
Procedure interface for RPC-Memory components.
*)
ProcedureInterface = TLA + RPCMemoryParams +
types
(* type of channels with argument type 'a and return type 'r.
we model a channel as an array of variables (of type chan)
rather than a single array-valued variable because the
notation gets a little simpler.
*)
('a,'r) chan
('a,'r) channel = (PrIds => ('a,'r) chan) stfun
arities
chan :: (type,type) type
consts
(* data-level functions *)
cbit,rbit :: "('a,'r) chan => bit"
arg :: "('a,'r) chan => 'a"
res :: "('a,'r) chan => 'r"
(* state functions *)
caller :: "('a,'r) channel => (PrIds => (bit * 'a)) stfun"
rtrner :: "('a,'r) channel => (PrIds => (bit * 'r)) stfun"
(* state predicates *)
Calling :: "('a,'r) channel => PrIds => stpred"
(* actions *)
ACall :: "('a,'r) channel => PrIds => 'a stfun => action"
AReturn :: "('a,'r) channel => PrIds => 'r stfun => action"
(* temporal formulas *)
PLegalCaller :: "('a,'r) channel => PrIds => temporal"
LegalCaller :: "('a,'r) channel => temporal"
PLegalReturner :: "('a,'r) channel => PrIds => temporal"
LegalReturner :: "('a,'r) channel => temporal"
(* slice through array-valued state function *)
slice :: "('a => 'b) stfun => 'a => 'b stfun"
syntax
"_slice" :: [lift, 'a] => lift ("(_!_)" [70,70] 70)
"_Call" :: ['a, 'b, lift] => lift ("(Call _ _ _)" [90,90,90] 90)
"_Return" :: ['a, 'b, lift] => lift ("(Return _ _ _)" [90,90,90] 90)
translations
"_slice" == "slice"
"_Call" == "ACall"
"_Return" == "AReturn"
rules
slice_def "(PRED (x!i)) s == x s i"
caller_def "caller ch == %s p. (cbit (ch s p), arg (ch s p))"
rtrner_def "rtrner ch == %s p. (rbit (ch s p), res (ch s p))"
Calling_def "Calling ch p == PRED cbit< ch!p > ~= rbit< ch!p >"
Call_def "(ACT Call ch p v) == ACT ~ $Calling ch p
& (cbit<ch!p>$ ~= $rbit<ch!p>)
& (arg<ch!p>$ = $v)"
Return_def "(ACT Return ch p v) == ACT $Calling ch p
& (rbit<ch!p>$ = $cbit<ch!p>)
& (res<ch!p>$ = $v)"
PLegalCaller_def "PLegalCaller ch p == TEMP
Init(~ Calling ch p)
& [][ ? a. Call ch p a ]_((caller ch)!p)"
LegalCaller_def "LegalCaller ch == TEMP (! p. PLegalCaller ch p)"
PLegalReturner_def "PLegalReturner ch p == TEMP
[][ ? v. Return ch p v ]_((rtrner ch)!p)"
LegalReturner_def "LegalReturner ch == TEMP (! p. PLegalReturner ch p)"
end