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