Fair Constraint Automata Sample Clauses

Fair Constraint Automata. As we explained earlier, the timed data streams based semantics of constraint automata is more concrete than necessary. On the other hand, languages of streams of records that we have used as the semantics of BARs are more understandable and a more suitable semantics for connectors. In this section, we introduce a version of constraint automaton, called fair constraint automaton, whose syntax is the same as constraint automaton except that now it has final (accepting) states, but its semantics is based on the languages of streams of records. As for the case of Bu¨ch automata, by adding sets of final states to constraint automata, un- conditional fairness constraints over sets of states/transitions become expressible. Definition 4.14 Let D be a fixed finite set of data. A fair constraint automaton (abbreviated as FCA) over a data set D is of the form C = ⟨Q, N, −→, Q0, F⟩ where: • Q is a finite set of states, • N is a finite set of names, • −→⊆ Q × 2N × DC × Q is a set of transitions, where, DC is the set of all data constraints over names set N and data set D as defined in Definition 3.5, • Q0 ⊆ Q is the set of initial states, • F ⊆ Q is the set of accepting (final) states. of the transition−. → We write p N,g q instead of ⟨p, N, g, q⟩ ∈−→ and call N the name set and g the guard → D ⟨ N −→ ⟩ | | ≤ A fair constraint automaton C = Q, , , Q0, F is deterministic if Q0 1 and for every state q , set of port names N , and data assignment δ:N , there is at most one transition q q ′ with δ |= g . N,g Now, we−d→efine the semantics of FCAs using the languages of streams of records. D ∈
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