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Linear Temporal Logic and Buchi Automata

Yih-Kuen Tsay

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Abstract

We have seen how automata, in particular Buchi automata, may be used to describe the behaviors of a concurrent system. Buchi automata “localize” temporal dependency between occurrences of events (represented by propositions) to relations between states and tend to be of lower level. We will study an alternative formalism, namely linear temporal logic. Temporal logic formulae describe temporal dependency without explicit references to time points and are in general more abstract.

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What this paper is about

We have seen how automata, in particular Buchi automata, may be used to describe the behaviors of a concurrent system. Buchi automata “localize” temporal dependency between occurrences of events (represented by propositions) to relations between states and tend to be of lower level. We will study an alternative formalism, namely linear temporal logic. Temporal logic formulae describe temporal dependency without explicit references to time points and are in general more abstract.

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Available abstract

We have seen how automata, in particular Buchi automata, may be used to describe the behaviors of a concurrent system. Buchi automata “localize” temporal dependency between occurrences of events (represented by propositions) to relations between states and tend to be of lower level. We will study an alternative formalism, namely linear temporal logic. Temporal logic formulae describe temporal dependency without explicit references to time points and are in general more abstract.

Key concepts: Linear temporal logic, Temporal logic, Büchi automaton, Interval temporal logic, Automaton, Formalism (music), Computation tree logic, Temporal logic of actions

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