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kth-Order Finite Automaton

C. L. Liu

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Abstract

A kth-order finite automaton is an automaton whose next state is a function of its most recent k states as well as its present input. A procedure to test whether a given ordinary automaton is equivalent to some kth-order automaton is suggested.

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What this paper is about

A kth-order finite automaton is an automaton whose next state is a function of its most recent k states as well as its present input. A procedure to test whether a given ordinary automaton is equivalent to some kth-order automaton is suggested.

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OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A kth-order finite automaton is an automaton whose next state is a function of its most recent k states as well as its present input. A procedure to test whether a given ordinary automaton is equivalent to some kth-order automaton is suggested.

Key concepts: Two-way deterministic finite automaton, Deterministic automaton, Büchi automaton, Timed automaton, Continuous automaton, Probabilistic automaton, Pushdown automaton, Nondeterministic finite automaton

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