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1971•IEEE Transactions on ComputersRequires access

A Two-Way Automaton with Fewer States than Any Equivalent One-Way Automaton

Bruce H. Barnes

Open publisher page 10 citations

Abstract

This correspondence presents an example of a two-way automaton which has significantly fewer states than any one-way automaton accepting the same set of tapes. Thus, in this particular case, memory space can be saved by using a two-way automaton. This savings in space, however, is accompanied by an increase in recognition time.

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What this paper is about

This correspondence presents an example of a two-way automaton which has significantly fewer states than any one-way automaton accepting the same set of tapes. Thus, in this particular case, memory space can be saved by using a two-way automaton. This savings in space, however, is accompanied by an increase in recognition time.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This correspondence presents an example of a two-way automaton which has significantly fewer states than any one-way automaton accepting the same set of tapes. Thus, in this particular case, memory space can be saved by using a two-way automaton. This savings in space, however, is accompanied by an increase in recognition time.

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

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