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arXiv · 1503.05879

Regular realizability problems and regular languages

Alexander A. Rubtsov
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Abstract

We investigate regular realizability (RR) problems, which are the problems of verifying whether intersection of a regular language -- the input of the problem -- and fixed language called filter is non-empty. We consider two kind of problems depending on representation of regular language. If a regular language on input is represented by a DFA, then we obtain (deterministic) regular realizability problem and we show that in this case the complexity of regular realizability problem for an arbitrary regular filter is either L-complete or NL-complete. We also show that in case of representation regular language on input by NFA the problem is always NL-complete.

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Alexander A. Rubtsov. 2015-03-19. Regular realizability problems and regular languages. https://arxiv.org/abs/1503.05879

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