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- W2484436671 abstract "A nondeterministic finite automaton is unambiguous if it has at most one accepting computation on every input string. We investigate the complexity of basic regular operations on languages represented by unambiguous finite automata. We get tight upper bounds for intersection mn, left and right quotients $$2^n-1$$, positive closure $${3over 4}cdot 2^n-1$$, star $${3over 4}cdot 2^n$$, shuffle $$2^{mn}-1$$, and concatenation $${3over 4}cdot 2^{m+n}-1$$. Toi¾?prove tightness, we use a binary alphabet for intersection and left and right quotients, a ternary alphabet for star and positive closure, a five-letter alphabet for shuffle, and a seven-letter alphabet for concatenation. Wei¾?also get some partial results for union and complementation." @default.
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- W2484436671 date "2016-01-01" @default.
- W2484436671 modified "2023-09-23" @default.
- W2484436671 title "Operations on Unambiguous Finite Automata" @default.
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- W2484436671 doi "https://doi.org/10.1007/978-3-662-53132-7_20" @default.
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