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- W1574802309 abstract "We investigate the conversion of nondeterministic finite automata and context-free grammars into Parikh equivalent deterministic finite automata, from a descriptional complexity point of view.We prove that for each nondeterministic automaton with n states there exists a Parikh equivalent deterministic automaton with $e^{O(sqrt{n cdot ln n})}$ states. Furthermore, this cost is tight. In contrast, if all the strings accepted by the given automaton contain at least two different letters, then a Parikh equivalent deterministic automaton with a polynomial number of states can be found.Concerning context-free grammars, we prove that for each grammar in Chomsky normal form with n variables there exists a Parikh equivalent deterministic automaton with $2^{O(n^2)}$ states. Even this bound is tight." @default.
- W1574802309 created "2016-06-24" @default.
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- W1574802309 date "2012-01-01" @default.
- W1574802309 modified "2023-09-24" @default.
- W1574802309 title "Converting Nondeterministic Automata and Context-Free Grammars into Parikh Equivalent Deterministic Automata" @default.
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- W1574802309 doi "https://doi.org/10.1007/978-3-642-31653-1_26" @default.
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