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- W2015733266 abstract "We investigate the complexity of basic decidable cases of the commutation problem for languages: testing the equality XY = YX for two languages X and Y . We show that it varies from co- NEXPTIME complete through PSPACE complete and co-NP complete to deterministic polynomial time, when Y is an explicitly given finite language and X is given by a CF grammar generating a finite language, a nondeterministic finite automaton (or a regular expression), an acyclic nondeterministic finite automaton or an explicitly given finite language, respectively. Interestingly in most cases the complexity status does not change if instead of explicitly given finite Y we consider general Y of the same type as X . For deterministic finite automata the problem remains open, due to the asymmetry of the catenation." @default.
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- W2015733266 date "2005-06-01" @default.
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- W2015733266 title "On the complexity of decidable cases of the commutation problem of languages" @default.
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- W2015733266 doi "https://doi.org/10.1016/j.tcs.2004.03.073" @default.
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