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Syntactic Complexities of Some Classes of Star-Free Languages

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BrzozowskiLi_SynStarFree_r-s.pdf (175.82 KB)

Date

2012

Authors

Brzozowski, Janusz
Li, Baiyu

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Publisher

Springer

Abstract

The syntactic complexity of a regular language is the cardinality of its syntactic semigroup. The syntactic complexity of a subclass of regular languages is the maximal syntactic complexity of languages in that subclass, taken as a function of the state complexity n of these languages. We study the syntactic complexity of three subclasses of star-free languages. We find tight upper bounds for languages accepted by monotonic, partially monotonic and “nearly monotonic” automata; all three of these classes are star-free. We conjecture that the bound for nearly monotonic languages is also a tight upper bound for star-free languages.

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The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-31623-4_9

Keywords

finite automaton, monotonic, nearly monotonic, partially monotonic, star-free language, syntactic complexity, syntactic semigroup

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http://dx.doi.org/10.1007/978-3-642-31623-4_9
 http://hdl.handle.net/10012/12508

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Waterloo Research
Computer Science