Publication details

State Complexity of Projected Languages

Authors

JIRÁSKOVÁ Galina MASOPUST Tomáš

Year of publication 2011
Type Article in Proceedings
Conference DCFS 2011, LNCS 6808
MU Faculty or unit

Faculty of Informatics

Citation
Field Informatics
Keywords Descriptional complexity, state complexity, projection.
Description This paper discusses the state complexity of projected regular languages represented by incomplete deterministic finite automata. It is shown that the known upper bound is reachable only by automata with one unobservable transition, that is, a transition labeled with a symbol removed by the projection. The present paper improves this upper bound by considering the structure of the automaton. It also proves that the new bounds are tight, considers the case of finite languages, and presents several open problems.

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