Informace o publikaci

On Properties and State Complexity of Deterministic State-Partition Automata

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JIRÁSKOVÁ Galina MASOPUST Tomáš

Rok publikování 2012
Druh Článek ve sborníku
Konference IFIP Theoretical Computer Science 2012
Citace
Doi http://dx.doi.org/10.1007/978-3-642-33475-7_12
Popis A deterministic automaton accepting a regular language L is a state-partition automaton with respect to a projection P if the state set of the deterministic automaton accepting the projected language P(L), obtained by the standard subset construction, forms a partition of the state set of the automaton. In this paper, we study fundamental properties of state-partition automata. We provide a construction of the minimal state-partition automaton for a regular language and a projection, discuss closure properties of state-partition automata under the standard constructions of deterministic automata for regular operations, and show that almost all of them fail to preserve the property of being a state-partition automaton. Finally, we define the notion of a state-partition complexity, and prove the tight bound on the state-partition complexity of regular languages represented by incomplete deterministic automata.

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