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Construction of a Deterministic ω-Automaton Using Derivatives

Published online by Cambridge University Press:  15 August 2002

Roman R. Redziejowski
Roman R. Redziejowski*
Affiliation:
Ericsson Hewlett-Packard Telecommunications AB, Västberga Allé 9, S-12625 Stockholm, Sweden; roman.redziejowski@ehpt.com
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Abstract

A deterministic automaton recognizing a given ω-regular language is constructed from an ω-regular expression with the help of derivatives. The construction is related to Safra's algorithm, in about the same way as the classical derivative method is related to the subset construction.

Keywords

Infinite wordomega-languageregular languageregular expressionrational languagerational expressionderivativedeterministic omega-automatonMuller automaton.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 2 , March 1999 , pp. 133 - 158
Copyright
© EDP Sciences, 1999

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