# Construction of a Deterministic ω-Automaton Using Derivatives

RAIRO - Theoretical Informatics and Applications (2010)

- Volume: 33, Issue: 2, page 133-158
- ISSN: 0988-3754

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topRedziejowski, Roman R.. "Construction of a Deterministic ω-Automaton Using Derivatives." RAIRO - Theoretical Informatics and Applications 33.2 (2010): 133-158. <http://eudml.org/doc/222031>.

@article{Redziejowski2010,

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.
},

author = {Redziejowski, Roman R.},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Infinite word; omega-language;
regular language; regular expression;
rational language; rational expression;
derivative;
deterministic omega-automaton; Muller automaton.; -regular language; Safra's algorithm},

language = {eng},

month = {3},

number = {2},

pages = {133-158},

publisher = {EDP Sciences},

title = {Construction of a Deterministic ω-Automaton Using Derivatives},

url = {http://eudml.org/doc/222031},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Redziejowski, Roman R.

TI - Construction of a Deterministic ω-Automaton Using Derivatives

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 2

SP - 133

EP - 158

AB -
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.

LA - eng

KW - Infinite word; omega-language;
regular language; regular expression;
rational language; rational expression;
derivative;
deterministic omega-automaton; Muller automaton.; -regular language; Safra's algorithm

UR - http://eudml.org/doc/222031

ER -

## References

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- L. Staiger, Finite-state ω-languages. J. Comput. System Sci.27 (1983) 434-448. Zbl0541.68052
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