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DOI: 10.4230/LIPIcs.FSTTCS.2009.2308
URN: urn:nbn:de:0030-drops-23081
URL: https://drops.dagstuhl.de/opus/volltexte/2009/2308/
Bojanczyk, Mikolaj ; Torunczyk, Szymon
Deterministic Automata and Extensions of Weak MSO
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Abstract
We introduce a new class of automata on infinite words, called min-automata. We prove that min-automata have the same expressive power as weak monadic second-order logic (weak MSO) extended with a new quantifier, the recurrence quantifier. These results are dual to a framework presented in \cite{max-automata}, where max-automata were proved equivalent to weak MSO extended with an unbounding quantifier. We also present a general framework, which tries to explain which types of automata on infinite words correspond to extensions of weak MSO. As another example for the usefulness framework, apart from min- and max-automata, we define an extension of weak MSO with a quantifier that talks about ultimately periodic sets.
BibTeX - Entry
@InProceedings{bojanczyk_et_al:LIPIcs:2009:2308,
author = {Mikolaj Bojanczyk and Szymon Torunczyk},
title = {{Deterministic Automata and Extensions of Weak MSO}},
booktitle = {IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
pages = {73--84},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-13-2},
ISSN = {1868-8969},
year = {2009},
volume = {4},
editor = {Ravi Kannan and K. Narayan Kumar},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2009/2308},
URN = {urn:nbn:de:0030-drops-23081},
doi = {10.4230/LIPIcs.FSTTCS.2009.2308},
annote = {Keywords: Deterministic automata, Weak MSO, min-automata, max-automata, BS-automata}
}
| Keywords: | Deterministic automata, Weak MSO, min-automata, max-automata, BS-automata | |
| Seminar: | IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science | |
| Issue date: | 2009 | |
| Date of publication: | 14.12.2009 |
