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http://dx.doi.org/10.18419/opus-2647
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Diekert, Volker | de |
dc.contributor.author | Kufleitner, Manfred | de |
dc.date.accessioned | 2009-07-17 | de |
dc.date.accessioned | 2016-03-31T07:58:50Z | - |
dc.date.available | 2009-07-17 | de |
dc.date.available | 2016-03-31T07:58:50Z | - |
dc.date.issued | 2009 | de |
dc.identifier.other | 314598871 | de |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-44187 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/2664 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-2647 | - |
dc.description.abstract | We give topological and algebraic characterizations as well as language theoretic descriptions of the following subclasses of first-order logic for omega-languages: Sigma2, FO2, the intersection of FO2 and Sigma2, and Delta2 (and by duality Pi2 and the intersection of FO2 and Pi2). These descriptions extend the respective results for finite words. In particular, we relate the above fragments to language classes of certain (unambiguous) polynomials. An immediate consequence is the decidability of the membership problem of these classes, but this was shown before by Wilke and Bojanczyk and is therefore not our main focus. The paper is about the interplay of algebraic, topological, and language theoretic properties. | en |
dc.language.iso | en | de |
dc.relation.ispartofseries | Technischer Bericht / Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik;2009,4 | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.subject.classification | Mathematische Logik , Halbgruppe , Automatentheorie , Reguläre Sprache | de |
dc.subject.ddc | 004 | de |
dc.subject.other | automata theory , semigroups , regular languages | en |
dc.title | Fragments of first-order logic over infinite words | en |
dc.type | workingPaper | de |
dc.date.updated | 2013-07-16 | de |
ubs.fakultaet | Fakultät Informatik, Elektrotechnik und Informationstechnik | de |
ubs.institut | Institut für Formale Methoden der Informatik | de |
ubs.opusid | 4418 | de |
ubs.publikation.typ | Arbeitspapier | de |
ubs.schriftenreihe.name | Technischer Bericht / Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik | de |
Enthalten in den Sammlungen: | 05 Fakultät Informatik, Elektrotechnik und Informationstechnik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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TR_2009_04.pdf | 277,16 kB | Adobe PDF | Öffnen/Anzeigen |
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