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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 1, Pages 34–58 (Mi ivm6551)  
This article is cited in 4 scientific papers (total in 4 papers)

Weighted automata and weighted logic on infinite words

M. Drostea, G. Rahonisb

a Institute for Computer Science, Leipzig University, Leipzig, Germany
b Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece
Full-text PDF (328 kB) Citations (4)
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Abstract: We introduce weighted automata over infinite words with Muller acceptance condition and we show that their behaviors coincide with the semantics of weighted restricted MSO-sentences. Furthermore, we establish an equivalence property of weighted Muller and weighted Büchi automata over certain semirings.
Keywords: weighted logic, weighted Muller automata, infinitary formal power series, weighted Büchi automata.
Received: 20.03.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 1, Pages 26–45
DOI: https://doi.org/10.3103/S1066369X10010044
Bibliographic databases:
UDC: 519.766+519.713
Language: Russian
Citation: M. Droste, G. Rahonis, “Weighted automata and weighted logic on infinite words”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 1, 34–58; Russian Math. (Iz. VUZ), 54:1 (2010), 26–45
Citation in format AMSBIB
\Bibitem{DroRah10}
\by M.~Droste, G.~Rahonis
\paper Weighted automata and weighted logic on infinite words
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 1
\pages 34--58
\mathnet{http://mi.mathnet.ru/ivm6551}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664484}
\zmath{https://zbmath.org/?q=an:1184.68314}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 1
\pages 26--45
\crossref{https://doi.org/10.3103/S1066369X10010044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78349273844}
Linking options:
  • https://www.mathnet.ru/eng/ivm6551
  • https://www.mathnet.ru/eng/ivm/y2010/i1/p34
    • This publication is cited in the following 4 articles:
    1. Kappe T., Lion B., Arbab F., Talcott C., “Soft Component Automata: Composition, Compilation, Logic, and Verification”, Sci. Comput. Program., 183 (2019), UNSP 102300  crossref  mathscinet  isi  scopus
    2. Mandrali E., Rahonis G., “Weighted First-Order Logics Over Semirings”, Acta Cybern., 22:2 (2015), 435–483  crossref  isi
    3. Droste M., Meinecke I., “Weighted Automata and Weighted Mso Logics for Average and Long-Time Behaviors”, Inf. Comput., 220 (2012), 44–59  crossref  mathscinet  zmath  isi  scopus
    4. Droste M., Meinecke I., “Describing Average- and Longtime-Behavior by Weighted MSO Logics”, Mathematical Foundations of Computer Science, Lecture Notes in Computer Science, 6281, 2010, 537–548  crossref  mathscinet  zmath  adsnasa  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :130
    References:66
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