BLUMENSATH, Achim and Felix WOLF. Bisimulation Invariant Monadic-Second Order Logic in the Finite. Online. In 45th International Colloquium on Automata, Languages, and Programming, ICALP 2018, July 9-13, 2018, Prague, Czech Republic. Dagstuhl: Schloss Dagstuhl, 2018, p. 1-13. ISBN 978-3-95977-076-7. Available from: https://dx.doi.org/10.4230/LIPIcs.ICALP.2018.117.
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Basic information
Original name Bisimulation Invariant Monadic-Second Order Logic in the Finite
Authors BLUMENSATH, Achim (276 Germany, guarantor, belonging to the institution) and Felix WOLF (276 Germany).
Edition Dagstuhl, 45th International Colloquium on Automata, Languages, and Programming, ICALP 2018, July 9-13, 2018, Prague, Czech Republic, p. 1-13, 13 pp. 2018.
Publisher Schloss Dagstuhl
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
Publication form electronic version available online
RIV identification code RIV/00216224:14330/18:00101061
Organization unit Faculty of Informatics
ISBN 978-3-95977-076-7
ISSN 1868-8969
Doi http://dx.doi.org/10.4230/LIPIcs.ICALP.2018.117
Keywords in English bisimulation; monadic second-order logic; composition method
Tags core_A, firank_A, formela-aut
Changed by Changed by: RNDr. Pavel Šmerk, Ph.D., učo 3880. Changed: 30/4/2019 09:59.
Abstract
We consider bisimulation-invariant monadic second-order logic over various classes of finite transition systems. We present several combinatorial characterisations of when the expressive power of this fragment coincides with that of the modal mu-calculus. Using these characterisations we prove for some simple classes of transition systems that this is indeed the case. In particular, we show that, over the class of all finite transition systems with Cantor-Bendixson rank at most k, bisimulation-invariant MSO coincides with L_mu.
Links
GA17-01035S, research and development projectName: Algebraická teorie jazyků pro nekonečné stromy
Investor: Czech Science Foundation
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