License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CSL.2020.26
URN: urn:nbn:de:0030-drops-116698
URL: https://drops.dagstuhl.de/opus/volltexte/2020/11669/
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Kupke, Clemens ; Rot, Jurriaan

Expressive Logics for Coinductive Predicates

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LIPIcs-CSL-2020-26.pdf (0.5 MB)


Abstract

The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only if they satisfy the same formulas in a certain modal logic. In this paper we study this type of result in a general context, moving from transition systems to coalgebras and from bisimilarity to coinductive predicates. We formulate when a logic fully characterises a coinductive predicate on coalgebras, by providing suitable notions of adequacy and expressivity, and give sufficient conditions on the semantics. The approach is illustrated with logics characterising similarity, divergence and a behavioural metric on automata.

BibTeX - Entry

@InProceedings{kupke_et_al:LIPIcs:2020:11669,
  author =	{Clemens Kupke and Jurriaan Rot},
  title =	{{Expressive Logics for Coinductive Predicates}},
  booktitle =	{28th EACSL Annual Conference on Computer Science Logic (CSL 2020)},
  pages =	{26:1--26:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-132-0},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{152},
  editor =	{Maribel Fern{\'a}ndez and Anca Muscholl},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/11669},
  URN =		{urn:nbn:de:0030-drops-116698},
  doi =		{10.4230/LIPIcs.CSL.2020.26},
  annote =	{Keywords: Coalgebra, Fibration, Modal Logic}
}

Keywords: Coalgebra, Fibration, Modal Logic
Collection: 28th EACSL Annual Conference on Computer Science Logic (CSL 2020)
Issue Date: 2020
Date of publication: 06.01.2020


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