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.TIME.2017.17
URN: urn:nbn:de:0030-drops-79244
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7924/
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Kernberger, Daniel ; Lange, Martin

The Fully Hybrid mu-Calculus

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LIPIcs-TIME-2017-17.pdf (0.5 MB)

Abstract

We consider the hybridisation of the mu-calculus through the addition of nominals, binder and jump. Especially the use of the binder differentiates our approach from earlier hybridisations of the mu-calculus and also results in a more involved formal semantics. We then investigate the model checking problem and obtain ExpTime-completeness for the full logic and the same complexity as the modal mu-calculus for a fixed number of variables. We also show that this logic is invariant under hybrid bisimulation and use this result to show that - contrary to the non-hybrid case - the hybrid extension of the full branching time logic CTL* is not a fragment of the fully hybrid mu-calculus.

BibTeX - Entry

@InProceedings{kernberger_et_al:LIPIcs:2017:7924,
  author =	{Daniel Kernberger and Martin Lange},
  title =	{{The Fully Hybrid mu-Calculus}},
  booktitle =	{24th International Symposium on Temporal Representation and Reasoning (TIME 2017)},
  pages =	{17:1--17:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-052-1},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{90},
  editor =	{Sven Schewe and Thomas Schneider and Jef Wijsen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7924},
  URN =		{urn:nbn:de:0030-drops-79244},
  doi =		{10.4230/LIPIcs.TIME.2017.17},
  annote =	{Keywords: mu-calculus, hybrid logics, model checking, bisimulation invariance}
}

Keywords: mu-calculus, hybrid logics, model checking, bisimulation invariance
Collection: 24th International Symposium on Temporal Representation and Reasoning (TIME 2017)
Issue Date: 2017
Date of publication: 25.09.2017

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