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DOI: 10.4230/LIPIcs.TIME.2017.17
URN: urn:nbn:de:0030-drops-79244
URL: https://drops.dagstuhl.de/opus/volltexte/2017/7924/
Kernberger, Daniel ; Lange, Martin
The Fully Hybrid mu-Calculus
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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 | |
| Seminar: | 24th International Symposium on Temporal Representation and Reasoning (TIME 2017) | |
| Issue date: | 2017 | |
| Date of publication: | 25.09.2017 |
