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.CONCUR.2016.34
URN: urn:nbn:de:0030-drops-61724
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Hausmann, Daniel ; Schröder, Lutz ; Egger, Christoph

Global Caching for the Alternation-free µ-Calculus

LIPIcs-CONCUR-2016-34.pdf (0.6 MB)


We present a sound, complete, and optimal single-pass tableau algorithm for the alternation-free mu-calculus. The algorithm supports global caching with intermediate propagation and runs in time 2^O(n). In game-theoretic terms, our algorithm integrates the steps for constructing and solving the Büchi game arising from the input tableau into a single procedure; this is done on-the-fly, i.e. may terminate before the game has been fully constructed. This suggests a slogan to the effect that global caching = game solving on-the-fly. A prototypical implementation shows promising initial results.

BibTeX - Entry

  author =	{Daniel Hausmann and Lutz Schr{\"o}der and Christoph Egger},
  title =	{{Global Caching for the Alternation-free {$mu$}-Calculus}},
  booktitle =	{27th International Conference on Concurrency Theory (CONCUR 2016)},
  pages =	{34:1--34:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-017-0},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{59},
  editor =	{Jos{\'e}e Desharnais and Radha Jagadeesan},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-61724},
  doi =		{10.4230/LIPIcs.CONCUR.2016.34},
  annote =	{Keywords: modal logic, fixpoint logic, satisfiability, global caching, coalgebraic logic}

Keywords: modal logic, fixpoint logic, satisfiability, global caching, coalgebraic logic
Collection: 27th International Conference on Concurrency Theory (CONCUR 2016)
Issue Date: 2016
Date of publication: 24.08.2016

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