Explicit Muller Games are PTIME

Author Florian Horn



PDF
Thumbnail PDF

File

LIPIcs.FSTTCS.2008.1756.pdf
  • Filesize: 407 kB
  • 9 pages

Document Identifiers

Author Details

Florian Horn

Cite AsGet BibTex

Florian Horn. Explicit Muller Games are PTIME. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 2, pp. 235-243, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)
https://doi.org/10.4230/LIPIcs.FSTTCS.2008.1756

Abstract

Regular games provide a very useful model for the synthesis of controllers in reactive systems. The complexity of these games depends on the representation of the winning condition: if it is represented through a win-set, a coloured condition, a Zielonka-DAG or Emerson-Lei formulae, the winner problem is \pspace-complete; if the winning condition is represented as a Zielonka tree, the winner problem belongs to \np and \conp. In this paper, we show that explicit Muller games can be solved in polynomial time, and provide an effective algorithm to compute the winning regions.
Keywords
  • Games
  • authomata
  • model checking

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail