Tree automata, Mu-Calculus and determinacy
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
Reasoning about infinite computations
Information and Computation
An automata-theoretic approach to branching-time model checking
Journal of the ACM (JACM)
Automata on Infinite Objects and Church's Problem
Automata on Infinite Objects and Church's Problem
Alternating-time temporal logic
Journal of the ACM (JACM)
MFCS '00 Proceedings of the 25th International Symposium on Mathematical Foundations of Computer Science
Small Progress Measures for Solving Parity Games
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CAV '98 Proceedings of the 10th International Conference on Computer Aided Verification
A Decision Procedure for the Propositional µ-Calculus
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Satisfiability in Alternating-time Temporal Logic
LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
A game-based verification of non-repudiation and fair exchange protocols
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SFCS '88 Proceedings of the 29th Annual Symposium on Foundations of Computer Science
ATL* Satisfiability Is 2EXPTIME-Complete
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
Tighter Bounds for the Determinisation of Büchi Automata
FOSSACS '09 Proceedings of the 12th International Conference on Foundations of Software Science and Computational Structures: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009
A generic constructive solution for concurrent games with expressive constraints on strategies
ATVA'07 Proceedings of the 5th international conference on Automated technology for verification and analysis
Distributed synthesis for alternating-time logics
ATVA'07 Proceedings of the 5th international conference on Automated technology for verification and analysis
Solving parity games in big steps
FSTTCS'07 Proceedings of the 27th international conference on Foundations of software technology and theoretical computer science
CSL'10/EACSL'10 Proceedings of the 24th international conference/19th annual conference on Computer science logic
Relentful strategic reasoning in alternating-time temporal logic
LPAR'10 Proceedings of the 16th international conference on Logic for programming, artificial intelligence, and reasoning
Alternating interval based temporal logics
ICFEM'10 Proceedings of the 12th international conference on Formal engineering methods and software engineering
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This paper presents a decision procedure for the alternating-time μ-calculus. The algorithm is based on a representation of alternating-time formulas as automata over concurrent game structures. We show that language emptiness of these automata can be checked in exponential time. The complexity of our construction meets the known lower bounds for deciding the satisfiability of the classic μ-calculus. It follows that the satisfiability problem is EXPTIME-complete for the alternating-time μ-calculus.