The complexity of mean payoff games on graphs
Theoretical Computer Science
Infinite games on finitely coloured graphs with applications to automata on infinite trees
Theoretical Computer Science
Parametric temporal logic for “model measuring”
ACM Transactions on Computational Logic (TOCL)
Efficient minimization of deterministic weak &ohgr;-automata
Information Processing Letters
How much memory is needed to win infinite games?
LICS '97 Proceedings of the 12th Annual IEEE Symposium on Logic in Computer Science
Fair Simulation Relations, Parity Games, and State Space Reduction for Büchi Automata
SIAM Journal on Computing
Symbolic synthesis of finite-state controllers for request-response specifications
CIAA'03 Proceedings of the 8th international conference on Implementation and application of automata
Memory reduction for strategies in infinite games
CIAA'07 Proceedings of the 12th international conference on Implementation and application of automata
Simulation relations for alternating parity automata and parity games
DLT'06 Proceedings of the 10th international conference on Developments in Language Theory
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We consider infinite two-player games played on finite graphs where the winning condition (say for the first player) is given by a regular omega-language. We address issues of optimization in the construction of winning strategies in such games. Two criteria for optimization are discussed: memory size of finite automata that execute winning strategies, and - for games with liveness requests as winning conditions - "waiting times" for the satisfaction of requests. (For the first aspect we report on work of Holtmann and Löding, for the second on work of Horn, Wallmeier, and the author.)