Titlebook: Automata, Languages, and Programming; 41st International C Javier Esparza,Pierre Fraigniaud,Elias Koutsoupias Conference proceedings 2014 S

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Handling Infinitely Branching WSTS) are naturally infinitely branching. Here we develop tools to handle infinitely branching WSTS by exploiting the crucial property that in the (ideal) completion of a well-quasi-ordered set, downward-closed sets are . unions of ideals. Then, using these tools, we derive decidability results and we d

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On the Decidability of MSO+U on Infinite Treesitrarily large sets. We conjecture that the MSO+U theory of the complete binary tree is undecidable. We prove a weaker statement: there is no algorithm which decides this theory and has a correctness proof in .. This is because the theory is undecidable, under a set-theoretic assumption consistent w

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On the Complexity of Temporal-Logic Path Checkinghe complexity of this task was recently shown to be in . [9]. In this paper, we present an . algorithm for ., a quantitative (or metric) extension of ., and give an . algorithm for ., the unary fragment of .. At the time of writing, . is the most expressive logic with an . path-checking algorithm, a

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The Complexity of Ergodic Mean-payoff Games all states are visited infinitely often with probability 1. The algorithmic study of ergodic games was initiated in a seminal work of Hoffman and Karp in 1966, but all basic complexity questions have remained unresolved. Our main results for ergodic games are as follows: We establish (1) an optimal