Titlebook: STACS 2007; 24th Annual Symposiu Wolfgang Thomas,Pascal Weil Conference proceedings 2007 Springer-Verlag Berlin Heidelberg 2007 Automat.alg

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Why Almost All ,-Colorable Graphs Are Easys work we consider the uniform distribution over .-colorable graphs with . vertices and exactly . edges, . greater than some sufficiently large constant. We rigorously show that all proper .-colorings of most such graphs are clustered in one cluster, and agree on all but a small, though constant, nu

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On Defining Integers in the Counting Hierarchy and Proving Arithmetic Circuit Lower Boundsic circuits for computing the permanent of . by . matrices having size polynomial in ., then .(.!) is polynomially bounded in log.. Under the same assumption on the permanent, we conclude that the Pochhammer-Wilkinson polynomials . and the Taylor approximations . and . of exp and log, respectively,

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Admissibility in Infinite Games horizon. This concept is known to provide a valuable criterion for selecting among multiple equilibria and to yield sharp predictions in finite games. However, generalisations to the infinite are inherently problematic, due to unbounded dominance chains and the requirement of transfinite induction.

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Pure Stationary Optimal Strategies in Markov Decision Processes function. The controller of the MDP seeks to optimize those performances, using optimal strategies..There exists various ways of measuring performances, i.e. various classes of payoff functions. For example, average performances can be evaluated by a mean-payoff function, peak performances by a lim