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Titlebook: Computer Science - Theory and Applications; Third International Edward A. Hirsch,Alexander A. Razborov,Anatol Slis Conference proceedings

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Logic and Rational Languages of Words Indexed by Linear Orderingsis true for the class of languages indexed by countable scattered linear orderings, but false in the general case. As a corollary we prove that the inclusion problem for rational languages of words indexed by countable linear orderings is decidable.
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Complexity of the Bollobás-Riordan Polynomialgraphs that satisfies certain contraction-deletion identities. Jaeger, Vertigan, and Welsh showed that the classical Tutte polynomial is #.-hard to evaluate almost everywhere by establishing reductions along curves and lines..We establish a similar result for the coloured Tutte polynomial on integra
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A Complete Characterization of Nash-Solvability of Bimatrix Games in Terms of the Exclusion of Certaquilibrium (NE) even when every 2 ×2 subgame of it has one. Nevertheless, Shapley’s claim can be generalized for bimatrix games in many ways as follows. We partition all 2 ×2 bimatrix games into fifteen classes . = {.., ..., ..} depending on the preference pre-orders of the two players. A subset . ⊆
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A Semantic Proof of Polytime Soundness of Light Affine Logiconstruction of the model. This gives a new proof of polytime-soundness of . which is considerably simpler than the standard proof based on proof nets and also is entirely semantical in nature. The model construction uses a new instance of a resource monoid; a general method for interpreting variatio
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A Complete Characterization of Nash-Solvability of Bimatrix Games in Terms of the Exclusion of Certa . is called a NE-theorem if a bimatrix game has a NE whenever it contains no subgame from .. We suggest a general method for getting all minimal (that is, strongest) NE-theorems based on the procedure of joint generation of transversal hypergraphs given by a special oracle. By this method we obtain all (six) minimal NE-theorems.
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