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Titlebook: Logical Foundations of Computer Science; International Sympos Sergei Artemov,Anil Nerode Conference proceedings 2009 Springer-Verlag Berlin

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The Logic of Proofs as a Foundation for Certifying Mobile Computation,ate component. Dubbed the ., our language caters for both code and certificate development in a unified theory. In the same way that mobile code is constructed out of code components and extant type systems track local resource usage to ensure the mobile nature of these components, our system . ensu
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A Relational Model of a Parallel and Non-deterministic ,-Calculus,resent paper, we study the non-deterministic features of this model. Unlike most traditional approaches, our way of interpreting non-determinism does not require any additional powerdomain construction. We show that our model provides a straightforward semantics of . (. convergence) by means of . of
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Taming Modal Impredicativity: Superlazy Reduction,redicativity causing cut-elimination to be problematic from a complexity point of view. Modal impredicativity occurs when, during reduction, the conclusion of a residual of a box . interacts with a node that belongs to the proof net . another residual of .. Technically speaking, . is a new notion of
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Games on Strings with a Limited Order Relation,sufficient conditions for Spoiler/Duplicator to win games played on finite structures with a limited order relation, that lies in between the successor relation and the usual (linear) order relation, and a finite number of unary predicates. On the basis of such conditions, we outline a polynomial (i
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Complete Axiomatizations of ,, ,,, and ,,, on Finite Trees,node-labeled sibling-ordered trees. We show by a uniform argument, that our axiomatizations are complete, i.e., in each of our logics, every formula which is valid on the class of finite trees is provable using our axioms. We are interested in this class of structures because it allows to represent
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