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Titlebook: Logical Foundations of Computer Science; International Sympos Sergei Artemov,Anil Nerode Conference proceedings 2016 Springer International

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,On Lambek’s Restriction in the Presence of Exponential Modalities,lus is the so-called “Lambek’s restriction,” that is, the antecedent of any provable sequent should be non-empty. In this paper we discuss ways of extending the Lambek calculus with the linear logic exponential modality while keeping Lambek’s restriction. We present several versions of the Lambek ca
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A Quest for Algorithmically Random Infinite Structures, II,nching class. Through this technical yet simple notion we define measure, metric, and topology in many classes of graphs, trees, relational structures, and algebras. As a consequence we define algorithmically random structures. We prove the existence of algorithmically random structures with various
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Interpolation Method for Multicomponent Sequent Calculi, the notations were formalism-specific, obscuring the underlying common idea, which is presented here in a general form applicable also to other similar formalisms, e.g., prefixed tableaus. It describes requirements sufficient for using the method on a proof system for a logic, as well as additional
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Parallel Feedback Turing Computability,tudy parallelism for the most basic kind of feedback, namely that of Turing computability. We investigate several different possible definitions of parallelism in this context, with an eye toward specifying what is so computable. For the deterministic notions of parallelism identified we are success
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Measure Quantifier in Monadic Second Order Logic,st surely for a randomly chosen .. We prove that the theory of . is undecidable both when interpreted on . and the full binary tree. We then identify a fragment of ., denoted by ., and reduce some interesting problems in computer science and mathematical logic to the decision problem of .. The quest
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Antonis Achilleosnowledge. The acquisition and exchange of (tacit) knowledge relies on interpersonal interactions and is thus time- and place-dependent. Given that the combination of heterogeneous knowledge stocks furthers innovation, organisations develop strategies to ensure the transfer of knowledge. To enable in
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