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Titlebook: Unity of Logic and Computation; 19th Conference on C Gianluca Della Vedova,Besik Dundua,Florin Manea Conference proceedings 2023 The Editor

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Unity of Logic and Computation978-3-031-36978-0Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/u/image/942141.jpg
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https://doi.org/10.1007/978-3-031-36978-0architecting; artificial intelligence; automata theory; computer metatheory; databases; formal languages;
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Symmetry for Transfinite Computabilityation break this symmetry; we consider ways to recover it and study the resulting model of computation. Whether this model exhibits the same symmetry as finite Turing computation is independent of von Neumann-Gödel-Bernays class theory: it holds if and only if the universe is constructible from a set of ordinals.
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De Groot Duality for Represented Spacespresentation inherited from the hyperspace of closed subsets. This yields an elegant duality, in particular between Hausdorff spaces and compact .-spaces. As an application of the concept, we study the point degree spectrum of the dual of Baire space, and show that it is, in a formal sense, far from being countably-based.
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Logic vs Topology on Regular ,-languagesierarchy we provide a first-order sentence such that the corresponding .-language is precisely at this level. The structure of the sentence closely mimics a set-theoretic operation describing the level as a Wadge class.
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