Titlebook: Logic, Language, Information, and Computation; 20th International W Leonid Libkin,Ulrich Kohlenbach,Ruy Queiroz Conference proceedings 2013

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Independence in Database Relations,dence atom not implied by the given set. Our results establish independence atoms as an efficient subclass of embedded multivalued data dependencies which are not axiomatizable by a finite set of Horn rules, and whose implication problem is undecidable.

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Substructural Logic of Proofs,he idea of Yu [10], we also show that the contraction-free, multiplicative .-fragment of the bimodal substructural logic is realizable without appealing to a so-called “self-referential constant specification.”

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Full Lambek Hyperdoctrine: Categorical Semantics for First-Order Substructural Logics,concept of Full Lambek hyperdoctrines, we establish both generic and set-theoretical completeness results for any extension of the base system; the latter arises from a dual adjunction, and is relevant to the tripos-to-topos construction and quantale-valued sets. Furthermore, we give a hyperdoctrinal account of Girard’s and G?del’s translation.

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Natural Models of Homotopy Type Theory (Abstract),formal calculus for reasoning about homotopy theory, as well as more general mathematics such as can be formulated in category theory or set theory, under this new homotopical interpretation. Because constructive type theory has been implemented in computational proof assistants like Co., it also fa

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Counting in SPARQL Property Paths: Perspectives from Theory and Practice,rds, the World Wide Web Consortium (W3C) does not necessarily always have all the cards on the table in order to make perfectly informed design decisions and therefore it partly relies on input from the research community. This is a very interesting situation for researchers since it can give the op