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Titlebook: Logic and Its Applications; Third Indian Confere R. Ramanujam,Sundar Sarukkai Conference proceedings 2009 Springer-Verlag Berlin Heidelberg

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Conference proceedings 2009e. It contains the refereed proceedings of the Third Indian Conference on Logic and Its Applications, ICLA 2009, held in Chennai, India, in January 2009...The 12 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from numerous submissions. The papers
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Connection Matrices for MSOL-Definable Structural Invariants,arameters . definable in Monadic Second Order Logic, (.) and binary operations compatible with ., the connection matrix . has always finite rank. In this talk we discuss several applications of this Finite Rank Theorem, and outline ideas for further research.
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A Para Consistent Fuzzy Logic,uth, falsehood, contradiction and unknowness of ., respectively, can be calculated. In such an approach truth and falsehood are not each others complements. This paper can be seen as a solution to some open problems presented in [11].
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Algebraic Study of Lattice-Valued Logic and Lattice-Valued Modal Logic,s with respect to .-valued Kripke semantics. Moreover, it is shown that .-valued modal logic enjoys finite model property and that .-valued intuitionistic logic is embedded into .-valued modal logic of .-type via Gödel-style translation.
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An Analytic Logic of Aggregation,tates. The addition of the existential modality and nominals allows us to produce, first, a Hilbert-style axiomatization of the logic and then a more thorough analysis of inference using a Gentzen-style sequent calculus, in which the role of each operator is revealed.
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A General Setting for the Pointwise Investigation of Determinacy,ship between the two cases, and using a definition which adequately generalizes both the Marczewski-Burstin algebra of measurability and the Baire property, prove results similar to [Lö05]..We also show how this can be further generalized for the purpose of comparing algebras of measurability of various forcing notions.
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Some Second Order Set Theory,which it arises by forcing. The research is a mixture of ideas from several parts of logic, including, of course, set theory and forcing, but also modal logic, finite combinatorics and the philosophy of mathematics, for it invites a mathematical engagement with various philosophical views on the nature of mathematical existence.
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