Search Results - "Bezhanishvili, N."
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1
Tree-like constructions in topology and modal logic
Published in Archive for mathematical logic (01-05-2021)“…Within ZFC, we develop a general technique to topologize trees that provides a uniform approach to topological completeness results in modal logic with respect…”
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2
Diego’s Theorem for nuclear implicative semilattices
Published in Indagationes mathematicae (01-04-2021)“…We prove that the variety of nuclear implicative semilattices is locally finite, thus generalizing Diego’s Theorem. The key ingredients of our proof include…”
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3
Vietoris Bisimulations
Published in Journal of logic and computation (01-10-2010)“…Building on the fact that descriptive frames are coalgebras for the Vietoris functor on the category of Stone spaces, we introduce and study the concept of a…”
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Profiniteness and representability of spectra of Heyting algebras
Published in Advances in mathematics (New York. 1965) (19-11-2021)“…We prove that there exist profinite Heyting algebras that are not isomorphic to the profinite completion of any Heyting algebra. This resolves an open problem…”
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A New Proof of the McKinsey–Tarski Theorem
Published in Studia logica (01-12-2018)“…It is a landmark theorem of McKinsey and Tarski that if we interpret modal diamond as closure (and hence modal box as interior), then S4 is the logic of any…”
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Sahlqvist preservation for topological fixed-point logic
Published in Journal of logic and computation (01-04-2017)Get full text
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7
Profinite Heyting Algebras
Published in Order (Dordrecht) (01-08-2008)“…For a Heyting algebra A , we show that the following conditions are equivalent: (i) A is profinite; (ii) A is finitely approximable, complete, and completely…”
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Modal compact Hausdorff spaces
Published in Journal of logic and computation (01-02-2015)“…We introduce modal compact Hausdorff spaces as generalizations of modal spaces, and show these are coalgebras for the Vietoris functor on compact Hausdorff…”
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9
Bi-intermediate logics of trees and co-trees
Published 27-11-2022“…A bi-Heyting algebra validates the G\"odel-Dummett axiom $(p\to q)\vee (q\to p)$ iff the poset of its prime filters is a disjoint union of co-trees (i.e.,…”
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Varieties of two-dimensional cylindric algebras II
Published in Algebra universalis (01-08-2004)Get full text
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11
Profiniteness and representability of spectra of Heyting algebras
Published 03-03-2021“…We prove that there exist profinite Heyting algebras that are not isomorphic to the profinite completion of any Heyting algebra. This resolves an open problem…”
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Pseudomonadic Algebras as Algebraic Models of Doxastic Modal Logic
Published in Mathematical logic quarterly (01-11-2002)“…We generalize the notion of a monadic algebra to that of a pseudomonadic algebra. In the same way as monadic algebras serve as algebraic models of epistemic…”
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Varieties of two-dimensional cylindric algebras.¶Part I: Diagonal-free case
Published in Algebra universalis (01-01-2002)Get full text
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14
Transfer Results for Hybrid Logic. Part I: The Case Without Satisfaction Operators
Published in Journal of logic and computation (01-04-2006)“…We define for every Kripke complete modal logic L its hybrid companion LH and investigate which properties transfer from L to LH. For a specific class of…”
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15
Changing a semantics: opportunism or courage?
Published 27-11-2014“…In: The life and work of Leon Henkin. Essays on his contributions. Editors: Maria Manzano, Ildiko Sain and Enrique Alonso., Studies in Universal Logic,…”
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