Esakia PDF Download

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ISBN:
Category : Entomology
Languages : en
Pages : 474

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Author: Guram Bezhanishvili
Publisher: Springer
ISBN: 940178860X
Category : Philosophy
Languages : en
Pages : 340

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This volume is dedicated to Leo Esakia's contributions to the theory of modal and intuitionistic systems. Consisting of 10 chapters, written by leading experts, this volume discusses Esakia’s original contributions and consequent developments that have helped to shape duality theory for modal and intuitionistic logics and to utilize it to obtain some major results in the area. Beginning with a chapter which explores Esakia duality for S4-algebras, the volume goes on to explore Esakia duality for Heyting algebras and its generalizations to weak Heyting algebras and implicative semilattices. The book also dives into the Blok-Esakia theorem and provides an outline of the intuitionistic modal logic KM which is closely related to the Gödel-Löb provability logic GL. One chapter scrutinizes Esakia’s work interpreting modal diamond as the derivative of a topological space within the setting of point-free topology. The final chapter in the volume is dedicated to the derivational semantics of modal logic and other related issues.

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Category :
Languages : en
Pages : 1274

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Author: Nick Bezhanishvili
Publisher: Springer Science & Business Media
ISBN: 3642223028
Category : Computers
Languages : en
Pages : 373

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Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 8th International Tbilisi Symposium on Logic, Language, and Computation, TbiLLC 2009, held in Bakuriani, Georgia, in September 2009. The 20 revised full papers included in the book were carefully reviewed and selected from numerous presentations given at the symposium. The focus of the papers is on the following topics: natural language syntax, semantics, and pragmatics; constructive, modal and algebraic logic; linguistic typology and semantic universals; logics for artificial intelligence; information retrieval, query answer systems; logic, games, and formal pragmatics; language evolution and learnability; computational social choice; historical linguistics, history of logic.

Author: Leo Esakia
Publisher: Springer
ISBN: 3030120961
Category : Philosophy
Languages : en
Pages : 107

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This book presents an English translation of a classic Russian text on duality theory for Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved popular among Russian-speaking logicians. This translation helps make the ideas accessible to a wider audience and pays tribute to an influential mind in mathematical logic. The book discusses the theory of Heyting algebras and closure algebras, as well as the corresponding intuitionistic and modal logics. The author introduces the key notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripke frames), resulting in the structures now known as Esakia spaces. The main theorems include a duality between the categories of closure algebras and of hybrids, and a duality between the categories of Heyting algebras and of so-called strict hybrids. Esakia’s book was originally published in 1985. It was the first of a planned two-volume monograph on Heyting algebras. But after the collapse of the Soviet Union, the publishing house closed and the project died with it. Fortunately, this important work now lives on in this accessible translation. The Appendix of the book discusses the planned contents of the lost second volume.

Author: Dov M. Gabbay
Publisher: Oxford University Press
ISBN: 0198511744
Category : Computers
Languages : en
Pages : 524

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This book is a specialized monograph on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language.Suitable for researchers and graduate students in mathematics, computer science and philosophy, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (second edition), J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and NonmonotonicReasoning, P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2, and David J. Pym and Eike Ritter's Reductive Logic and Proof Search: Proof theory, semantics and control.

Author: Alex Citkin
Publisher: Springer Nature
ISBN: 3031068432
Category : Mathematics
Languages : en
Pages : 319

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This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics.

Author: Rosalie Iemhoff
Publisher: Springer
ISBN: 3662595338
Category : Mathematics
Languages : en
Pages : 683

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Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 26th Workshop on Logic, Language, Information and Communication, WoLLIC 2019, held in Utrecht, The Netherlands, in July 2019. The 41 full papers together with 6 invited lectures presented were fully reviewed and selected from 60 submissions. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation, and yet is small enough to allow for concrete and useful interaction among participants.

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Publisher: BRILL
ISBN: 9004434992
Category : Science
Languages : en
Pages : 969

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Volume 5 of the Catalogue of Palaearctic Coleoptera focuses on one of the megadiverse groups of the animal kingdom, the beetle superfamily Tenebrionoidea reported from the Palaearctic biogeographic region. For the genus and species-groups taxa all available names are given and all data relevant to nomenclature are cross-checked and the distribution of species and subspecies is given per country or smaller region. A group of 25 experts have worked to collect data based on a critical review of published sources including a significant amount of new information. This volume also provides a fix to the nomenclature, which warrants unambiguous communication. Contributors are: Kiyoshi Ando, Maxwell V. L. Barclay, A. Marco A. Bologna, Patrice Bouchard, Yves Bousquet, Ivan A. Chigray, Alain Drumont, V. Leonid Egorov, Jan Horák, Dariusz Iwan, Marcin J. Kamiński, Roman Królik, Daniel Kubisz, Ivan Löbl, Otto Merkl, V. Maxim Nabozhenko, Gianluca Nardi, Nikolay B. Nikitsky, Vladimír Novák, Darren A. Pollock, Wolfgang Schawaller, Rudolf Schuh, Fabien Soldati, Dmitry Telnov, and Daniel K. Young.

Author: Judit Madarász
Publisher: Springer Nature
ISBN: 3030641872
Category : Philosophy
Languages : en
Pages : 517

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This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.