Leo Esakia On Duality In Modal And Intuitionistic Logics

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Leo Esakia on Duality in Modal and Intuitionistic Logics

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Author : Guram Bezhanishvili
Publisher : Springer
ISBN 13 : 940178860X
Total Pages : 340 pages
Book Rating : 4.4/5 (17 download)

Book Synopsis Leo Esakia on Duality in Modal and Intuitionistic Logics by : Guram Bezhanishvili

Download or read book Leo Esakia on Duality in Modal and Intuitionistic Logics written by Guram Bezhanishvili and published by Springer. This book was released on 2014-06-03 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic, Language, and Computation

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Author : Martin Aher
Publisher : Springer
ISBN 13 : 3662469065
Total Pages : 346 pages
Book Rating : 4.6/5 (624 download)

Book Synopsis Logic, Language, and Computation by : Martin Aher

Download or read book Logic, Language, and Computation written by Martin Aher and published by Springer. This book was released on 2015-05-04 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Tbilisi Symposium on Logic, Language and Computation, TbiLLC 2013, held in Gudauri, Georgia, in September 2013. The conference series is centered around the interaction between logic, language and computation. The contributions represent these three fields and the symposia aim to foster interaction between them. The book consists of 16 papers that were carefully reviewed and selected from 26 submissions. Each paper has passed through a rigorous peer-review process before being accepted for publication. The volume also contains two summaries of the tutorials that took place at the symposium: the one on admissible rules and the one on the formal semantics of aspectual meaning from a cross-linguistic perspective.

Foundations of Software Science and Computation Structures

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Author : Christel Baier
Publisher : Springer
ISBN 13 : 3319893661
Total Pages : 586 pages
Book Rating : 4.3/5 (198 download)

Book Synopsis Foundations of Software Science and Computation Structures by : Christel Baier

Download or read book Foundations of Software Science and Computation Structures written by Christel Baier and published by Springer. This book was released on 2018-04-14 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 21st International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2018, which took place in Thessaloniki, Greece, in April 2018, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2018.The 31 papers presented in this volume were carefully reviewed and selected from 103 submissions. The papers are organized in topical sections named: semantics; linearity; concurrency; lambda-calculi and types; category theory and quantum control; quantitative models; logics and equational theories; and graphs and automata.

Logic, Language, Information, and Computation

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Author : Agata Ciabattoni
Publisher : Springer Nature
ISBN 13 : 3031152980
Total Pages : 441 pages
Book Rating : 4.0/5 (311 download)

Book Synopsis Logic, Language, Information, and Computation by : Agata Ciabattoni

Download or read book Logic, Language, Information, and Computation written by Agata Ciabattoni and published by Springer Nature. This book was released on 2022-09-08 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 28th Workshop on Logic, Language, Information and Computation, WoLLIC 2022, Iasi, Romania, in September 2022. The 25 full papers presented included with 8 extra abstracts, 5 invited talks and 3 tutorials were fully reviewed and selected from 46 submissions. The conference aims fostering interdisciplinary research in pure and applied logic.

Hajnal Andréka and István Németi on Unity of Science

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Author : Judit Madarász
Publisher : Springer Nature
ISBN 13 : 3030641872
Total Pages : 517 pages
Book Rating : 4.0/5 (36 download)

Book Synopsis Hajnal Andréka and István Németi on Unity of Science by : Judit Madarász

Download or read book Hajnal Andréka and István Németi on Unity of Science written by Judit Madarász and published by Springer Nature. This book was released on 2021-05-31 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Neighborhood Semantics for Modal Logic

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Author : Eric Pacuit
Publisher : Springer
ISBN 13 : 3319671499
Total Pages : 165 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Neighborhood Semantics for Modal Logic by : Eric Pacuit

Download or read book Neighborhood Semantics for Modal Logic written by Eric Pacuit and published by Springer. This book was released on 2017-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics). In addition, the book discusses a broad range of topics, including standard modal logic results (i.e., completeness, decidability and definability); bisimulations for neighborhood models and other model-theoretic constructions; comparisons with other semantics for modal logic (e.g., relational models, topological models, plausibility models); neighborhood semantics for first-order modal logic, applications in game theory (coalitional logic and game logic); applications in epistemic logic (logics of evidence and belief); and non-normal modal logics with dynamic modalities. The book can be used as the primary text for seminars on philosophical logic focused on non-normal modal logics; as a supplemental text for courses on modal logic, logic in AI, or philosophical logic (either at the undergraduate or graduate level); or as the primary source for researchers interested in learning about the uses of neighborhood semantics in philosophical logic and game theory.

Automated Reasoning with Analytic Tableaux and Related Methods

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Author : Revantha Ramanayake
Publisher : Springer Nature
ISBN 13 : 3031435133
Total Pages : 487 pages
Book Rating : 4.0/5 (314 download)

Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Revantha Ramanayake

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Revantha Ramanayake and published by Springer Nature. This book was released on 2023-10-15 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the proceedings of the 32nd International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2023, held in Prague, Czech Republic, during September 18-21, 2023. The 20 full papers and 5 short papers included in this book together with 5 abstracts of invited talks were carefully reviewed and selected from 43 submissions. They present research on all aspects of the mechanization of reasoning with tableaux and related methods. The papers are organized in the following topical sections: tableau calculi; sequent calculi; theorem proving; non-wellfounded proofs; modal logics; linear logic and MV-algebras; separation logic; and first-order logics.

Logical Foundations of Computer Science

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Author : Sergei Artemov
Publisher : Springer
ISBN 13 : 3319276832
Total Pages : 417 pages
Book Rating : 4.3/5 (192 download)

Book Synopsis Logical Foundations of Computer Science by : Sergei Artemov

Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer. This book was released on 2015-12-14 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2016, held in Deerfield Beach, FL, USA in January 2016. The 27 revised full papers were carefully reviewed and selected from 46 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; and other logics in computer science.

V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics

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Author : Alex Citkin
Publisher : Springer Nature
ISBN 13 : 3031068432
Total Pages : 319 pages
Book Rating : 4.0/5 (31 download)

Book Synopsis V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics by : Alex Citkin

Download or read book V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics written by Alex Citkin and published by Springer Nature. This book was released on 2022-11-08 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Duality for Distributive Lattices

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Author : Mai Gehrke
Publisher : Cambridge University Press
ISBN 13 : 1009349716
Total Pages : 370 pages
Book Rating : 4.0/5 (93 download)

Book Synopsis Topological Duality for Distributive Lattices by : Mai Gehrke

Download or read book Topological Duality for Distributive Lattices written by Mai Gehrke and published by Cambridge University Press. This book was released on 2024-02-29 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing Stone–Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.

Johan van Benthem on Logic and Information Dynamics

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Author : Alexandru Baltag
Publisher : Springer
ISBN 13 : 3319060252
Total Pages : 1072 pages
Book Rating : 4.3/5 (19 download)

Book Synopsis Johan van Benthem on Logic and Information Dynamics by : Alexandru Baltag

Download or read book Johan van Benthem on Logic and Information Dynamics written by Alexandru Baltag and published by Springer. This book was released on 2014-08-27 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the program of Logical-Informational Dynamics. Rational agents exploit the information available in the world in delicate ways, adopt a wide range of epistemic attitudes, and in that process, constantly change the world itself. Logical-Informational Dynamics is about logical systems putting such activities at center stage, focusing on the events by which we acquire information and change attitudes. Its contributions show many current logics of information and change at work, often in multi-agent settings where social behavior is essential, and often stressing Johan van Benthem's pioneering work in establishing this program. However, this is not a Festschrift, but a rich tapestry for a field with a wealth of strands of its own. The reader will see the state of the art in such topics as information update, belief change, preference, learning over time, and strategic interaction in games. Moreover, no tight boundary has been enforced, and some chapters add more general mathematical or philosophical foundations or links to current trends in computer science. The theme of this book lies at the interface of many disciplines. Logic is the main methodology, but the various chapters cross easily between mathematics, computer science, philosophy, linguistics, cognitive and social sciences, while also ranging from pure theory to empirical work. Accordingly, the authors of this book represent a wide variety of original thinkers from different research communities. And their interconnected themes challenge at the same time how we think of logic, philosophy and computation. Thus, very much in line with van Benthem's work over many decades, the volume shows how all these disciplines form a natural unity in the perspective of dynamic logicians (broadly conceived) exploring their new themes today. And at the same time, in doing so, it offers a broader conception of logic with a certain grandeur, moving its horizons beyond the traditional study of consequence relations.

Kit Fine on Truthmakers, Relevance, and Non-classical Logic

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Author : Federico L. G. Faroldi
Publisher : Springer Nature
ISBN 13 : 3031294157
Total Pages : 796 pages
Book Rating : 4.0/5 (312 download)

Book Synopsis Kit Fine on Truthmakers, Relevance, and Non-classical Logic by : Federico L. G. Faroldi

Download or read book Kit Fine on Truthmakers, Relevance, and Non-classical Logic written by Federico L. G. Faroldi and published by Springer Nature. This book was released on 2023-11-25 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores some of Kit Fine's outstanding contributions to logic, philosophy of language, philosophy of mathematics, and metaphysics, among others. Contributing authors address in-depth issues about truthmaker semantics, counterfactual conditionals, grounding, vagueness, non-classical consequence relations, and arbitrary objects, offering critical reflections and novel research contributions. Each chapter is accompanied by an extensive commentary, in which Kit Fine offers detailed responses to the ideas and themes raised by the contributors. The book includes a brief autobiography and exhaustive list of his publications to this date. This book is of interest to logicians of all stripes and to analytic philosophers more generally.

Automated Reasoning with Analytic Tableaux and Related Methods

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Author : Didier Galmiche
Publisher : Springer
ISBN 13 : 3642405371
Total Pages : 297 pages
Book Rating : 4.6/5 (424 download)

Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Didier Galmiche

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Didier Galmiche and published by Springer. This book was released on 2013-09-11 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2013, held in Nancy, France, in September 2013. The 20 revised research papers presented together with 4 system descriptions were carefully reviewed and selected from 38 submissions. The papers cover many topics as proof-theory in classical and non-classical logics, analytic tableaux for various logics, related techniques and concepts, e.g., model checking and BDDs, related methods (model elimination, sequent calculi, resolution, and connection method), new calculi and methods for theorem proving and verification in classical and non-classical logics, systems, tools, implementations and applications as well as automated deduction and formal methods applied to logic, mathematics, software development, protocol verification, and security.

Transactions on Rough Sets XXIII

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Author : James F. Peters
Publisher : Springer Nature
ISBN 13 : 3662665441
Total Pages : 513 pages
Book Rating : 4.6/5 (626 download)

Book Synopsis Transactions on Rough Sets XXIII by : James F. Peters

Download or read book Transactions on Rough Sets XXIII written by James F. Peters and published by Springer Nature. This book was released on 2023-01-01 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. Volume XXIII in the series is a continuation of a number of research streams that have grown out of the seminal work of Zdzislaw Pawlak during the first decade of the 21st century.

Larisa Maksimova on Implication, Interpolation, and Definability

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Author : Sergei Odintsov
Publisher : Springer
ISBN 13 : 3319699172
Total Pages : 374 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Larisa Maksimova on Implication, Interpolation, and Definability by : Sergei Odintsov

Download or read book Larisa Maksimova on Implication, Interpolation, and Definability written by Sergei Odintsov and published by Springer. This book was released on 2018-01-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume focuses on the work of Professor Larisa Maksimova, providing a comprehensive account of her outstanding contributions to different branches of non-classical logic. The book covers themes ranging from rigorous implication, relevance and algebraic logic, to interpolation, definability and recognizability in superintuitionistic and modal logics. It features both her scientific autobiography and original contributions from experts in the field of non-classical logics. Professor Larisa Maksimova's influential work involved combining methods of algebraic and relational semantics. Readers will be able to trace both influences on her work, and the ways in which her work has influenced other logicians. In the historical part of this book, it is possible to trace important milestones in Maksimova’s career. Early on, she developed an algebraic semantics for relevance logics and relational semantics for the logic of entailment. Later, Maksimova discovered that among the continuum of superintuitionisitc logics there are exactly three pretabular logics. She went on to obtain results on the decidability of tabularity and local tabularity problems for superintuitionistic logics and for extensions of S4. Further investigations by Maksimova were aimed at the study of fundamental properties of logical systems (different versions of interpolation and definability, disjunction property, etc.) in big classes of logics, and on decidability and recognizability of such properties. To this end she determined a powerful combination of algebraic and semantic methods, which essentially determine the modern state of investigations in the area, as can be seen in the later chapters of this book authored by leading experts in non-classical logics. These original contributions bring the reader up to date on the very latest work in this field.

Heyting Algebras

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Author : Leo Esakia
Publisher : Springer
ISBN 13 : 3030120961
Total Pages : 107 pages
Book Rating : 4.0/5 (31 download)

Book Synopsis Heyting Algebras by : Leo Esakia

Download or read book Heyting Algebras written by Leo Esakia and published by Springer. This book was released on 2019-07-05 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Automated Reasoning

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Author : Christoph Benzmüller
Publisher : Springer Nature
ISBN 13 : 3031635019
Total Pages : 435 pages
Book Rating : 4.0/5 (316 download)

Book Synopsis Automated Reasoning by : Christoph Benzmüller

Download or read book Automated Reasoning written by Christoph Benzmüller and published by Springer Nature. This book was released on with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: