Structural Analysis of Non-Classical Logics

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Publisher : Springer
ISBN 13 : 3662483572
Total Pages : 285 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Structural Analysis of Non-Classical Logics by : Syraya Chin-Mu Yang

Download or read book Structural Analysis of Non-Classical Logics written by Syraya Chin-Mu Yang and published by Springer. This book was released on 2015-10-16 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a group of logic-minded philosophers and philosophically oriented logicians to address a diversity of topics on the structural analysis of non-classical logics. It mainly focuses on the construction of different types of models for various non-classical logics of current interest, including modal logics, epistemic logics, dynamic logics, and observational predicate logic. The book presents a wide range of applications of two well-known approaches in current research: (i) structural modeling of certain philosophical issues in the framework of non-classic logics, such as admissible models for modal logic, structural models for modal epistemology and for counterfactuals, and epistemological models for common knowledge and for public announcements; (ii) conceptual analysis of logical properties of, and formal semantics for, non-classical logics, such as sub-formula property, truthmaking, epistemic modality, behavioral strategies, speech acts and assertions. The structural analysis provided in this volume will appeal not only to graduate students and experts in non-classic logics, but also to readers from a wide range of disciplines, including computer science, cognitive science, linguistics, game theory and theory of action, to mention a few.

Classical and Nonclassical Logics

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Publisher : Princeton University Press
ISBN 13 : 9780691122793
Total Pages : 530 pages
Book Rating : 4.1/5 (227 download)

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Book Synopsis Classical and Nonclassical Logics by : Eric Schechter

Download or read book Classical and Nonclassical Logics written by Eric Schechter and published by Princeton University Press. This book was released on 2005-08-28 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).

Labelled Non-Classical Logics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475732082
Total Pages : 295 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Labelled Non-Classical Logics by : Luca Viganò

Download or read book Labelled Non-Classical Logics written by Luca Viganò and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.

Logic and Implication

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Publisher : Springer Nature
ISBN 13 : 3030856755
Total Pages : 465 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Logic and Implication by : Petr Cintula

Download or read book Logic and Implication written by Petr Cintula and published by Springer Nature. This book was released on 2022-01-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.

Philosophical Logic: Current Trends in Asia

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Publisher : Springer
ISBN 13 : 9811063559
Total Pages : 308 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Philosophical Logic: Current Trends in Asia by : Syraya Chin-Mu Yang

Download or read book Philosophical Logic: Current Trends in Asia written by Syraya Chin-Mu Yang and published by Springer. This book was released on 2017-11-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a group of logic-minded philosophers and philosophically oriented logicians, mainly from Asia, to address a variety of logical and philosophical topics of current interest, offering a representative cross-section of the philosophical logic landscape in early 21st-century Asia. It surveys a variety of fields, including modal logic, epistemic logic, formal semantics, decidability and mereology. The book proposes new approaches and constructs more powerful frameworks, such as cover theory, an algebraic approach to cut-elimination, and a Boolean approach to causal discovery, to name but a few. Readers may find a wide range of applications of these original works in current research of philosophical logic, especially in the structural and conceptual analysis of some significant semantic properties and formal systems. The variety of topics and issues discussed here will appeal to readers from a broad spectrum of disciplines, ranging from mathematical/philosophical logic, computing science, cognitive science and artificial intelligence, to linguistics, game theory and beyond.

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

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

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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.

Arnon Avron on Semantics and Proof Theory of Non-Classical Logics

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Publisher : Springer Nature
ISBN 13 : 3030712583
Total Pages : 369 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Arnon Avron on Semantics and Proof Theory of Non-Classical Logics by : Ofer Arieli

Download or read book Arnon Avron on Semantics and Proof Theory of Non-Classical Logics written by Ofer Arieli and published by Springer Nature. This book was released on 2021-07-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.

Logic, Rationality, and Interaction

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Publisher : Springer Nature
ISBN 13 : 3031455584
Total Pages : 344 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Logic, Rationality, and Interaction by : Natasha Alechina

Download or read book Logic, Rationality, and Interaction written by Natasha Alechina and published by Springer Nature. This book was released on 2023-10-23 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This LNCS book is part of the FOLLI book series and constitutes the proceedings of the 9th International Workshop on Logic, Rationality, and Interaction, LORI 2023, held in Jinan, China, in October 2023. The 15 full papers presented together with 7 short papers in this book were carefully reviewed and selected from 40 submissions. The workshop covers a wide range on the following topics such as agency; argumentation and agreement; belief representation; probability and uncertainty; belief revision and belief merging; knowledge and action; dynamics of informational attitudes; intentions, plans, and goals; decision making and planning; preference and utility; cooperation; strategic reasoning and game theory; epistemology; social choice; social interaction; speech acts; knowledge representation; norms and normative systems; natural language; rationality; philosophical logic.

Logic and Engineering of Natural Language Semantics

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Publisher : Springer Nature
ISBN 13 : 3031439775
Total Pages : 246 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Logic and Engineering of Natural Language Semantics by : Daisuke Bekki

Download or read book Logic and Engineering of Natural Language Semantics written by Daisuke Bekki and published by Springer Nature. This book was released on 2023-10-23 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume LNCS 14213 constitutes the refereed proceedings of the 19th International Conference, LENLS 2019, held in November 2022, in Tokyo, Japan. The 13 full papers presented were carefully reviewed and selected from 34 submissions. The conference focuses on theoretical and computational linguistics covering topics ranging from syntax, semantics, and pragmatics to the philosophy of language and natural language processing.

Hiroakira Ono on Substructural Logics

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Publisher : Springer Nature
ISBN 13 : 3030769208
Total Pages : 382 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Hiroakira Ono on Substructural Logics by : Nikolaos Galatos

Download or read book Hiroakira Ono on Substructural Logics written by Nikolaos Galatos and published by Springer Nature. This book was released on 2021-12-13 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.

An Introduction to Non-Classical Logic

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Publisher : Cambridge University Press
ISBN 13 : 9780521794343
Total Pages : 268 pages
Book Rating : 4.7/5 (943 download)

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Book Synopsis An Introduction to Non-Classical Logic by : Graham Priest

Download or read book An Introduction to Non-Classical Logic written by Graham Priest and published by Cambridge University Press. This book was released on 2001-02-22 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to non-classical propositional logics. It brings together for the first time in a textbook a range of topics in logic, many of them of relatively recent origin, including modal, conditional, intuitionist, many-valued, paraconsistent, relevant and fuzzy logics. The material is unified by the underlying theme of world-semantics. All of the topics are explained clearly and accessibly, using devices such as tableaux proofs, and their relation to current philosophical issues and debates is discussed. Students with a basic understanding of classical logic will find this an invaluable introduction to an area that has become of central importance in both logic and philosophy, but which, until now, could be studied only through the research literature. It will interest those studying logic, those who need to know about non-classical logics because of their philosophical importance, and, more widely, readers working in mathematics and computer science.

Logic and Its Applications

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Publisher : Springer
ISBN 13 : 3662587718
Total Pages : 210 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Logic and Its Applications by : Md. Aquil Khan

Download or read book Logic and Its Applications written by Md. Aquil Khan and published by Springer. This book was released on 2019-02-13 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the refereed proceedings of the 8th Indian Conference on Logic and Its Applications, ICLA 2019, held in Delhi, India, in March 2019. The volume contains 13 full revised papers along with 6 invited talks presented at the conference. The aim of this conference series is to bring together researchers from a wide variety of fields in which formal logic plays a significant role. Areas of interest include mathematical and philosophical logic, computer science logic, foundations and philosophy of mathematics and the sciences, use of formal logic in areas of theoretical computer science and artificial intelligence, logic and linguistics, and the relationship between logic and other branches of knowledge. Of special interest are studies in systems of logic in the Indian tradition, and historical research on logic.

Nonclassical Logics and Their Applications

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Publisher : Springer Nature
ISBN 13 : 9811513422
Total Pages : 159 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Nonclassical Logics and Their Applications by : Shier Ju

Download or read book Nonclassical Logics and Their Applications written by Shier Ju and published by Springer Nature. This book was released on 2020-01-31 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book focuses on non-classical logics and their applications, highlighting the rapid advances and the new perspectives that are emerging in this area. Non-classical logics are logical formalisms that violate or go beyond classical logic laws, and their specific features make them particularly suited to describing and reason about aspects of social interaction. The richness and diversity of non-classical logics mean that this area is a natural catalyst for ideas and insights from many different fields, from information theory to game theory and business science. This volume is the post-proceedings of the 8th International Conference on Logic and Cognition, held at Sun Yat-Sen University Institute of Logic and Cognition (ILC) in Guangzhou, China in December 2016. The conference series started in 2001, and is organized by the ILC, often in collaboration with various international research groups. This eighth installment was jointly organized by ILC and Alessandra Palmigiano's Applied Logic research group. The conference series aims to foster the development of effective logical tools to study social behavior from a philosophical, cognitive and formal perspective in order to challenge the field of logic in ways that open up new and exciting research directions. Chapter "The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms" of this book is available open access under a CC BY 4.0 license at link.springer.com

Logic for Programming, Artificial Intelligence, and Reasoning

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Publisher : Springer
ISBN 13 : 366248899X
Total Pages : 652 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Logic for Programming, Artificial Intelligence, and Reasoning by : Martin Davis

Download or read book Logic for Programming, Artificial Intelligence, and Reasoning written by Martin Davis and published by Springer. This book was released on 2015-12-01 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR-20, held in November 2015, in Suva, Fiji. The 43 regular papers presented together with 1 invited talk included in this volume were carefully reviewed and selected from 92 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning, LPAR, is a forum where, year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cutting-edge results, to discuss advances in these fields, and to exchange ideas in a scientifically emerging part of the world.

Essays On Non-classical Logic

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Publisher : World Scientific
ISBN 13 : 9814490202
Total Pages : 275 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Essays On Non-classical Logic by : Heinrich Wansing

Download or read book Essays On Non-classical Logic written by Heinrich Wansing and published by World Scientific. This book was released on 2001-09-25 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence. The problems addressed range from methodological issues in paraconsistent and deontic logic to the revision theory of truth and infinite Turing machines. The book identifies a number of important current trends in contemporary non-classical logic. Among them are dialogical and substructural logic, the classification of concepts of negation, truthmaker theory, and mathematical and foundational aspects of modal and temporal logic.

Logic, Language and Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 9401156387
Total Pages : 256 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Logic, Language and Computation by : S. Akama

Download or read book Logic, Language and Computation written by S. Akama and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The editors of the Applied Logic Series are happy to present to the reader the fifth volume in the series, a collection of papers on Logic, Language and Computation. One very striking feature of the application of logic to language and to computation is that it requires the combination, the integration and the use of many diverse systems and methodologies - all in the same single application. The papers in this volume will give the reader a glimpse into the problems of this active frontier of logic. The Editors CONTENTS Preface IX 1. S. AKAMA Recent Issues in Logic, Language and Computation 1 2. M. J. CRESSWELL Restricted Quantification 27 3. B. H. SLATER The Epsilon Calculus' Problematic 39 4. K. VON HEUSINGER Definite Descriptions and Choice Functions 61 5. N. ASHER Spatio-Temporal Structure in Text 93 6. Y. NAKAYAMA DRT and Many-Valued Logics 131 7. S. AKAMA On Constructive Modality 143 8. H. W ANSING Displaying as Temporalizing: Sequent Systems for Subintuitionistic Logics 159 9. L. FARINAS DEL CERRO AND V. LUGARDON 179 Quantification and Dependence Logics 10. R. SYLVAN Relevant Conditionals, and Relevant Application Thereof 191 Index 245 Preface This is a collection of papers by distinguished researchers on Logic, Lin guistics, Philosophy and Computer Science. The aim of this book is to address a broad picture of the recent research on related areas. In particular, the contributions focus on natural language semantics and non-classical logics from different viewpoints.

Mathematical Optimization Theory and Operations Research

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Publisher : Springer Nature
ISBN 13 : 3030333949
Total Pages : 606 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematical Optimization Theory and Operations Research by : Igor Bykadorov

Download or read book Mathematical Optimization Theory and Operations Research written by Igor Bykadorov and published by Springer Nature. This book was released on 2019-10-26 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised and selected papers from the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 40 full papers and 4 short papers presented in this volume were carefully reviewed and selected from a total of 170 submissions. The papers in the volume are organised according to the following topical headings: ​combinatorial optimization; game theory and mathematical economics; data mining and computational geometry; integer programming; mathematical programming; operations research; optimal control and applications.