Structural Analysis Of Non Classical Logics

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Structural Analysis of Non-Classical Logics

Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin
Structural Analysis of Non Classical Logics Book PDF

Author : Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin
Publisher : Springer
Page : 278 pages
File Size : 45,8 Mb
Release : 2015-10-16
Category : Philosophy
ISBN : 9783662483572

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Structural Analysis of Non-Classical Logics by Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin Pdf

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.

Labelled Non-Classical Logics

Luca Viganò
Labelled Non Classical Logics Book PDF

Author : Luca Viganò
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 55,8 Mb
Release : 2013-04-17
Category : Philosophy
ISBN : 9781475732085

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Labelled Non-Classical Logics by Luca Viganò Pdf

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.

Labelled Non-Classical Logics

Luca Viganò
Labelled Non Classical Logics Book PDF

Author : Luca Viganò
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 51,5 Mb
Release : 2000-01-31
Category : Computers
ISBN : 0792377494

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Labelled Non-Classical Logics by Luca Viganò Pdf

The subject of Labelled Non-Classical Logics is the development and investigation of a framework for the modular and uniform presentation and implementation of non-classical logics, in particular modal and relevance logics. Logics are presented as labelled deduction systems, which are proved to be sound and complete with respect to the corresponding Kripke-style semantics. We investigate the proof theory of our systems, and show them to possess structural properties such as normalization and the subformula property, which we exploit not only to establish advantages and limitations of our approach with respect to related ones, but also to give, by means of a substructural analysis, a new proof-theoretic method for investigating decidability and complexity of (some of) the logics we consider. All of our deduction systems have been implemented in the generic theorem prover Isabelle, thus providing a simple and natural environment for interactive proof development. Labelled Non-Classical Logics is essential reading for researchers and practitioners interested in the theory and applications of non-classical logics.

Philosophical Logic: Current Trends in Asia

Syraya Chin-Mu Yang,Kok Yong Lee,Hiroakira Ono
Philosophical Logic Current Trends in Asia Book PDF

Author : Syraya Chin-Mu Yang,Kok Yong Lee,Hiroakira Ono
Publisher : Springer
Page : 296 pages
File Size : 46,7 Mb
Release : 2017-11-25
Category : Philosophy
ISBN : 9789811063558

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Philosophical Logic: Current Trends in Asia by Syraya Chin-Mu Yang,Kok Yong Lee,Hiroakira Ono Pdf

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.

Logic and Implication

Petr Cintula,Carles Noguera
Logic and Implication Book PDF

Author : Petr Cintula,Carles Noguera
Publisher : Springer Nature
Page : 465 pages
File Size : 46,5 Mb
Release : 2022-01-01
Category : Philosophy
ISBN : 9783030856755

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Logic and Implication by Petr Cintula,Carles Noguera Pdf

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.

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

Alex Citkin,Ioannis M. Vandoulakis
V A Yankov on Non Classical Logics History and Philosophy of Mathematics Book PDF

Author : Alex Citkin,Ioannis M. Vandoulakis
Publisher : Springer Nature
Page : 319 pages
File Size : 53,7 Mb
Release : 2022-11-08
Category : Mathematics
ISBN : 9783031068430

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V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics by Alex Citkin,Ioannis M. Vandoulakis Pdf

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.

Logic, Rationality, and Interaction

Natasha Alechina,Andreas Herzig,Fei Liang
Logic Rationality and Interaction Book PDF

Author : Natasha Alechina,Andreas Herzig,Fei Liang
Publisher : Springer Nature
Page : 344 pages
File Size : 40,7 Mb
Release : 2023-10-23
Category : Philosophy
ISBN : 9783031455582

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Logic, Rationality, and Interaction by Natasha Alechina,Andreas Herzig,Fei Liang Pdf

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

Daisuke Bekki,Koji Mineshima,Elin McCready
Logic and Engineering of Natural Language Semantics Book PDF

Author : Daisuke Bekki,Koji Mineshima,Elin McCready
Publisher : Springer Nature
Page : 246 pages
File Size : 50,7 Mb
Release : 2023-10-23
Category : Computers
ISBN : 9783031439773

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Logic and Engineering of Natural Language Semantics by Daisuke Bekki,Koji Mineshima,Elin McCready Pdf

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.

Classical and Nonclassical Logics

Eric Schechter
Classical and Nonclassical Logics Book PDF

Author : Eric Schechter
Publisher : Princeton University Press
Page : 530 pages
File Size : 49,8 Mb
Release : 2005-08-28
Category : Mathematics
ISBN : 0691122792

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Classical and Nonclassical Logics by Eric Schechter Pdf

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).

Hiroakira Ono on Substructural Logics

Nikolaos Galatos,Kazushige Terui
Hiroakira Ono on Substructural Logics Book PDF

Author : Nikolaos Galatos,Kazushige Terui
Publisher : Springer Nature
Page : 382 pages
File Size : 47,7 Mb
Release : 2021-12-13
Category : Philosophy
ISBN : 9783030769208

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Hiroakira Ono on Substructural Logics by Nikolaos Galatos,Kazushige Terui Pdf

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.

Logic and Its Applications

Md. Aquil Khan,Amaldev Manuel
Logic and Its Applications Book PDF

Author : Md. Aquil Khan,Amaldev Manuel
Publisher : Springer
Page : 210 pages
File Size : 42,6 Mb
Release : 2019-02-13
Category : Mathematics
ISBN : 9783662587713

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Logic and Its Applications by Md. Aquil Khan,Amaldev Manuel Pdf

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.

Logic for Programming, Artificial Intelligence, and Reasoning

Martin Davis,Ansgar Fehnker,Annabelle McIver,Andrei Voronkov
Logic for Programming Artificial Intelligence and Reasoning Book PDF

Author : Martin Davis,Ansgar Fehnker,Annabelle McIver,Andrei Voronkov
Publisher : Springer
Page : 640 pages
File Size : 46,6 Mb
Release : 2015-12-01
Category : Computers
ISBN : 9783662488997

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Logic for Programming, Artificial Intelligence, and Reasoning by Martin Davis,Ansgar Fehnker,Annabelle McIver,Andrei Voronkov Pdf

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

Heinrich Wansing
Essays on Non classical Logic Book PDF

Author : Heinrich Wansing
Publisher : World Scientific
Page : 275 pages
File Size : 45,6 Mb
Release : 2001
Category : Philosophy
ISBN : 9789812799746

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Essays on Non-classical Logic by Heinrich Wansing Pdf

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. Contents: Fine-Grained Theories of Time (P Blackburn); Revision Sequences and Computers with an Infinite Amount of Time (B LAwe); On Frege's Nightmare: A Combination of Intuitionistic, Free and Paraconsistent Logics (S Rahman); Truthmakers, Entailment and Necessity (S Read); Global Definability in Basic Modal Logic (M de Rijke & H Sturm); Ackermann's Implication for Typefree Logic (K Robering); Why Dialogical Logic? (H Rckert); Semantics for Constructive Negations (Y Shramko); Recent Trends in Paraconsistent Logic (M Urchs); Obligations, Authorities, and History Dependence (H Wansing). Readership: Graduate students and researchers in philosophical logic and mathematical logic, as well as computer scientists in artificial intelligence."

Essays On Non-classical Logic

Heinrich Wansing
Essays On Non classical Logic Book PDF

Author : Heinrich Wansing
Publisher : World Scientific
Page : 275 pages
File Size : 46,5 Mb
Release : 2001-09-25
Category : Computers
ISBN : 9789814490207

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Essays On Non-classical Logic by Heinrich Wansing Pdf

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.

An Introduction to Non-Classical Logic

Graham Priest
An Introduction to Non Classical Logic Book PDF

Author : Graham Priest
Publisher : Cambridge University Press
Page : 268 pages
File Size : 54,5 Mb
Release : 2001-02-22
Category : Mathematics
ISBN : 052179434X

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An Introduction to Non-Classical Logic by Graham Priest Pdf

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.