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Quantification in Nonclassical Logic

Quantification in Nonclassical Logic
  • Author : Dov M. Gabbay,Dimitrij Skvortsov,Valentin Shehtman
  • Publisher :Unknown
  • Release Date :2009-06-20
  • Total pages :640
  • ISBN : 9780080931128
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Summary : Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy and language in ancient times; they were studied by traditional informal methods until the 20th century. In the last century the tools became highly mathematical, and both modal logic and quantification found numerous applications in Computer Science. At the same time many other kinds of nonclassical logics were investigated and applied to Computer Science. Although there exist several good books in propositional modal logics, this book is the first detailed monograph in nonclassical first-order quantification. It includes results obtained during the past thirty years. The field is very large, so we confine ourselves with only two kinds of logics: modal and superintuitionistic. The main emphasis of Volume 1 is model-theoretic, and it concentrates on descriptions of different sound semantics and completeness problem --- even for these seemingly simple questions we have our hands full. The major part of the presented material has never been published before. Some results are very recent, and for other results we either give new proofs or first proofs in full detail.

An Introduction to Non-Classical Logic

An Introduction to Non-Classical Logic
  • Author : Graham Priest
  • Publisher :Unknown
  • Release Date :2008-04-10
  • Total pages :229
  • ISBN : 1139469673
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Summary : This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

Structural Analysis of Non-Classical Logics

Structural Analysis of Non-Classical Logics
  • Author : Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin
  • Publisher :Unknown
  • Release Date :2015-10-16
  • Total pages :278
  • ISBN : 9783662483572
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Summary : 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

Labelled Non-Classical Logics
  • Author : Luca Viganò
  • Publisher :Unknown
  • Release Date :2013-04-17
  • Total pages :292
  • ISBN : 9781475732085
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Summary : 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.

Routledge Encyclopedia of Philosophy: Nihilism to quantum mechanics

Routledge Encyclopedia of Philosophy: Nihilism to quantum mechanics
  • Author : Edward Craig
  • Publisher :Unknown
  • Release Date :1998
  • Total pages :895
  • ISBN : 0415187125
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Summary : Review: "Depth and breadth of coverage, clarity of presentation, impressive bibliographies, excellent use of cross references, and an extensive index combine to make this an impressive reference work. The contributors have addressed both current and past scholarship on world philosophy and religion and have produced a worthy successor to Macmillan's 1967 Encyclopedia of Philosophy. It will be read and understood by the educated public as well as scholars and will be a fine addition to academic and large public library reference collections."--"Outstanding Reference Sources : the 1999 Selection Sources Committee, RUSA, ALA.

ECAI 2020

ECAI 2020
  • Author : G. De Giacomo,A. Catala,B. Dilkina
  • Publisher :Unknown
  • Release Date :2020-09-11
  • Total pages :3122
  • ISBN : 9781643681016
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Summary : This book presents the proceedings of the 24th European Conference on Artificial Intelligence (ECAI 2020), held in Santiago de Compostela, Spain, from 29 August to 8 September 2020. The conference was postponed from June, and much of it conducted online due to the COVID-19 restrictions. The conference is one of the principal occasions for researchers and practitioners of AI to meet and discuss the latest trends and challenges in all fields of AI and to demonstrate innovative applications and uses of advanced AI technology. The book also includes the proceedings of the 10th Conference on Prestigious Applications of Artificial Intelligence (PAIS 2020) held at the same time. A record number of more than 1,700 submissions was received for ECAI 2020, of which 1,443 were reviewed. Of these, 361 full-papers and 36 highlight papers were accepted (an acceptance rate of 25% for full-papers and 45% for highlight papers). The book is divided into three sections: ECAI full papers; ECAI highlight papers; and PAIS papers. The topics of these papers cover all aspects of AI, including Agent-based and Multi-agent Systems; Computational Intelligence; Constraints and Satisfiability; Games and Virtual Environments; Heuristic Search; Human Aspects in AI; Information Retrieval and Filtering; Knowledge Representation and Reasoning; Machine Learning; Multidisciplinary Topics and Applications; Natural Language Processing; Planning and Scheduling; Robotics; Safe, Explainable, and Trustworthy AI; Semantic Technologies; Uncertainty in AI; and Vision. The book will be of interest to all those whose work involves the use of AI technology.

First-Order Modal Logic

First-Order Modal Logic
  • Author : M. Fitting,Richard L. Mendelsohn
  • Publisher :Unknown
  • Release Date :1998
  • Total pages :287
  • ISBN : 0792353358
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Summary : This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.

Journal of Applied Non-classical Logics

Journal of Applied Non-classical Logics
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2008
  • Total pages :229
  • ISBN : UOM:39015081659248
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Summary :

Logic: The Basics

Logic: The Basics
  • Author : Jc Beall,Shay Allen Logan
  • Publisher :Unknown
  • Release Date :2017-04-20
  • Total pages :288
  • ISBN : 9781317528609
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Summary : Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: · mathematical preliminaries · propositional logic · quantified logic (first monadic, then polyadic) · English and standard ‘symbolic translations’ · tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical logics, free logics, and modal logics, and gives the reader an idea of how they can take their knowledge further. With its wealth of exercises (solutions available in the encyclopedic online supplement), Logic: The Basics is a useful textbook for courses ranging from the introductory level to the early graduate level, and also as a reference for students and researchers in philosophical logic.

Ω-Bibliography of Mathematical Logic

Ω-Bibliography of Mathematical Logic
  • Author : Wolfgang Rautenberg
  • Publisher :Unknown
  • Release Date :1987-06-01
  • Total pages :469
  • ISBN : 354015521X
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Summary : Gert H. Muller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg II. Non-classical Logics W. Rautenberg III. Model Theory H. -D. Ebbinghaus IV. Recursion Theory P. G. Hinman V. Set Theory A. R. Blass VI. Proof Theory; Constructive Mathematics J. E. Kister; D. van Dalen & A. S. Troelstra.

Philosophical Logic

Philosophical Logic
  • Author : John P. Burgess
  • Publisher :Unknown
  • Release Date :2012-08-26
  • Total pages :168
  • ISBN : 9780691156330
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Summary : Philosophical Logic is a clear and concise critical survey of nonclassical logics of philosophical interest written by one of the world's leading authorities on the subject. After giving an overview of classical logic, John Burgess introduces five central branches of nonclassical logic (temporal, modal, conditional, relevantistic, and intuitionistic), focusing on the sometimes problematic relationship between formal apparatus and intuitive motivation. Requiring minimal background and arranged to make the more technical material optional, the book offers a choice between an overview and in-depth study, and it balances the philosophical and technical aspects of the subject. The book emphasizes the relationship between models and the traditional goal of logic, the evaluation of arguments, and critically examines apparatus and assumptions that often are taken for granted. Philosophical Logic provides an unusually thorough treatment of conditional logic, unifying probabilistic and model-theoretic approaches. It underscores the variety of approaches that have been taken to relevantistic and related logics, and it stresses the problem of connecting formal systems to the motivating ideas behind intuitionistic mathematics. Each chapter ends with a brief guide to further reading. Philosophical Logic addresses students new to logic, philosophers working in other areas, and specialists in logic, providing both a sophisticated introduction and a new synthesis.

Interpolation and Definability

Interpolation and Definability
  • Author : Dov M. Gabbay,Larisa Maksimova,I. Maksimova
  • Publisher :Unknown
  • Release Date :2005-05-12
  • Total pages :508
  • ISBN : 9780198511748
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Summary : 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.

Formal Semantics and Logic

Formal Semantics and Logic
  • Author : Bas C. Van Fraassen
  • Publisher :Unknown
  • Release Date :1971
  • Total pages :225
  • ISBN : UOM:39015002338690
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Summary :

The Journal of Non-classical Logic

The Journal of Non-classical Logic
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1991
  • Total pages :229
  • ISBN : UCBK:C045006289
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Summary :

Lectures on the Curry-Howard Isomorphism

Lectures on the Curry-Howard Isomorphism
  • Author : Morten Heine Sørensen,Pawel Urzyczyn
  • Publisher :Unknown
  • Release Date :2006-07-04
  • Total pages :456
  • ISBN : 0080478921
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Summary : The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc. The isomorphism has many aspects, even at the syntactic level: formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc. But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transforms proofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq). This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic. Key features - The Curry-Howard Isomorphism treated as common theme - Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics - Thorough study of the connection between calculi and logics - Elaborate study of classical logics and control operators - Account of dialogue games for classical and intuitionistic logic - Theoretical foundations of computer-assisted reasoning · The Curry-Howard Isomorphism treated as the common theme. · Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics. · Elaborate study of classical logics and control operators. · Account of dialogue games for classical and intuitionistic logic. · Theoretical foundations of computer-assisted reasoning

Algebraic Methods in Logic and in Computer Science

Algebraic Methods in Logic and in Computer Science
  • Author : Cecylia Rauszer
  • Publisher :Unknown
  • Release Date :1993
  • Total pages :342
  • ISBN : UOM:39015050456832
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Summary :

Philosophy of Logics

Philosophy of Logics
  • Author : Susan Haack
  • Publisher :Unknown
  • Release Date :1978-07-27
  • Total pages :276
  • ISBN : 0521293294
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Summary : Publisher Description

Doubt Truth to be a Liar

Doubt Truth to be a Liar
  • Author : Graham Priest
  • Publisher :Unknown
  • Release Date :2006
  • Total pages :226
  • ISBN : 9780199263288
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Summary : "The book is required reading for anyone who wishes to understand dialetheism; (especially) for anyone who wishes to continue to endorse the old Aristotelian orthodoxy; and, more generally, for anyone who wishes to understand the role that contradiction plays in our thinking."--BOOK JACKET.

Basic Proof Theory

Basic Proof Theory
  • Author : A. S. Troelstra,H. Schwichtenberg
  • Publisher :Unknown
  • Release Date :2000-07-27
  • Total pages :417
  • ISBN : 0521779111
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Summary : Introduction to proof theory and its applications in mathematical logic, theoretical computer science and artificial intelligence.

The Bulletin of Symbolic Logic

The Bulletin of Symbolic Logic
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2009
  • Total pages :229
  • ISBN : UVA:X030757332
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Summary :

Logic for Philosophy

Logic for Philosophy
  • Author : Theodore Sider
  • Publisher :Unknown
  • Release Date :2010
  • Total pages :289
  • ISBN : 9780199575596
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Summary : 'Logic for Philosophy' is an introduction to logic for students of contemporary philosophy. It covers basic approaches to logic, as well as extensions of standard logic and the elementary philosophy of logic.