Advances in Modal Logic

Advances in Modal Logic

In A New Introduction to Modal Logic. Routledge, London. Kracht, Marcus. 1999. Tools and Techniques in Modal Logic. Studies in Logic and the Foundations of Mathematics, Vol. 142, Elsevier Science Ltd., Amsterdam.

Author: Frank Wolter

Publisher: World Scientific

ISBN: 9789814487368

Category: Computers

Page: 424

View: 667

Advances in Modal Logic is a unique forum for presenting the latest results and new directions of research in modal logic. The topics dealt with are of interdisciplinary interest and range from mathematical, computational, and philosophical problems to applications in knowledge representation and formal linguistics. Volume 3 presents substantial advances in the relational model theory and the algorithmic treatment of modal logics. It contains invited and contributed papers from the third conference on “Advances in Modal Logic”, held at the University of Leipzig (Germany) in October 2000. It includes papers on dynamic logic, description logic, hybrid logic, epistemic logic, combinations of modal logics, tense logic, action logic, provability logic, and modal predicate logic. Contents:From Description to Hybrid Logics, and Back (C Areces & M de Rijke)Homophonic Theory of Truth for Tense Logic (Torben Braüner)Weak Necessity on Weak Kleene Matrices (F Correia)Bimodal Logics for Reasoning About Continuous Dynamics (J M Davoren & R P Goré)From Bisimulation Quantifiers to Classifying Toposes (S Ghilardi & M Zawadowski)Normal Products of Modal Logics (Y Hasimoto)A Tableau Algorithm for the Clique Guarded Fragment (C Hirsch & S Tobies)The Complexity of Reasoning with Boolean Modal Logics (C Lutz & U Sattler)Outline of a Logic of Action (K Segerberg)Belief, Names, and Modes of Presentation (R Ye & M Fitting)and other papers Readership: Researchers and advanced students in mathematical logic, philosophical logic, computer science logic, artificial intelligence and formal linguistics. Keywords:Modal Logics;Description Logics;Semantic Processing Homophonic Theory;Algorithmic Correspondence Theory
Categories: Computers

Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods

Handbook of Philosophical Logic: Volume II: Extensions of Classical Logic, vol. 165, pp. 497–604. ... In: Tools and Techniques in Modal Logic, volume 142 of Studies in Logic and the Foundations of Mathematics, pp. 497–533.

Author: Serenella Cerrito

Publisher: Springer Nature

ISBN: 9783030290269

Category: Computers

Page: 477

View: 525

This book constitutes the proceedings of the 28th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2019, held in London, UK, in September 2019, colocated with the 12th International Symposium on Frontiers on Combining Systems, FroCoS 2019. The 25 full papers presented were carefully reviewed and selected from 43 submissions.They present research on all aspects of the mechanization of tableaux-based reasoning and related methods, including theoretical foundations, implementation techniques, systems development and applications. The papers are organized in the following topical sections: tableau calculi, sequent calculi, semantics and combinatorial proofs, non-wellfounded proof systems, automated theorem provers, and logics for program or system verification.
Categories: Computers

Advances in Modal Logic

Advances in Modal Logic

Free Logics. In Handbook of Philosophical Logic, Volume III: Alternatives to Classical Logic, ed. ... Tools and Techniques in Modal Logic. Studies in Logic and the Foundations of Mathematics, Vol. 142, Elsevier Science Ltd., Amsterdam.

Author: Frank Wolter

Publisher: World Scientific

ISBN: 9789812776471

Category: Modality

Page: 424

View: 436

Advances in Modal Logic is a unique forum for presenting the latest results and new directions of research in modal logic. The topics dealt with are of interdisciplinary interest and range from mathematical, computational, and philosophical problems to applications in knowledge representation and formal linguistics.Volume 3 presents substantial advances in the relational model theory and the algorithmic treatment of modal logics. It contains invited and contributed papers from the third conference on OC Advances in Modal LogicOCO, held at the University of Leipzig (Germany) in October 2000. It includes papers on dynamic logic, description logic, hybrid logic, epistemic logic, combinations of modal logics, tense logic, action logic, provability logic, and modal predicate logic."
Categories: Modality

Handbook of Philosophical Logic

Handbook of Philosophical Logic

Simulation and transfer results in modal logic – a survey. Studia Logica, 59(2):149–177, 1997. [Kracht, 1999] M. Kracht. Tools and techniques in modal logic, volume 142 of Studies in Logic and the Foundations of Mathematics.

Author: D.M. Gabbay

Publisher: Springer Science & Business Media

ISBN: 9781402035210

Category: Philosophy

Page: 370

View: 629

The ninth volume of the Second Edition contains major contributions on Rewriting Logic as a Logical and Semantic Framework, Logical Frameworks, Proof Theory and Meaning, Goal Directed Deductions, Negations, Completeness and Consistency as well as Logic as General Rationality. Audience: Students and researchers whose work or interests involve philosophical logic and its applications.
Categories: Philosophy

Logic and the Modalities in the Twentieth Century

Logic and the Modalities in the Twentieth Century

In E. Clarke and D. Kozen, editors, Logics of Programs. Proceedings 1983, volume 164 of Lecture Notes in Computer Science, pages 313–325. Springer-Verlag, 1984. ... Tools and Techniques in Modal Logic, volume 142 of Studies in Logic.

Author: Dov M. Gabbay

Publisher: Elsevier

ISBN: 0080463037

Category: Mathematics

Page: 732

View: 306

Logic and the Modalities in the Twentieth Century is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and artificial intelligence, linguistics, cognitive science, argumentation theory, philosophy, and the history of ideas. This volume is number seven in the eleven volume Handbook of the History of Logic. It concentrates on the development of modal logic in the 20th century, one of the most important undertakings in logic’s long history. Written by the leading researchers and scholars in the field, the volume explores the logics of necessity and possibility, knowledge and belief, obligation and permission, time, tense and change, relevance, and more. Both this volume and the Handbook as a whole are definitive reference tools for students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, artificial intelligence, for whom the historical background of his or her work is a salient consideration. · Detailed and comprehensive chapters covering the entire range of modal logic. · Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic.
Categories: Mathematics

Intensionality

Intensionality

[2] Max J. Cresswell, How to complete some modal predicate logics, Advances in Modal Logic. Volume 2 (Michael ... [9] Marcus Kracht, Tools and Techniques in Modal Logic, Studies in Logic and the Foundations of Mathematics, vol. 142 ...

Author: Reinhard Kähle

Publisher: Cambridge University Press

ISBN: 9781108634007

Category: Mathematics

Page:

View: 246

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the twenty-second publication in the Lecture Notes in Logic series, will launch a discussion about the concept of intensionality in philosophy, logic, linguistics and mathematics. These articles grew out of a workshop held at the University of Munich in October, 2000. Some articles address philosophical issues raised by the possible worlds approach to intensionality; others are devoted to technical aspects of modal logic. The volume highlights the particular interdisciplinary nature of intensionality with articles spanning philosophy, linguistics, mathematics and computer science.
Categories: Mathematics

Leo Esakia on Duality in Modal and Intuitionistic Logics

Leo Esakia on Duality in Modal and Intuitionistic Logics

I Amer J Math 73:891–939 Kracht M (1999) Tools and techniques in modal logic. Studies in logic and the foundations of mathematics, vol 142. North-Holland Publishing Co., Amsterdam Chapter 4 Easkia Duality and Its Extensions Sergio A.

Author: Guram Bezhanishvili

Publisher: Springer

ISBN: 9789401788601

Category: Philosophy

Page: 334

View: 231

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.
Categories: Philosophy

Dynamic Epistemic Logic

Dynamic Epistemic Logic

Tools and techniques in modal logic, volume 142 of Studies in logic and the foundations of mathematics. Elsevier, Amsterdam, 1999. 119. S. Kraus and D. Lehmann. Knowledge, belief and time. Theoretical Computer Science, 58:155–174, 1988.

Author: Hans van Ditmarsch

Publisher: Springer Science & Business Media

ISBN: 9781402058394

Category: Philosophy

Page: 296

View: 982

Dynamic Epistemic Logic is the logic of knowledge change. This book provides various logics to support such formal specifications, including proof systems. Concrete examples and epistemic puzzles enliven the exposition. The book also offers exercises with answers. It is suitable for graduate courses in logic. Many examples, exercises, and thorough completeness proofs and expressivity results are included. A companion web page offers slides for lecturers and exams for further practice.
Categories: Philosophy

Handbook of Modal Logic

Handbook of Modal Logic

A description logic with transitive and inverse roles and role hierarchies. Journal of Logic and Computation, ... Tools and Techniques in Modal Logic, volume 142 of Studies in Logic and the Foundations of Mathematics. Elsevier, 1999.

Author: Patrick Blackburn

Publisher: Elsevier

ISBN: 0080466664

Category: Mathematics

Page: 1260

View: 894

The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth
Categories: Mathematics

Categorical Logic and Type Theory

Categorical Logic and Type Theory

AND THE FOUNDATIONS OF MATHEMATICS Other Volumes in the Series Volume 121 : Constructivism in Mathematics : Volume 1 ... Volume 141 : Categorical Logic and Type Theory ( 1999 ) B. Jacobs Volume 142 : Tools and Techniques in Modal Logic ...

Author: B. Jacobs

Publisher: Gulf Professional Publishing

ISBN: 0444508538

Category: Mathematics

Page: 760

View: 840

This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.
Categories: Mathematics

Relation Algebras by Games

Relation Algebras by Games

S T U DI ES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS Previous Volumes in the Series Volume 130 : Language in Action ... Volume 141 : Categorial Logic and Type Theory ( 1999 ) B. Jacobs Volume 142 : Tools and Techniques in Modal Logic ...

Author: Robin Hirsch

Publisher: Gulf Professional Publishing

ISBN: 0444509321

Category: Mathematics

Page: 691

View: 760

In part 2, games are introduced, and used to axiomatise various classes of algebras. Part 3 discusses approximations to representability, using bases, relation algebra reducts, and relativised representations. Part 4 presents some constructions of relation algebras, including Monk algebras and the 'rainbow construction', and uses them to show that various classes of representable algebras are non-finitely axiomatisable or even non-elementary. Part 5 shows that the representability problem for finite relation algebras is undecidable, and then in contrast proves some finite base property results. Part 6 contains a condensed summary of the book, and a list of problems. There are more than 400 exercises. P The book is generally self-contained on relation algebras and on games, and introductory text is scattered throughout. Some familiarity with elementary aspects of first-order logic and set theory is assumed, though many of the definitions are given.-
Categories: Mathematics

Tools and Techniques in Modal Logic

Tools and Techniques in Modal Logic

AND THE FOUNDATIONS OF MATHEMATICS VOLUME 142 S. ABRAMSKY / S . ARTEMOV / R.A. SHORE / A.S. TROELSTRA EDITORS Tools and Techniques in Modal Logic M. KRACHT ELSEVIER AMSTERDAM - LAUSANNE - NEW YORK • OXFORD • SHANNON • SINGAPORE • TOKYO ...

Author: M. Kracht

Publisher: North Holland

ISBN: STANFORD:36105024882297

Category: Mathematics

Page: 559

View: 764

This book treats modal logic as a theory, with several subtheories, such as completeness theory, correspondence theory, duality theory and transfer theory and is intended as a course in modal logic for students who have had prior contact with modal logic and who wish to study it more deeply. It presupposes training in mathematical or logic. Very little specific knowledge is presupposed, most results which are needed are proved in this book.
Categories: Mathematics

The Bulletin of Symbolic Logic

The Bulletin of Symbolic Logic

14, World Scientific, 1997, 272 pages, ISBN 981-02-2850-3, $38) WWW: http://www. worldscientif ic . com. Tools and Techniques in Modal Logic. Author: Marcus Kracht. (Studies in Logic. Vol. 142, Elsevier Science Publishers, Amsterdam, ...

Author:

Publisher:

ISBN: UOM:39015049391207

Category: Electronic journals

Page: 26

View: 818

Categories: Electronic journals

Modal Logic

Modal Logic

Tense Logic and the Theory of Linear Order . PhD thesis , University of ... Specifying Message Passing and Time - Critical Systems with Temporal Logic , volume 651 of LNCS . ... Tools and Techniques in Modal Logic . Number 142 in ...

Author: Patrick Blackburn

Publisher: Cambridge University Press

ISBN: 0521527147

Category: Computers

Page: 554

View: 869

A 2001 graduate text on modal logic, a field which has caught the attention of computer scientists, economists and computational linguists.
Categories: Computers

Philosophy of Logic

Philosophy of Logic

In Frank Wolter, Heinrich Wansing, Maarten de Rijke, and Michael Zakharyaschev, editors, Advances in Modal Logic. Volume 3. World Scientific Publishing Company, ... Tools and Techniques in Modal Logic. Number 142 in Studies in Logic.

Author:

Publisher: Elsevier

ISBN: 008046663X

Category: Mathematics

Page: 1218

View: 115

The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter
Categories: Mathematics

Journal of Applied Non classical Logics

Journal of Applied Non classical Logics

[ KOU 99 ] KOUTRAS C. D. , KOLETSOS G. , Zachos S. , “ Many - Valued Modal NonMonotonic Reasoning : Sequential Stable Sets and Logics with Linear Truth Spaces ” , Fundamenta Informaticae ... Tools and Techniques in Modal Logic , vol . 142 ...

Author:

Publisher:

ISBN: UOM:39015068700569

Category: Logic

Page:

View: 787

Categories: Logic

Classical Recursion Theory Volume II

Classical Recursion Theory  Volume II

STUDIES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS Previous Volumes in the Series Volume 125 : Classical Recursion ... Type Theory ( 1999 ) B. Jacobs Volume 142 : Tools and Techniques in Modal Logic ( 1999 ) M. Kracht NH NORTH HOLLAND.

Author: P. Odifreddi

Publisher: North Holland

ISBN: UOM:39015053488618

Category: Mathematics

Page: 949

View: 857

This second volume of the study of classical recursion theory describes the universe from a local (bottom-up or synthetical) point of view, and covers the whole spectrum, from the recursive to the arithmetical sets. The text ends with a treatment of the enumeration degrees.
Categories: Mathematics

Bulletin of the Section of Logic

Bulletin of the Section of Logic

[ 2 ] T. Kowalski , Varieties of tense algebras , Reports on Mathematical Logic 32 ( 1998 ) , pp . 53-95 . [ 3 ] M. Kracht , Tools and Techniques in Modal Logic , Studies in Logic and the Foundations of Mathematics vol . 142 , Elsevier ...

Author:

Publisher:

ISBN: UOM:39015059044688

Category: Logic, Symbolic and mathematical

Page:

View: 872

Categories: Logic, Symbolic and mathematical

Proof Theory and Algebra in Logic

Proof Theory and Algebra in Logic

Volume 1, Mathematical Logic and Foundations 37, College Publications, 2011. Davey, B.A., and H.A. Priestley. 2002. ... Tools and Techniques in Modal Logic, Studies in Logic and the Foundations of Mathematics 142. Elsevier.

Author: Hiroakira Ono

Publisher: Springer

ISBN: 9789811379970

Category: Philosophy

Page: 160

View: 104

This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively. The importance of combining these two has been increasingly recognized in recent years. It highlights the contrasts between the deep, concrete results using the former and the general, abstract ones using the latter. Covering modal logics, many-valued logics, superintuitionistic and substructural logics, together with their algebraic semantics, the book also provides an introduction to nonclassical logic for undergraduate or graduate level courses.The book is divided into two parts: Proof Theory in Part I and Algebra in Logic in Part II. Part I presents sequent systems and discusses cut elimination and its applications in detail. It also provides simplified proof of cut elimination, making the topic more accessible. The last chapter of Part I is devoted to clarification of the classes of logics that are discussed in the second part. Part II focuses on algebraic semantics for these logics. At the same time, it is a gentle introduction to the basics of algebraic logic and universal algebra with many examples of their applications in logic. Part II can be read independently of Part I, with only minimum knowledge required, and as such is suitable as a textbook for short introductory courses on algebra in logic.
Categories: Philosophy

An Introduction to Practical Formal Methods Using Temporal Logic

An Introduction to Practical Formal Methods Using Temporal Logic

12th European Conference on Logics in Artificial Intelligence (JELIA), volume 6341 of LNCS, pages 64–76. Springer, 2010. [103] A. R. Cavalli and L. Fariñas del Cerro. A Decision Method for Linear Temporal Logic. In Proc.

Author: Michael Fisher

Publisher: John Wiley & Sons

ISBN: 1119991463

Category: Technology & Engineering

Page: 368

View: 221

The name "temporal logic" may sound complex and daunting; but while they describe potentially complex scenarios, temporal logics are often based on a few simple, and fundamental, concepts - highlighted in this book. An Introduction to Practical Formal Methods Using Temporal Logic provides an introduction to formal methods based on temporal logic, for developing and testing complex computational systems. These methods are supported by many well-developed tools, techniques and results that can be applied to a wide range of systems. Fisher begins with a full introduction to the subject, covering the basics of temporal logic and using a variety of examples, exercises and pointers to more advanced work to help clarify and illustrate the topics discussed. He goes on to describe how this logic can be used to specify a variety of computational systems, looking at issues of linking specifications, concurrency, communication and composition ability. He then analyses temporal specification techniques such as deductive verification, algorithmic verification, and direct execution to develop and verify computational systems. The final chapter on case studies analyses the potential problems that can occur in a range of engineering applications in the areas of robotics, railway signalling, hardware design, ubiquitous computing, intelligent agents, and information security, and explains how temporal logic can improve their accuracy and reliability. Models temporal notions and uses them to analyze computational systems Provides a broad approach to temporal logic across many formal methods - including specification, verification and implementation Introduces and explains freely available tools based on temporal logics and shows how these can be applied Presents exercises and pointers to further study in each chapter, as well as an accompanying website providing links to additional systems based upon temporal logic as well as additional material related to the book.
Categories: Technology & Engineering