Advances in Linear Logic

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Publisher : Cambridge University Press
ISBN 13 : 0521559618
Total Pages : 401 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Advances in Linear Logic by : Jean-Yves Girard

Download or read book Advances in Linear Logic written by Jean-Yves Girard and published by Cambridge University Press. This book was released on 1995-06-22 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear logic, introduced in 1986 by J.-Y. Girard, is based upon a fine grain analysis of the main proof-theoretical notions of logic. The subject develops along the lines of denotational semantics, proof nets and the geometry of interaction. Its basic dynamical nature has attracted computer scientists, and various promising connections have been made in the areas of optimal program execution, interaction nets and knowledge representation. This book is the refereed proceedings of the first international meeting on linear logic held at Cornell University, in June 1993. Survey papers devoted to specific areas of linear logic, as well as an extensive general introduction to the subject by J.-Y. Girard, have been added, so as to make this book a valuable tool both for the beginner and for the advanced researcher.

Linear Logic in Computer Science

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Publisher : Cambridge University Press
ISBN 13 : 0521608570
Total Pages : 393 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Linear Logic in Computer Science by : Thomas Ehrhard

Download or read book Linear Logic in Computer Science written by Thomas Ehrhard and published by Cambridge University Press. This book was released on 2004-11-15 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates linear logic in the application of proof theory to computer science.

Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

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Publisher : Springer Nature
ISBN 13 : 3030539296
Total Pages : 285 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics by : Said Melliani

Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics written by Said Melliani and published by Springer Nature. This book was released on 2020-10-12 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.

The Blind Spot

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Publisher : European Mathematical Society
ISBN 13 : 9783037190883
Total Pages : 554 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis The Blind Spot by : Jean-Yves Girard

Download or read book The Blind Spot written by Jean-Yves Girard and published by European Mathematical Society. This book was released on 2011 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures on logic, more specifically proof theory, are basically intended for postgraduate students and researchers in logic. The question at stake is the nature of mathematical knowledge and the difference between a question and an answer, i.e., the implicit and the explicit. The problem is delicate mathematically and philosophically as well: the relation between a question and its answer is a sort of equality where one side is ``more equal than the other'': one thus discovers essentialist blind spots. Starting with Godel's paradox (1931)--so to speak, the incompleteness of answers with respect to questions--the book proceeds with paradigms inherited from Gentzen's cut-elimination (1935). Various settings are studied: sequent calculus, natural deduction, lambda calculi, category-theoretic composition, up to geometry of interaction (GoI), all devoted to explicitation, which eventually amounts to inverting an operator in a von Neumann algebra. Mathematical language is usually described as referring to a preexisting reality. Logical operations can be given an alternative procedural meaning: typically, the operators involved in GoI are invertible, not because they are constructed according to the book, but because logical rules are those ensuring invertibility. Similarly, the durability of truth should not be taken for granted: one should distinguish between imperfect (perennial) and perfect modes. The procedural explanation of the infinite thus identifies it with the unfinished, i.e., the perennial. But is perenniality perennial? This questioning yields a possible logical explanation for algorithmic complexity. This highly original course on logic by one of the world's leading proof theorists challenges mathematicians, computer scientists, physicists, and philosophers to rethink their views and concepts on the nature of mathematical knowledge in an exceptionally profound way.

Advances in Proof-Theoretic Semantics

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Publisher : Springer
ISBN 13 : 331922686X
Total Pages : 283 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Advances in Proof-Theoretic Semantics by : Thomas Piecha

Download or read book Advances in Proof-Theoretic Semantics written by Thomas Piecha and published by Springer. This book was released on 2015-10-24 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.

Computer Science Logic

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Publisher : Springer
ISBN 13 : 3540457933
Total Pages : 628 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computer Science Logic by : Julian Bradfield

Download or read book Computer Science Logic written by Julian Bradfield and published by Springer. This book was released on 2003-08-02 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Annual Conference of the European Association for Computer Science Logic, CSL 2002, was held in the Old College of the University of Edinburgh on 22–25 September 2002. The conference series started as a programme of Int- national Workshops on Computer Science Logic, and then in its sixth meeting became the Annual Conference of the EACSL. This conference was the sixteenth meeting and eleventh EACSL conference; it was organized by the Laboratory for Foundations of Computer Science at the University of Edinburgh. The CSL 2002 Programme Committee considered 111 submissions from 28 countries during a two week electronic discussion; each paper was refereed by at least three reviewers. The Committee selected 37 papers for presentation at the conference and publication in these proceedings. The Programme Committee invited lectures from Susumu Hayashi, Frank Neven, and Damian Niwinski; ́ the papers provided by the invited speakers appear at the front of this volume. In addition to the main conference, two tutorials – ‘Introduction to Mu- Calculi’ (Julian Brad?eld) and ‘Parametrized Complexity’ (Martin Grohe) – were given on the previous day.

Advances in Computational and Stochastic Optimization, Logic Programming, and Heuristic Search

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792380788
Total Pages : 326 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Advances in Computational and Stochastic Optimization, Logic Programming, and Heuristic Search by : David L. Woodruff

Download or read book Advances in Computational and Stochastic Optimization, Logic Programming, and Heuristic Search written by David L. Woodruff and published by Springer Science & Business Media. This book was released on 1997-12-31 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Operations Research continue to have a synergistic relationship and this book - as a part of the Operations Research and Computer Science Interface Series - sits squarely in the center of the confluence of these two technical research communities. The research presented in the volume is evidence of the expanding frontiers of these two intersecting disciplines and provides researchers and practitioners with new work in the areas of logic programming, stochastic optimization, heuristic search and post-solution analysis for integer programs. The chapter topics span the spectrum of application level. Some of the chapters are highly applied and others represent work in which the application potential is only beginning. In addition, each chapter contains expository material and reviews of the literature designed to enhance the participation of the reader in this expanding interface.

Advances in Modal Logic

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Publisher :
ISBN 13 : 9781575862712
Total Pages : 457 pages
Book Rating : 4.8/5 (627 download)

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Book Synopsis Advances in Modal Logic by :

Download or read book Advances in Modal Logic written by and published by . This book was released on 1998 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic and Scientific Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 9401704872
Total Pages : 528 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Logic and Scientific Methods by : Maria Luisa Dalla Chiara

Download or read book Logic and Scientific Methods written by Maria Luisa Dalla Chiara and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes comprising the papers submitted for publication by the invited participants to the Tenth International Congress of Logic, Methodology and Philosophy of Science, held in Florence, August 1995. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited lectures published in the two volumes demonstrate much of what goes on in the fields of the Congress and give the state of the art of current research. The two volumes cover the traditional subdisciplines of mathematical logic and philosophical logic, as well as their interfaces with computer science, linguistics and philosophy. Philosophy of science is broadly represented, too, including general issues of natural sciences, social sciences and humanities. The papers in Volume One are concerned with logic, mathematical logic, the philosophy of logic and mathematics, and computer science.

Computational Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540645894
Total Pages : 464 pages
Book Rating : 4.6/5 (458 download)

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Book Synopsis Computational Logic by : Ulrich Berger

Download or read book Computational Logic written by Ulrich Berger and published by Springer Science & Business Media. This book was released on 1999-04-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute on Computational Logic, held in Marktoberdorf, Germany, July 29 - August 10, 1997

Justification Logic

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Publisher : Cambridge University Press
ISBN 13 : 1108424910
Total Pages : 271 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Justification Logic by : Sergei Artemov

Download or read book Justification Logic written by Sergei Artemov and published by Cambridge University Press. This book was released on 2019-05-02 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.

Proof Theory

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Publisher : CRC Press
ISBN 13 : 1466564660
Total Pages : 388 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Proof Theory by : Katalin Bimbo

Download or read book Proof Theory written by Katalin Bimbo and published by CRC Press. This book was released on 2014-08-20 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi for various non-classical logics, from intuitionistic logic to relevance logic, linear logic, and modal logic. In the first chapters, the author emphasizes classical logic and a variety of different sequent calculi for classical and intuitionistic logics. She then presents other non-classical logics and meta-logical results, including decidability results obtained specifically using sequent calculus formalizations of logics. The book is suitable for a wide audience and can be used in advanced undergraduate or graduate courses. Computer scientists will discover intriguing connections between sequent calculi and resolution as well as between sequent calculi and typed systems. Those interested in the constructive approach will find formalizations of intuitionistic logic and two calculi for linear logic. Mathematicians and philosophers will welcome the treatment of a range of variations on calculi for classical logic. Philosophical logicians will be interested in the calculi for relevance logics while linguists will appreciate the detailed presentation of Lambek calculi and their extensions.

Logic, Sets, and Recursion

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Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763737849
Total Pages : 536 pages
Book Rating : 4.7/5 (378 download)

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Book Synopsis Logic, Sets, and Recursion by : Robert L. Causey

Download or read book Logic, Sets, and Recursion written by Robert L. Causey and published by Jones & Bartlett Learning. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text."--Jacket.

Logic for Concurrency and Synchronisation

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Publisher : Springer Science & Business Media
ISBN 13 : 0306480883
Total Pages : 285 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Logic for Concurrency and Synchronisation by : R.J. De Queiroz

Download or read book Logic for Concurrency and Synchronisation written by R.J. De Queiroz and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for researchers in computer science, mathematical logic, and philosophical logic. It shows the state of the art in current investigations of process calculi with mainly two major paradigms at work: linear logic and modal logic. The combination of approaches and pointers for further integration also suggests a grander vision for the field.

Computer Science Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 3540454586
Total Pages : 639 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computer Science Logic by : European Association for Computer Science Logic. Conference

Download or read book Computer Science Logic written by European Association for Computer Science Logic. Conference and published by Springer Science & Business Media. This book was released on 2006-09-20 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006, held as the 15th Annual Conference of the EACSL in Szeged, Hungary in September 2006. The 37 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 132 submissions. All current aspects of logic in computer science are addressed, including automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification of security protocols, linear logic, higher-order logic, nonmonotonic reasoning, as well as logics and type systems for biology.

Computer Science Logic

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Publisher : Springer
ISBN 13 : 3540454594
Total Pages : 627 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computer Science Logic by : Zoltán Ésik

Download or read book Computer Science Logic written by Zoltán Ésik and published by Springer. This book was released on 2006-09-28 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006. The book presents 37 revised full papers together with 4 invited contributions, addressing all current aspects of logic in computer science. Coverage includes automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, finite model theory, and more.

Lectures on Linear Logic

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Publisher :
ISBN 13 :
Total Pages : 215 pages
Book Rating : 4.:/5 (947 download)

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Book Synopsis Lectures on Linear Logic by : A. S. Troelstra

Download or read book Lectures on Linear Logic written by A. S. Troelstra and published by . This book was released on 2000 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: