Provability, Computability and Reflection

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Publisher : Elsevier
ISBN 13 : 0080954715
Total Pages : 673 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2009-06-15 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Provability, Computability and Reflection

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Author :
Publisher : Elsevier
ISBN 13 : 9780080957531
Total Pages : 650 pages
Book Rating : 4.9/5 (575 download)

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Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Provability, Computability and Reflection

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Author :
Publisher : Elsevier Science
ISBN 13 : 9780080957258
Total Pages : 89 pages
Book Rating : 4.9/5 (572 download)

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Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier Science. This book was released on 2000-04-01 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Computability

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Publisher : MIT Press
ISBN 13 : 0262527480
Total Pages : 373 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Computability by : B. Jack Copeland

Download or read book Computability written by B. Jack Copeland and published by MIT Press. This book was released on 2015-01-30 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer scientists, mathematicians, and philosophers discuss the conceptual foundations of the notion of computability as well as recent theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the decades since, the theory of computability has moved to the center of discussions in philosophy, computer science, and cognitive science. In this volume, distinguished computer scientists, mathematicians, logicians, and philosophers consider the conceptual foundations of computability in light of our modern understanding. Some chapters focus on the pioneering work by Turing, Gödel, and Church, including the Church-Turing thesis and Gödel's response to Church's and Turing's proposals. Other chapters cover more recent technical developments, including computability over the reals, Gödel's influence on mathematical logic and on recursion theory and the impact of work by Turing and Emil Post on our theoretical understanding of online and interactive computing; and others relate computability and complexity to issues in the philosophy of mind, the philosophy of science, and the philosophy of mathematics. Contributors Scott Aaronson, Dorit Aharonov, B. Jack Copeland, Martin Davis, Solomon Feferman, Saul Kripke, Carl J. Posy, Hilary Putnam, Oron Shagrir, Stewart Shapiro, Wilfried Sieg, Robert I. Soare, Umesh V. Vazirani

Foundational Studies

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Publisher : Elsevier
ISBN 13 : 0444851038
Total Pages : 615 pages
Book Rating : 4.4/5 (448 download)

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Book Synopsis Foundational Studies by : Andrzej Mostowski

Download or read book Foundational Studies written by Andrzej Mostowski and published by Elsevier. This book was released on 1979 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection.

Logic, Language, Information, and Computation

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Publisher : Springer
ISBN 13 : 3662553864
Total Pages : 401 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Logic, Language, Information, and Computation by : Juliette Kennedy

Download or read book Logic, Language, Information, and Computation written by Juliette Kennedy and published by Springer. This book was released on 2017-07-10 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 24th Workshop on Logic, Language, Information and Communication, WoLLIC 2017, held in London, UK, in August 2017. The 28 contributed papers were carefully reviewed and selected from 61 submissions. They cover interdisciplinary research in pure and applied logic, aiming at interactions between logic and the sciences related to information and computation.

Logic, Language, and Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 3642223028
Total Pages : 373 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Logic, Language, and Computation by : Nick Bezhanishvili

Download or read book Logic, Language, and Computation written by Nick Bezhanishvili and published by Springer Science & Business Media. This book was released on 2011-07-18 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 8th International Tbilisi Symposium on Logic, Language, and Computation, TbiLLC 2009, held in Bakuriani, Georgia, in September 2009. The 20 revised full papers included in the book were carefully reviewed and selected from numerous presentations given at the symposium. The focus of the papers is on the following topics: natural language syntax, semantics, and pragmatics; constructive, modal and algebraic logic; linguistic typology and semantic universals; logics for artificial intelligence; information retrieval, query answer systems; logic, games, and formal pragmatics; language evolution and learnability; computational social choice; historical linguistics, history of logic.

Turing’s Revolution

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Publisher : Birkhäuser
ISBN 13 : 3319221566
Total Pages : 329 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Turing’s Revolution by : Giovanni Sommaruga

Download or read book Turing’s Revolution written by Giovanni Sommaruga and published by Birkhäuser. This book was released on 2016-01-21 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the confluence of ideas in Turing’s era and work and examines the impact of his work on mathematical logic and theoretical computer science. It combines contributions by well-known scientists on the history and philosophy of computability theory as well as on generalised Turing computability. By looking at the roots and at the philosophical and technical influence of Turing’s work, it is possible to gather new perspectives and new research topics which might be considered as a continuation of Turing’s working ideas well into the 21st century.

Computer Science

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Publisher : National Academies Press
ISBN 13 : 0309165636
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computer Science by : National Research Council

Download or read book Computer Science written by National Research Council and published by National Academies Press. This book was released on 2004-10-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science: Reflections on the Field, Reflections from the Field provides a concise characterization of key ideas that lie at the core of computer science (CS) research. The book offers a description of CS research recognizing the richness and diversity of the field. It brings together two dozen essays on diverse aspects of CS research, their motivation and results. By describing in accessible form computer science's intellectual character, and by conveying a sense of its vibrancy through a set of examples, the book aims to prepare readers for what the future might hold and help to inspire CS researchers in its creation.

Computability and Logic

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Publisher : Cambridge University Press
ISBN 13 : 0521877520
Total Pages : 365 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Computability and Logic by : George S. Boolos

Download or read book Computability and Logic written by George S. Boolos and published by Cambridge University Press. This book was released on 2007-09-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.

Mathematical Problems from Applied Logic II

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Publisher : Springer Science & Business Media
ISBN 13 : 0387692452
Total Pages : 377 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Mathematical Problems from Applied Logic II by : Dov Gabbay

Download or read book Mathematical Problems from Applied Logic II written by Dov Gabbay and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer Science and AI language. Coverage includes: the logic of provability, computability theory applied to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space.

Artificial and Mathematical Theory of Computation

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Publisher : Academic Press
ISBN 13 : 032314831X
Total Pages : 490 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Artificial and Mathematical Theory of Computation by : Vladimir Lifschitz

Download or read book Artificial and Mathematical Theory of Computation written by Vladimir Lifschitz and published by Academic Press. This book was released on 2012-12-02 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial and Mathematical Theory of Computation is a collection of papers that discusses the technical, historical, and philosophical problems related to artificial intelligence and the mathematical theory of computation. Papers cover the logical approach to artificial intelligence; knowledge representation and common sense reasoning; automated deduction; logic programming; nonmonotonic reasoning and circumscription. One paper suggests that the design of parallel programming languages will invariably become more sophisticated as human skill in programming and software developments improves to attain faster running programs. An example of metaprogramming to systems concerns the design and control of operations of factory devices, such as robots and numerically controlled machine tools. Metaprogramming involves two design aspects: that of the activity of a single device and that of the interaction with other devices. One paper cites the application of artificial intelligence pertaining to the project "proof checker for first-order logic" at the Stanford Artificial Intelligence Laboratory. Another paper explains why the bisection algorithm widely used in computer science does not work. This book can prove valuable to engineers and researchers of electrical, computer, and mechanical engineering, as well as, for computer programmers and designers of industrial processes.

Deduction, Computation, Experiment

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Publisher : Springer Science & Business Media
ISBN 13 : 8847007844
Total Pages : 285 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Deduction, Computation, Experiment by : Rossella Lupacchini

Download or read book Deduction, Computation, Experiment written by Rossella Lupacchini and published by Springer Science & Business Media. This book was released on 2008-09-25 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is located in a cross-disciplinary ?eld bringing together mat- matics, logic, natural science and philosophy. Re?ection on the e?ectiveness of proof brings out a number of questions that have always been latent in the informal understanding of the subject. What makes a symbolic constr- tion signi?cant? What makes an assumption reasonable? What makes a proof reliable? G ̈ odel, Church and Turing, in di?erent ways, achieve a deep und- standing of the notion of e?ective calculability involved in the nature of proof. Turing’s work in particular provides a “precise and unquestionably adequate” de?nition of the general notion of a formal system in terms of a machine with a ?nite number of parts. On the other hand, Eugene Wigner refers to the - reasonable e?ectiveness of mathematics in the natural sciences as a miracle. Where should the boundary be traced between mathematical procedures and physical processes? What is the characteristic use of a proof as a com- tation, as opposed to its use as an experiment? What does natural science tell us about the e?ectiveness of proof? What is the role of mathematical proofs in the discovery and validation of empirical theories? The papers collected in this book are intended to search for some answers, to discuss conceptual and logical issues underlying such questions and, perhaps, to call attention to other relevant questions.

Provability, Computability and Reflection

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Author :
Publisher : Elsevier Science
ISBN 13 : 9780080957449
Total Pages : 106 pages
Book Rating : 4.9/5 (574 download)

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Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier Science. This book was released on 2000-04-01 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Constructive Order Types

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Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Constructive Order Types by : John N. Crossley

Download or read book Constructive Order Types written by John N. Crossley and published by . This book was released on 1969 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection.

Provability, Computability and Reflection

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Author :
Publisher : Elsevier Science
ISBN 13 : 9780080957746
Total Pages : 337 pages
Book Rating : 4.9/5 (577 download)

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Book Synopsis Provability, Computability and Reflection by : Lev D. Beklemishev

Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier Science. This book was released on 2000-04-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Interactive Theorem Proving and Program Development

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Publisher : Springer Science & Business Media
ISBN 13 : 366207964X
Total Pages : 492 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Interactive Theorem Proving and Program Development by : Yves Bertot

Download or read book Interactive Theorem Proving and Program Development written by Yves Bertot and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.