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Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080955045
Total Pages : 323 pages
Book Rating : 4.0/5 (89 download)
Download or read book Logic Colloquium '77 written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Colloquium '77
Author : Angus Macintyre
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (44 download)
Download or read book Logic Colloquium '77 written by Angus Macintyre and published by . This book was released on 1977 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Barry Cooper
Publisher : Cambridge University Press
ISBN 13 : 0521110815
Total Pages : 384 pages
Book Rating : 4.5/5 (211 download)
Download or read book Logic Colloquium 2006 written by S. Barry Cooper and published by Cambridge University Press. This book was released on 2009 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. The most topical areas of current research are covered: valued fields, Hrushovski constructions (from model theory), algorithmic randomness, relative computability (from computability theory), strong forcing axioms and cardinal arithmetic, large cardinals and determinacy (from set theory), as well as foundational topics such as algebraic set theory, reverse mathematics, and unprovability. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.
Author : J.B. Paris
Publisher : Elsevier
ISBN 13 : 008096043X
Total Pages : 389 pages
Book Rating : 4.0/5 (89 download)
Download or read book Logic Colloquium '84 written by J.B. Paris and published by Elsevier. This book was released on 2011-10-10 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains most of the invited talks presented at the colloquium. The main topics treated are the model theory of arithmetic and algebra, the semantics of natural languages, and applications of mathematical logic to complexity theory. The volume contains both surveys by acknowledged experts and original research papers presenting advances in these disciplines.
Author : Angus Macintyre
Publisher :
ISBN 13 :
Total Pages : 311 pages
Book Rating : 4.:/5 (488 download)
Download or read book Logic Colloquium '77 written by Angus Macintyre and published by . This book was released on 1978 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Samuel R. Buss
Publisher : Cambridge University Press
ISBN 13 : 1108618480
Total Pages : 559 pages
Book Rating : 4.1/5 (86 download)
Download or read book Logic Colloquium '98 written by Samuel R. Buss and published by Cambridge University Press. This book was released on 2017-03-30 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 thirteenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic held at the University of Economics in Prague, August 9–15, 1988. It includes surveys and research from preeminent logicians. The papers in this volume range over all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy. This book will be of interest to all students and researchers in mathematical logic.
Author : S.B. Cooper
Publisher : Springer Science & Business Media
ISBN 13 : 0387685464
Total Pages : 560 pages
Book Rating : 4.3/5 (876 download)
Download or read book New Computational Paradigms written by S.B. Cooper and published by Springer Science & Business Media. This book was released on 2007-11-28 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.
Author : Artur Rojszczak
Publisher : Springer Science & Business Media
ISBN 13 : 9401726124
Total Pages : 392 pages
Book Rating : 4.4/5 (17 download)
Download or read book Philosophical Dimensions of Logic and Science written by Artur Rojszczak and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of outstanding contributed papers presented at the 11th International Congress of Logic, Methodology, and Philosophy of Science (Kraków, 1999). The articles address current issues in logic, metamathematics, philosophy of language, philosophy of science, and cognitive science, as well as philosophical problems of biology, chemistry and physics. The volume will be of interest to philosophers, logicians and scientists interested in foundational problems.
Author :
Publisher : Elsevier
ISBN 13 : 0080930662
Total Pages : 878 pages
Book Rating : 4.0/5 (89 download)
Download or read book Sets and Extensions in the Twentieth Century written by and published by Elsevier. This book was released on 2012-01-24 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights
Author : Toshiyasu Arai
Publisher : Springer Nature
ISBN 13 : 9811641730
Total Pages : 232 pages
Book Rating : 4.8/5 (116 download)
Download or read book Advances in Mathematical Logic written by Toshiyasu Arai and published by Springer Nature. This book was released on 2022-01-24 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gaisi Takeuti was one of the most brilliant, genius, and influential logicians of the 20th century. He was a long-time professor and professor emeritus of mathematics at the University of Illinois at Urbana-Champaign, USA, before he passed away on May 10, 2017, at the age of 91. Takeuti was one of the founders of Proof Theory, a branch of mathematical logic that originated from Hilbert's program about the consistency of mathematics. Based on Gentzen's pioneering works of proof theory in the 1930s, he proposed a conjecture in 1953 concerning the essential nature of formal proofs of higher-order logic now known as Takeuti's fundamental conjecture and of which he gave a partial positive solution. His arguments on the conjecture and proof theory in general have had great influence on the later developments of mathematical logic, philosophy of mathematics, and applications of mathematical logic to theoretical computer science. Takeuti's work ranged over the whole spectrum of mathematical logic, including set theory, computability theory, Boolean valued analysis, fuzzy logic, bounded arithmetic, and theoretical computer science. He wrote many monographs and textbooks both in English and in Japanese, and his monumental monograph Proof Theory, published in 1975, has long been a standard reference of proof theory. He had a wide range of interests covering virtually all areas of mathematics and extending to physics. His publications include many Japanese books for students and general readers about mathematical logic, mathematics in general, and connections between mathematics and physics, as well as many essays for Japanese science magazines. This volume is a collection of papers based on the Symposium on Advances in Mathematical Logic 2018. The symposium was held September 18–20, 2018, at Kobe University, Japan, and was dedicated to the memory of Professor Gaisi Takeuti.
Author : Sergei Artemov
Publisher : Springer
ISBN 13 : 3540727345
Total Pages : 522 pages
Book Rating : 4.5/5 (47 download)
Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer. This book was released on 2007-06-30 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2007, held in New York, NY, USA in June 2007. The volume presents 36 revised refereed papers that address all current aspects of logic in computer science.
Author : Giovanni Sommaruga
Publisher : Springer Science & Business Media
ISBN 13 : 9401593930
Total Pages : 377 pages
Book Rating : 4.4/5 (15 download)
Download or read book History and Philosophy of Constructive Type Theory written by Giovanni Sommaruga and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of Martin-Löf's constructive type theory, considerable parts of which have only been presented by Martin-Löf in lecture form or as part of conference talks. Sommaruga surveys the prehistory of type theory and its highly complex development through eight different stages from 1970 to 1995. He also provides a systematic presentation of the latest version of the theory, as offered by Martin-Löf at Leiden University in Fall 1993. This presentation gives a fuller and updated account of the system. Earlier, brief presentations took no account of the issues related to the type-theoretical approach to logic and the foundations of mathematics, while here they are accorded an entire part of the book. Readership: Comprehensive accounts of the history and philosophy of constructive type theory and a considerable amount of related material. Readers need a solid background in standard logic and a first, basic acquaintance with type theory.
Author : J. Barwise
Publisher : Cambridge University Press
ISBN 13 : 1107168252
Total Pages : 912 pages
Book Rating : 4.1/5 (71 download)
Download or read book Model-Theoretic Logics written by J. Barwise and published by Cambridge University Press. This book was released on 2017-03-02 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together several directions of work in model theory between the late 1950s and early 1980s.
Author : Petr Hájek
Publisher : Cambridge University Press
ISBN 13 : 1316739309
Total Pages : 332 pages
Book Rating : 4.3/5 (167 download)
Download or read book Gödel '96 written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 sixth publication in the Lecture Notes in Logic series, collects the proceedings of the conference 'Logical Foundations of Mathematics, Computer Science, and Physics - Kurt Gödel's Legacy', held in Brno, Czech Republic, on the 90th anniversary of Gödel's birth. The broad range of speakers who participated in this event affirms the continuing importance of Gödel's work in logic, physics, and the philosophy and foundations of mathematics and computer science. The papers in this volume range over all these topics and contribute to our present understanding of them.
Author : David Marker
Publisher : Cambridge University Press
ISBN 13 : 1316858081
Total Pages : 192 pages
Book Rating : 4.3/5 (168 download)
Download or read book Lectures on Infinitary Model Theory written by David Marker and published by Cambridge University Press. This book was released on 2016-10-27 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set theory. This book is the first modern introduction to the subject in forty years, and will bring students and researchers in all areas of mathematical logic up to the threshold of modern research. The classical topics of back-and-forth systems, model existence techniques, indiscernibles and end extensions are covered before more modern topics are surveyed. Zilber's categoricity theorem for quasiminimal excellent classes is proved and an application is given to covers of multiplicative groups. Infinitary methods are also used to study uncountable models of counterexamples to Vaught's conjecture, and effective aspects of infinitary model theory are reviewed, including an introduction to Montalbán's recent work on spectra of Vaught counterexamples. Self-contained introductions to effective descriptive set theory and hyperarithmetic theory are provided, as is an appendix on admissible model theory.
Author : Laura Crosilla
Publisher : Oxford University Press
ISBN 13 : 0198566514
Total Pages : 371 pages
Book Rating : 4.1/5 (985 download)
Download or read book From Sets and Types to Topology and Analysis written by Laura Crosilla and published by Oxford University Press. This book was released on 2005-10-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging the foundations and practice of constructive mathematics, this text focusses on the contrast between the theoretical developments - which have been most useful for computer science - and more specific efforts on constructive analysis, algebra and topology.
Author : Michal Krynicki
Publisher : Springer Science & Business Media
ISBN 13 : 9401705240
Total Pages : 282 pages
Book Rating : 4.4/5 (17 download)
Download or read book Quantifiers: Logics, Models and Computation written by Michal Krynicki and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of research papers centered around the concept of quantifier. Recently this concept has become the central point of research in logic. It is one of the important logical concepts whose exact domain and applications have so far been insufficiently explored, especially in the area of inferential and semantic properties of languages. It should thus remain the central point of research in the future. Moreover, during the last twenty years generalized quantifiers and logical technics based on them have proved their utility in various applications. The example of natu rallanguage semantics has been partcularly striking. For a long time it has been belived that elementary logic also called first-order logic was an ade quate theory of logical forms of natural language sentences. Recently it has been accepted that semantics of many natural language constructions can not be properly represented in elementary logic. It has turned out, however, that they can be described by means of generalized quantifiers. As far as computational applications oflogic are concerned, particulary interesting are semantics restricted to finite models. Under this restriction elementary logic looses several of its advantages such as axiomatizability and compactness. And for various purposes we can use equally well some semantically richer languages of which generalized quantifiers offer the most universal methods of describing extensions of elementary logic. Moreover we can look at generalized quantifiers as an explication of some specific mathematical concepts, e. g.
