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Author : John A. Chisholm
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (89 download)
Download or read book Effective Model Theory Vs. Recursive Model Theory written by John A. Chisholm and published by . This book was released on 1988 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 9780080533698
Total Pages : 619 pages
Book Rating : 4.5/5 (336 download)
Download or read book Recursive Model Theory written by and published by Elsevier. This book was released on 1998-11-30 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recursive Model Theory
Author : Arnold Beckmann
Publisher : Springer Science & Business Media
ISBN 13 : 3540354662
Total Pages : 623 pages
Book Rating : 4.5/5 (43 download)
Download or read book Logical Approaches to Computational Barriers written by Arnold Beckmann and published by Springer Science & Business Media. This book was released on 2006-06-26 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
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 : Peter Gärdenfors
Publisher : Springer Science & Business Media
ISBN 13 : 9781402009297
Total Pages : 414 pages
Book Rating : 4.0/5 (92 download)
Download or read book In the Scope of Logic, Methodology and Philosophy of Science written by Peter Gärdenfors and published by Springer Science & Business Media. This book was released on 2002-12-31 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes containing papers submitted by the invited speakers to the 11th International Congress of Logic, Methodology and Philosophy of Science, held in Cracow in 1999, under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited speakers are the leading researchers and accordingly the book presents the current state of the intellectual discourse in the respective fields. The papers delivered at the congress were divided into 17 sections. Thus the structure of the volume corresponds to the very schedule of the congress. Volume one contains the opening lecture by Andrzej K. Wróblewski as well as invited papers in sections of Proof Theory, Model Theory, Recursion Theory, Axiomatic Set Theory, Logic and Computation, Logic, Language and Cognition, Methodology, Probability, Induction, and Decision Theory, Philosophy of Logic, Mathematics, and Computer Science, and Philosophy of the Physical Sciences.
Author : Andrea Sorbi
Publisher : CRC Press
ISBN 13 : 0429529953
Total Pages : 384 pages
Book Rating : 4.4/5 (295 download)
Download or read book Complexity, Logic, and Recursion Theory written by Andrea Sorbi and published by CRC Press. This book was released on 2019-05-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."
Author : Robert I. Soare
Publisher : Springer Science & Business Media
ISBN 13 : 9783540152996
Total Pages : 460 pages
Book Rating : 4.1/5 (529 download)
Download or read book Recursively Enumerable Sets and Degrees written by Robert I. Soare and published by Springer Science & Business Media. This book was released on 1999-11-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: ..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988
Author : Katrin Tent
Publisher : Cambridge University Press
ISBN 13 : 052176324X
Total Pages : 259 pages
Book Rating : 4.5/5 (217 download)
Download or read book A Course in Model Theory written by Katrin Tent and published by Cambridge University Press. This book was released on 2012-03-08 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise introduction to current topics in model theory, including simple and stable theories.
Author : Mariko Yasugi
Publisher : World Scientific
ISBN 13 : 9789812705815
Total Pages : 488 pages
Book Rating : 4.7/5 (58 download)
Download or read book Proceedings of the 7th & 8th Asian Logic Conferences written by Mariko Yasugi and published by World Scientific. This book was released on 2003 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th and the 8th Asian Logic Conferences belong to the series of logic conferences inaugurated in Singapore in 1981. This meeting is held once every three years and rotates among countries in the Asia-Pacific region, with interests in the broad area of logic, including theoretical computer science. It is now considered a major conference in this field and is regularly sponsored by the Association for Symbolic Logic.This book contains papers OCo many of them surveys by leading experts OCo of both the 7th meeting (in Hsi-Tou, Taiwan) and the 8th (in Chongqing, China). The volume planned for the 7th meeting was interrupted by the earthquake in Taiwan and the decision was made to combine the two proceedings. The 8th conference is also the ICM2002 Satellite Conference on Mathematical Logic."
Author : Bakhadyr Khoussainov
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.E/5 ( download)
Download or read book Recursive Models of Theories with Few Models written by Bakhadyr Khoussainov and published by . This book was released on 1995 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hartley Rogers (Jr.)
Publisher :
ISBN 13 :
Total Pages : 482 pages
Book Rating : 4.:/5 (86 download)
Download or read book Theory of Recursive Functions and Effective Computability written by Hartley Rogers (Jr.) and published by . This book was released on 1967 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paolo Mancosu
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.F/5 ( download)
Download or read book Generalizing Classical and Effective Model Theory in Theories of Operations and Classes written by Paolo Mancosu and published by . This book was released on 1989 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John N. Crossley
Publisher : Springer Science & Business Media
ISBN 13 : 1461203252
Total Pages : 829 pages
Book Rating : 4.4/5 (612 download)
Download or read book Logical Methods written by John N. Crossley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. A conference on Logical Methods was held in honor of Nerode's sixtieth birthday (4 June 1992) at the Mathematical Sciences Institute, Cornell University, 1-3 June 1992. Some of the conference papers are here, but others are from students, co-workers and other colleagues. The intention of the conference was to look forward, and to see the directions currently being pursued, in the development of work by, or with, Nerode. Here is a brief summary of the contents of this book. We give a retrospective view of Nerode's work. A number of specific areas are readily discerned: recursive equivalence types, recursive algebra and model theory, the theory of Turing degrees and r.e. sets, polynomial-time computability and computer science. Nerode began with automata theory and has also taken a keen interest in the history of mathematics. All these areas are represented. The one area missing is Nerode's applied mathematical work relating to the environment. Kozen's paper builds on Nerode's early work on automata. Recursive equivalence types are covered by Dekker and Barback, the latter using directly a fundamental metatheorem of Nerode. Recursive algebra is treated by Ge & Richards (group representations). Recursive model theory is the subject of papers by Hird, Moses, and Khoussainov & Dadajanov, while a combinatorial problem in recursive model theory is discussed in Cherlin & Martin's paper. Cenzer presents a paper on recursive dynamics.
Author : Erich Grädel
Publisher : Springer Science & Business Media
ISBN 13 : 3540688048
Total Pages : 447 pages
Book Rating : 4.5/5 (46 download)
Download or read book Finite Model Theory and Its Applications written by Erich Grädel and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,“thebranchof mathematical logic which deals with the relation between a formal language and its interpretations”. No wonder, then, that mathematical logic, and ?nite model theory in particular, should ?nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of ?nite model theory: expressive power, descriptive complexity, and zero–one laws, together with selected applications to database theory and arti?cial intelligence, es- cially constraint databases and constraint satisfaction problems. The ?nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with ?nite model theory.
Author : Peter Baofu
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443806218
Total Pages : 278 pages
Book Rating : 4.4/5 (438 download)
Download or read book The Future of Post-Human Mathematical Logic written by Peter Baofu and published by Cambridge Scholars Publishing. This book was released on 2009-03-26 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why should mathematical logic be grounded on the basis of some formal requirements in the way that it has been developed since its classical emergence as a hybrid field of mathematics and logic in the 19th century or earlier? Contrary to conventional wisdom, the foundation of mathematic logic has been grounded on some false (or dogmatic) assumptions which have much impoverished the pursuit of knowledge. This is not to say that mathematical logic has been useless. Quite on the contrary, it has been quite influential in shaping the way that reality is to be understood in numerous fields of knowledge—by learning from the mathematical study of logic and its reverse, the logical study of mathematics. In the final analysis, the future of mathematical logic will depend on how its foundational crisis is to be resolved, and "the contrastive theory of rationality" (in this book) is to precisely show how and why it can be done by taking a contrastive turn, subject to the constraints imposed upon by "existential dialectic principles" at the ontological level (to avoid any reductionistic fallacy) and other ones (like the perspectives of culture, society, nature, and the mind). The contrastive theory of rationality thus shows a better way to ground mathematical logic (beyond both classical and non-classical logics) for the future advancement of knowledge and, if true, will alter the way of how mathematical logic is to be understood, with its enormous implications for the future of knowledge and its "post-human" fate.
Author : Noam Greenberg
Publisher : Cambridge University Press
ISBN 13 : 110751200X
Total Pages : 205 pages
Book Rating : 4.1/5 (75 download)
Download or read book Effective Mathematics of the Uncountable written by Noam Greenberg and published by Cambridge University Press. This book was released on 2013-10-31 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical computable model theory is most naturally concerned with countable domains. There are, however, several methods – some old, some new – that have extended its basic concepts to uncountable structures. Unlike in the classical case, however, no single dominant approach has emerged, and different methods reveal different aspects of the computable content of uncountable mathematics. This book contains introductions to eight major approaches to computable uncountable mathematics: descriptive set theory; infinite time Turing machines; Blum-Shub-Smale computability; Sigma-definability; computability theory on admissible ordinals; E-recursion theory; local computability; and uncountable reverse mathematics. This book provides an authoritative and multifaceted introduction to this exciting new area of research that is still in its early stages. It is ideal as both an introductory text for graduate and advanced undergraduate students and a source of interesting new approaches for researchers in computability theory and related areas.
Author :
Publisher : Elsevier
ISBN 13 : 0080533701
Total Pages : 799 pages
Book Rating : 4.0/5 (85 download)
Download or read book Recursive Algebra, Analysis and Combinatorics written by and published by Elsevier. This book was released on 1998-11-30 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recursive Algebra, Analysis and Combinatorics
