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Author : Jon Barwise
Publisher : Springer
ISBN 13 : 3540359001
Total Pages : 277 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Syntax and Semantics of Infinitary Languages written by Jon Barwise and published by Springer. This book was released on 2006-11-14 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540287884
Total Pages : 363 pages
Book Rating : 4.5/5 (42 download)
Download or read book Finite Model Theory written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2005-12-29 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.
Author : M. A. Dickmann
Publisher :
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.F/5 ( download)
Download or read book Model Theory of Infinitary Languages written by M. A. Dickmann and published by . This book was released on 1970 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080954936
Total Pages : 481 pages
Book Rating : 4.0/5 (89 download)
Download or read book Large Infinitary Languages written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large Infinitary Languages
Author : Gaisi Takeuti
Publisher : Courier Corporation
ISBN 13 : 0486490734
Total Pages : 514 pages
Book Rating : 4.4/5 (864 download)
Download or read book Proof Theory written by Gaisi Takeuti and published by Courier Corporation. This book was released on 2013-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics. The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.
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 : Charles Weber Culmer
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.F/5 ( download)
Download or read book Definability Problems in Model Theory written by Charles Weber Culmer and published by . This book was released on 1979 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3662090589
Total Pages : 653 pages
Book Rating : 4.6/5 (62 download)
Download or read book Ω-Bibliography of Mathematical Logic written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
Author : Anthony W. Lin
Publisher : Springer Nature
ISBN 13 : 3031191358
Total Pages : 215 pages
Book Rating : 4.0/5 (311 download)
Download or read book Reachability Problems written by Anthony W. Lin and published by Springer Nature. This book was released on 2022-10-12 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Reachability Problems, RP 2022, held in Kaiserslautern, Germany, in October 2022. The 8 full papers presented were carefully reviewed and selected from 14 submissions. In addition, 3 invited papers were included in this volume. The RP proceedings cover topics such as reachability for infinite state systems; rewriting systems; reachability analysis in counter/timed/cellular/communicating automata; Petri nets; computational aspects of semigroups, groups, and rings; reachability in dynamical and hybrid systems; frontiers between decidable and undecidable reachability problems; complexity and decidability aspects; predictability in iterative maps; and new computational paradigms.
Author : David Marker
Publisher : Cambridge University Press
ISBN 13 : 1107181933
Total Pages : 192 pages
Book Rating : 4.1/5 (71 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: This book is the first modern introduction to the logic of infinitary languages in forty years, and is aimed at graduate students and researchers in all areas of mathematical logic. Connections between infinitary model theory and other branches of mathematical logic, and applications to algebra and algebraic geometry are both comprehensively explored.
Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080957714
Total Pages : 569 pages
Book Rating : 4.0/5 (89 download)
Download or read book Logic, Methodology and Philosophy of Science III written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic, Methodology and Philosophy of Science III
Author : E. Agazzi
Publisher : Springer Science & Business Media
ISBN 13 : 9400990561
Total Pages : 470 pages
Book Rating : 4.4/5 (9 download)
Download or read book Modern Logic — A Survey written by E. Agazzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic has attained in our century a development incomparably greater than in any past age of its long history, and this has led to such an enrichment and proliferation of its aspects, that the problem of some kind of unified recom prehension of this discipline seems nowadays unavoidable. This splitting into several subdomains is the natural consequence of the fact that Logic has intended to adopt in our century the status of a science. This always implies that the general optics, under which a certain set of problems used to be con sidered, breaks into a lot of specialized sectors of inquiry, each of them being characterized by the introduction of specific viewpoints and of technical tools of its own. The first impression, that often accompanies the creation of one of such specialized branches in a diSCipline, is that one has succeeded in isolating the 'scientific core' of it, by restricting the somehow vague and redundant generality of its original 'philosophical' configuration. But, after a while, it appears that some of the discarded aspects are indeed important and a new specialized domain of investigation is created to explore them. By follOwing this procedure, one finally finds himself confronted with such a variety of independent fields of research, that one wonders whether the fact of labelling them under a common denomination be nothing but the contingent effect of a pure historical tradition.
Author : W. A. J. Luxemburg
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.F/5 ( download)
Download or read book Applications of Model Theory to Algebra, Analysis, and Probability written by W. A. J. Luxemburg and published by . This book was released on 1969 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christopher S. Hardin
Publisher : Springer Science & Business Media
ISBN 13 : 3319013335
Total Pages : 114 pages
Book Rating : 4.3/5 (19 download)
Download or read book The Mathematics of Coordinated Inference written by Christopher S. Hardin and published by Springer Science & Business Media. This book was released on 2013-10-17 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultaneously submit a guess of their own hat color, and they both go free if at least one of them guesses correctly. While no communication is allowed once the hats have been placed, they will, however, be allowed to have a strategy session before being brought to the room. Is there a strategy ensuring their release? The answer turns out to be yes, and this is the simplest non-trivial example of a “hat problem.” This book deals with the question of how successfully one can predict the value of an arbitrary function at one or more points of its domain based on some knowledge of its values at other points. Topics range from hat problems that are accessible to everyone willing to think hard, to some advanced topics in set theory and infinitary combinatorics. For example, there is a method of predicting the value f(a) of a function f mapping the reals to the reals, based only on knowledge of f's values on the open interval (a – 1, a), and for every such function the prediction is incorrect only on a countable set that is nowhere dense. The monograph progresses from topics requiring fewer prerequisites to those requiring more, with most of the text being accessible to any graduate student in mathematics. The broad range of readership includes researchers, postdocs, and graduate students in the fields of set theory, mathematical logic, and combinatorics. The hope is that this book will bring together mathematicians from different areas to think about set theory via a very broad array of coordinated inference problems.
Author : Carlos Martín Vide
Publisher : John Benjamins Publishing
ISBN 13 : 9027215561
Total Pages : 227 pages
Book Rating : 4.0/5 (272 download)
Download or read book Issues in Mathematical Linguistics written by Carlos Martín Vide and published by John Benjamins Publishing. This book was released on 1999 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief collection of refereed papers approaches several technical as well as methodological aspects of the mathematical formalization of natural language, particularly in syntax and in semantics. Such kind of investigation is a prerequisite for the computational processing of language and is narrowly related to current developments in other disciplines, namely theoretical computer science and mathematical logic. The volume offers a coherent picture of recent research on the mathematics of language, and may be of interest to a wide audience, from linguists to mathematicians. Detailed indexes of authors and topics provide an easy access to the contents.
Author : Jon Barwise
Publisher : Cambridge University Press
ISBN 13 : 1316739414
Total Pages : 410 pages
Book Rating : 4.3/5 (167 download)
Download or read book Admissible Sets and Structures written by Jon Barwise and published by Cambridge University Press. This book was released on 2017-03-02 with total page 410 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. Admissible set theory is a major source of interaction between model theory, recursion theory and set theory, and plays an important role in definability theory. In this volume, the seventh publication in the Perspectives in Logic series, Jon Barwise presents the basic facts about admissible sets and admissible ordinals in a way that makes them accessible to logic students and specialists alike. It fills the artificial gap between model theory and recursion theory and covers everything the logician should know about admissible sets.
Author : Wilfrid Hodges
Publisher : Cambridge University Press
ISBN 13 : 9780521587136
Total Pages : 322 pages
Book Rating : 4.5/5 (871 download)
Download or read book A Shorter Model Theory written by Wilfrid Hodges and published by Cambridge University Press. This book was released on 1997-04-10 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.
