Download or read book Logic Colloquium 76 Proceedings of a conference written by Lev D. Beklemishev and published by Elsevier. This book was released on 2009-06-15 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Colloquium 76, Proceedings of a conference
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.
Download or read book Logic Colloquium 2000 written by René Cori and published by Cambridge University Press. This book was released on 2017-03-30 with total page 422 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 nineteenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Paris, France in July 2000. This meeting marked the centennial anniversary of Hilbert's famous lecture and was held in the same hall at La Sorbonne where Hilbert presented his problems. Three long articles, based on tutorials given at the meeting, present accessible expositions of developing research in model theory, computability, and set theory. The eleven subsequent papers present work from the research frontier in all areas of mathematical logic.
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 913 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 eighth publication in the Perspectives in Logic series, brings together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers. Part I provides an introduction to the subject as a whole, as well as to the basic theory and examples. The rest of the book addresses finitary languages with additional quantifiers, infinitary languages, second-order logic, logics of topology and analysis, and advanced topics in abstract model theory. Many chapters can be read independently.
Download or read book EUROCAL 85 European Conference on Computer Algebra Linz Austria April 1 3 1985 Proceedings written by Bruno Buchberger and published by Springer Science & Business Media. This book was released on 1985 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dictionary of Logic as Applied in the Study of Language written by W. Marciszewski and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. STRUCTURE AND REFERENCES 1.1. The main part of the dictionary consists of alphabetically arranged articles concerned with basic logical theories and some other selected topics. Within each article a set of concepts is defined in their mutual relations. This way of defining concepts in the context of a theory provides better understand ing of ideas than that provided by isolated short defmitions. A disadvantage of this method is that it takes more time to look something up inside an extensive article. To reduce this disadvantage the following measures have been adopted. Each article is divided into numbered sections, the numbers, in boldface type, being addresses to which we refer. Those sections of larger articles which are divided at the first level, i.e. numbered with single numerals, have titles. Main sections are further subdivided, the subsections being numbered by numerals added to the main section number, e.g. I, 1.1, 1.2, ... , 1.1.1, 1.1.2, and so on. A comprehensive subject index is supplied together with a glossary. The aim of the latter is to provide, if possible, short defmitions which sometimes may prove sufficient. As to the use of the glossary, see the comment preceding it.
Download or read book Higher Order Computability written by John Longley and published by Springer. This book was released on 2015-11-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained exposition of the theory of computability in a higher-order context, where 'computable operations' may themselves be passed as arguments to other computable operations. The subject originated in the 1950s with the work of Kleene, Kreisel and others, and has since expanded in many different directions under the influence of workers from both mathematical logic and computer science. The ideas of higher-order computability have proved valuable both for elucidating the constructive content of logical systems, and for investigating the expressive power of various higher-order programming languages. In contrast to the well-known situation for first-order functions, it turns out that at higher types there are several different notions of computability competing for our attention, and each of these has given rise to its own strand of research. In this book, the authors offer an integrated treatment that draws together many of these strands within a unifying framework, revealing not only the range of possible computability concepts but the relationships between them. The book will serve as an ideal introduction to the field for beginning graduate students, as well as a reference for advanced researchers
Download or read book Extensions of the Axiom of Determinacy written by Paul B. Larson and published by American Mathematical Society. This book was released on 2023-10-19 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, in particular by W. Hugh Woodin. The first half of the book reviews necessary background material, including the Moschovakis Coding Lemma, the existence of strong partition cardinals, and the analysis of pointclasses in models of determinacy. The second half of the book introduces Woodin's axiom system $mathrm{AD}^{+}$ and presents his initial analysis of these axioms. These results include the consistency of $mathrm{AD}^{+}$ from the consistency of AD, and its local character and initial motivation. Proofs are given of fundamental results by Woodin, Martin, and Becker on the relationships among AD, $mathrm{AD}^{+}$, the Axiom of Real Determinacy, and the Suslin property. Many of these results are proved in print here for the first time. The book briefly discusses later work and fundamental questions which remain open. The study of models of $mathrm{AD}^{+}$ is an active area of contemporary research in set theory. The presentation is aimed at readers with a background in basic set theory, including forcing and ultrapowers. Some familiarity with classical results on regularity properties for sets of reals under AD is also expected.
Download or read book Dictionary of Modern American Philosophers written by John R. Shook and published by A&C Black. This book was released on 2005-01-01 with total page 2759 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dictionary of Modern American Philosophers includes both academic and non-academic philosophers, anda large number of female and minority thinkers whose work has been neglected. It includes those intellectualsinvolved in the development of psychology, pedagogy, sociology, anthropology, education, theology, politicalscience, and several other fields, before these disciplines came to be considered distinct from philosophy in thelate nineteenth century.Each entry contains a short biography of the writer, an exposition and analysis of his or her doctrines and ideas, abibliography of writings, and suggestions for further reading. While all the major post-Civil War philosophers arepresent, the most valuable feature of this dictionary is its coverage of a huge range of less well-known writers,including hundreds of presently obscure thinkers. In many cases, the Dictionary of Modern AmericanPhilosophers offers the first scholarly treatment of the life and work of certain writers. This book will be anindispensable reference work for scholars working on almost any aspect of modern American thought.
Download or read book Recursion Theory written by Anil Nerode and published by American Mathematical Soc.. This book was released on 1985 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bolzano s Logical System written by Ettore Casari and published by Oxford University Press. This book was released on 2016-11-17 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is focused on the first three parts of Bolzano's Theory of Sciene and introduces a more systematic reconsideration of Bolzano's logial thought. In undertaking this task, the book is intended as an exploration, not so much of the more specifically discursive aspects of Bolzano's logial thought - already amply studied - as muh as on identifying the singularly coherent and systematic nature of the logic presented in Bolzano's work. Casari presents this within a formal system and adopts the approach of the predicate calculus with identity and choice operator by using Hilbert's epsilon calculus (the logical formalism developed by David Hilbert in the service of his program in the foundations of mathematics).
Download or read book Routledge Encyclopedia of Philosophy written by Edward Craig and published by . This book was released on 1998 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume seven of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.
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.
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
Download or read book Types and Programming Languages written by Benjamin C. Pierce and published by MIT Press. This book was released on 2002-01-04 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.
Download or read book Natural Dualities for the Working Algebraist written by David M. Clark and published by Cambridge University Press. This book was released on 1998-11-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: First text in subject; aimed at algebraists, category theorists in mathematics and computer science.
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.
