Logic Colloquium 03
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| Author | : Viggo Stoltenberg-Hansen |
| Publisher | : Cambridge University Press |
| Total Pages | : 420 |
| Release | : 2017-03-30 |
| Genre | : Mathematics |
| ISBN | : 1108587143 |
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 twenty-fourth publication in the Lecture Notes in Logic series, contains the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Helsinki, Finland, in August 2003. These articles include an extended tutorial on generalizing finite model theory, as well as seventeen original research articles spanning all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy.
| Author | : S.B. Cooper |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 560 |
| Release | : 2007-11-28 |
| Genre | : Computers |
| ISBN | : 0387685464 |
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 | : Giovanni Sommaruga |
| Publisher | : Birkhäuser |
| Total Pages | : 329 |
| Release | : 2016-01-21 |
| Genre | : Mathematics |
| ISBN | : 3319221566 |
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.
| Author | : Dov M. Gabbay |
| Publisher | : Clarendon Press |
| Total Pages | : 524 |
| Release | : 2005-05-12 |
| Genre | : Mathematics |
| ISBN | : 019154535X |
This book is a specialized monograph on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language. Suitable for researchers and graduate students in mathematics, computer science and philosophy, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (second edition), J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning, P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2, and David J. Pym and Eike Ritter's Reductive Logic and Proof Search: Proof theory, semantics and control.
| Author | : Ralf Schindler |
| Publisher | : Walter de Gruyter |
| Total Pages | : 495 |
| Release | : 2013-05-02 |
| Genre | : Philosophy |
| ISBN | : 3110324903 |
On the occasion of the retirement of Wolfram Pohlers the Institut für Mathematische Logik und Grundlagenforschung of the University of Münster organized a colloquium and a workshop which took place July 17 – 19, 2008. This event brought together proof theorists from many parts of the world who have been acting as teachers, students and collaborators of Wolfram Pohlers and who have been shaping the field of proof theory over the years. The present volume collects papers by the speakers of the colloquium and workshop; and they produce a documentation of the state of the art of contemporary proof theory.
| Author | : Sten Lindström |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 509 |
| Release | : 2008-11-25 |
| Genre | : Mathematics |
| ISBN | : 1402089260 |
This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.
| Author | : Cyrus F. Nourani |
| Publisher | : CRC Press |
| Total Pages | : 304 |
| Release | : 2016-02-24 |
| Genre | : Mathematics |
| ISBN | : 1771882484 |
This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples
| Author | : Douglas Bridges |
| Publisher | : Cambridge University Press |
| Total Pages | : 864 |
| Release | : 2023-03-31 |
| Genre | : Mathematics |
| ISBN | : 100904141X |
Constructive mathematics – mathematics in which 'there exists' always means 'we can construct' – is enjoying a renaissance. fifty years on from Bishop's groundbreaking account of constructive analysis, constructive mathematics has spread out to touch almost all areas of mathematics and to have profound influence in theoretical computer science. This handbook gives the most complete overview of modern constructive mathematics, with contributions from leading specialists surveying the subject's myriad aspects. Major themes include: constructive algebra and geometry, constructive analysis, constructive topology, constructive logic and foundations of mathematics, and computational aspects of constructive mathematics. A series of introductory chapters provides graduate students and other newcomers to the subject with foundations for the surveys that follow. Edited by four of the most eminent experts in the field, this is an indispensable reference for constructive mathematicians and a fascinating vista of modern constructivism for the increasing number of researchers interested in constructive approaches.
| Author | : Wei-Ngan Chin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 464 |
| Release | : 2004-10-15 |
| Genre | : Computers |
| ISBN | : 3540237240 |
This book constitutes the refereed proceedings of the Second Asian Symposium on Programming Languages and Systems, APLAS 2004, held in Taipei, Taiwan in November 2004. The 26 revised full papers presented together with abstracts of 3 invited talks were carefully reviewed and selected from 97 submissions. Among the topics covered are type theory, program transformation, static analysis, verification, concurrent systems, code generation, programming calculi, functional programming languages, language support, component systems, real-time systems, embedded systems, formal systems design, object-oriented design, Java objects, program optimization .
| Author | : Alexander S. Kechris |
| Publisher | : Cambridge University Press |
| Total Pages | : 552 |
| Release | : 2016-01-11 |
| Genre | : Mathematics |
| ISBN | : 1316586286 |
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Ordinal Definability and Recursion Theory is the third in a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics and discussion of research developments since the publication of the original volumes. Focusing on the subjects of 'HOD and its Local Versions' (Part V) and 'Recursion Theory' (Part VI), each of the two sections is preceded by an introductory survey putting the papers into present context. These four volumes will be a necessary part of the book collection of every set theorist.
