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Author : A. R. D. Mathias
Publisher : Springer
ISBN 13 : 3540368841
Total Pages : 673 pages
Book Rating : 4.5/5 (43 download)
Download or read book Cambridge Summer School in Mathematical Logic written by A. R. D. Mathias and published by Springer. This book was released on 2006-11-15 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. R. D. Mathias
Publisher :
ISBN 13 : 9783662201343
Total Pages : 676 pages
Book Rating : 4.2/5 (13 download)
Download or read book Cambridge Summer School in Mathematical Logic written by A. R. D. Mathias and published by . This book was released on 2014-01-15 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book Cambridge Summer School in Mathematical Logic written by and published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Barwise
Publisher : Elsevier
ISBN 13 : 0080933645
Total Pages : 1164 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Mathematical Logic written by J. Barwise and published by Elsevier. This book was released on 1982-03-01 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.
Author : Jeremy Avigad
Publisher :
ISBN 13 : 1108800769
Total Pages : 528 pages
Book Rating : 4.1/5 (88 download)
Download or read book Mathematical Logic and Computation written by Jeremy Avigad and published by . This book was released on 2022-09-12 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book on mathematical logic by Jeremy Avigad gives a thorough introduction to the fundamental results and methods of the subject from the syntactic point of view, emphasizing logic as the study of formal languages and systems and their proper use. Topics include proof theory, model theory, the theory of computability, and axiomatic foundations, with special emphasis given to aspects of mathematical logic that are fundamental to computer science, including deductive systems, constructive logic, the simply typed lambda calculus, and type-theoretic foundations. Clear and engaging, with plentiful examples and exercises, it is an excellent introduction to the subject for graduate students and advanced undergraduates who are interested in logic in mathematics, computer science, and philosophy, and an invaluable reference for any practicing logician's bookshelf.
Author : Petio P. Petkov
Publisher : Springer Science & Business Media
ISBN 13 : 1461306094
Total Pages : 405 pages
Book Rating : 4.4/5 (613 download)
Download or read book Mathematical Logic written by Petio P. Petkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heyting'88 Summer School and Conference on Mathematical Logic, held September 13 - 23, 1988 in Chaika, Bulgaria, was honourably dedicated to Arend Heyting's 90th anniversary. It was organized by Sofia University "Kliment Ohridski" on the occasion of its centenary and by the Bulgarian Academy of Sciences, with sponsorship of the Association for Symbolic Logic. The Meeting gathered some 115 participants from 19 countries. The present volume consists of invited and selected papers. Included are all the invited lectures submitted for publication and the 14 selected contributions, chosen out of 56 submissions by the Selection Committee. The selection was made on the basis of reports of PC members, an average of 4 per sLlbmission. All the papers are concentrated on the topics of the Meeting: Recursion Theory, Modal and Non-classical Logics, Intuitionism and Constructivism, Related Applications to Computer and Other Sciences, Life and Work of Arend Heyting. I am pleased to thank all persons and institutions that contributed to the success of the Meeting: sponsors, Programme Committee members and additional referees, the members of the Organizing Committee, our secretaries K. Lozanova and L. Nikolova, as well as K. Angelov, V. Bozhichkova, A. Ditchev, D. Dobrev, N. Dimitrov, R. Draganova, G. Gargov, N. Georgieva, M. Janchev, P. Marinov, S. Nikolova, S. Radev, I. Soskov, A. Soskova and v. Sotirov, who helped in the organization, Plenum Press and at last but not least all participants in the Meeting and contributors to this volume
Author : David Kueker
Publisher : CRC Press
ISBN 13 : 1000154602
Total Pages : 420 pages
Book Rating : 4.0/5 (1 download)
Download or read book Mathematical Logic and Theoretical Computer Science written by David Kueker and published by CRC Press. This book was released on 2020-12-22 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Logic and Theoretical Computer Science covers various topics ranging from recursion theory to Zariski topoi. Leading international authorities discuss selected topics in a number of areas, including denotational semanitcs, reccuriosn theoretic aspects fo computer science, model theory and algebra, Automath and automated reasoning, stability theory, topoi and mathematics, and topoi and logic. The most up-to-date review available in its field, Mathematical Logic and Theoretical Computer Science will be of interest to mathematical logicians, computer scientists, algebraists, algebraic geometers, differential geometers, differential topologists, and graduate students in mathematics and computer science.
Author : Dimiter G. Skordev
Publisher : Springer Science & Business Media
ISBN 13 : 1461308976
Total Pages : 366 pages
Book Rating : 4.4/5 (613 download)
Download or read book Mathematical Logic and Its Applications written by Dimiter G. Skordev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N.
Author : Yiannis N. Moschovakis
Publisher : Springer Science & Business Media
ISBN 13 : 1461228220
Total Pages : 607 pages
Book Rating : 4.4/5 (612 download)
Download or read book Logic from Computer Science written by Yiannis N. Moschovakis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is the outgrowth of a workshop with the same title held at MSRI in the week of November 13-17, 1989, and for those who did not get it, Logic from Computer Science is the converse of Logic in Computer Science, the full name of the highly successful annual LICS conferences. We meant to have a conference which would bring together the LICS commu nity with some of the more traditional "mathematical logicians" and where the emphasis would be on the flow of ideas from computer science to logic rather than the other way around. In a LICS talk, sometimes, the speaker presents a perfectly good theorem about (say) the A-calculus or finite model theory in terms of its potential applications rather than its (often more ob vious) intrinsic, foundational interest and intricate proof. This is not meant to be a criticism; the LICS meetings are, after all, organized by the IEEE Computer Society. We thought, for once, it would be fun to see what we would get if we asked the speakers to emphasize the relevance of their work for logic rather than computer science and to point out what is involved in the proofs. I think, mostly, it worked. In any case, the group of people represented as broad a selection of logicians as I have seen in recent years, and the quality of the talks was (in my view) exceptionally, unusually high. I learned a lot and (I think) others did too.
Author : Gerald E. Sacks
Publisher : World Scientific
ISBN 13 : 9810247362
Total Pages : 710 pages
Book Rating : 4.8/5 (12 download)
Download or read book Mathematical Logic in the 20th Century written by Gerald E. Sacks and published by World Scientific. This book was released on 2003 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is a collection of 31 important ? both in ideas and results ? papers published by mathematical logicians in the 20th Century. The papers have been selected by Professor Gerald E Sacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
Author : Thomas Drucker
Publisher : Springer Science & Business Media
ISBN 13 : 0817647694
Total Pages : 218 pages
Book Rating : 4.8/5 (176 download)
Download or read book Perspectives on the History of Mathematical Logic written by Thomas Drucker and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
Author : Can Başkent
Publisher : Springer
ISBN 13 : 3319207628
Total Pages : 197 pages
Book Rating : 4.3/5 (192 download)
Download or read book Perspectives on Interrogative Models of Inquiry written by Can Başkent and published by Springer. This book was released on 2015-10-07 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the two major elements of Hintikka’s model of inquiry: underlying game theoretical motivations and the central role of questioning. The chapters build on the Hintikkan tradition extending Hintikka’s model and present a wide variety of approaches to the philosophy of inquiry from different directions, ranging from erotetic logic to Lakatosian philosophy, from socio-epistemologic approaches to strategic reasoning and mathematical practice. Hintikka's theory of inquiry is a well-known example of a dynamic epistemic procedure. In an interrogative inquiry, the inquirer is given a theory and a question. He then tries to answer the question based on the theory by posing questions to nature or an oracle. The initial formulation of this procedure by Hintikka is rather broad and informal. This volume introduces a carefully selected responses to the issues discussed by Hintikka. The articles in the volume were contributed by various authors associated with a research project on Hintikka's interrogative theory of inquiry conducted in the Institut d’Histoire et de Philosophie des Sciences et des Techniques (IHPST) of Paris, including those who visited to share their insight.
Author : G.H. Müller
Publisher : Springer
ISBN 13 : 3540357491
Total Pages : 481 pages
Book Rating : 4.5/5 (43 download)
Download or read book Higher Set Theory written by G.H. Müller and published by Springer. This book was released on 2007-01-05 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Douglas Bridges
Publisher : Cambridge University Press
ISBN 13 : 100904141X
Total Pages : 864 pages
Book Rating : 4.0/5 (9 download)
Download or read book Handbook of Constructive Mathematics written by Douglas Bridges and published by Cambridge University Press. This book was released on 2023-03-31 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jaakko Hintikka
Publisher : Springer Science & Business Media
ISBN 13 : 9400998252
Total Pages : 459 pages
Book Rating : 4.4/5 (9 download)
Download or read book Essays on Mathematical and Philosophical Logic written by Jaakko Hintikka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth Scandinavian Logic Symposium and the First Soviet-Finnish Logic Conference were held in JyvaskyIa, Finland, June 29-July 6, 1976. The Conferences were organized by a committee which consisted of the editors of the present volume. The Conferences were supported financially by the Ministry of Education of Finland, by the Academy of Finland, and by the Division of Logic, Methodology, and Philosophy of Science of the International Union of History of Science. The Philosophical Society of Finland and the Jyvaskyla Summer Festival gave valuable help in various practicalities. 35 papers by authors representing 10 countries were presented at the two meetings. Of those papers 24 appear here. THE EDITORS v TABLE OF CONTENTS PREFACE v PART 1/ PROOF THEORY GEORG KREISEL / Some Facts from the Theory of Proofs and Some Fictions from General Proof Theory 3 DAG PRAWITZ / Proofs and the Meaning and Completeness of the Logical Constants 25 v. A. SMIRNOV / Theory of Quantification and tff-calculi 41 LARS SVENONIUS/Two Kinds of Extensions of Primitive Recursive Arithmetic 49 DIRK VAN DALEN and R. STATMAN / Equality in the Presence of Apartness 95 PART II / INFINITARY LANGUAGES VEIKKO RANTALA / Game-Theoretical Semantics and Back-and- Forth 119 MAARET KAR TTUNEN / Infinitary Languages N oo~.
Author : Marco Benini
Publisher : World Scientific
ISBN 13 : 9811245231
Total Pages : 477 pages
Book Rating : 4.8/5 (112 download)
Download or read book Mathematics For Computation (M4c) written by Marco Benini and published by World Scientific. This book was released on 2023-03-21 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not.Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency.Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory.The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions.
Author : Robert E. Butts
Publisher : Springer Science & Business Media
ISBN 13 : 9401011389
Total Pages : 401 pages
Book Rating : 4.4/5 (1 download)
Download or read book Logic, Foundations of Mathematics, and Computability Theory written by Robert E. Butts and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 August to 2 September 1975. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, and was sponsored by the National Research Council of Canada and the University of Western Ontario. As those associated closely with the work of the Division over the years know well, the work undertaken by its members varies greatly and spans a number of fields not always obviously related. In addition, the volume of work done by first rate scholars and scientists in the various fields of the Division has risen enormously. For these and related reasons it seemed to the editors chosen by the Divisional officers that the usual format of publishing the proceedings of the Congress be abandoned in favour of a somewhat more flexible, and hopefully acceptable, method of pre sentation. Accordingly, the work of the invited participants to the Congress has been divided into four volumes appearing in the University of Western Ontario Series in Philosophy of Science. The volumes are entitled, Logic, Foundations of Mathematics and Computability Theory, Foun dational Problems in the Special Sciences, Basic Problems in Methodol ogy and Linguistics, and Historical and Philosophical Dimensions of Logic, Methodology and Philosophy of Science.
