Cambridge Summer School in Mathematical Logic
Author: A. R. D. Mathias
Publisher: Springer
Published: 2006-11-15
Total Pages: 673
ISBN-13: 3540368841
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Cambridge Summer School in Mathematical Logic
Author: A. R. D. Mathias
Publisher:
Published: 2014-01-15
Total Pages: 676
ISBN-13: 9783662201343
DOWNLOAD EBOOKMathematical Logic
Author: Petio P. Petkov
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 405
ISBN-13: 1461306094
DOWNLOAD EBOOKHeyting'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
Mathematical Logic and Theoretical Computer Science
Author: David Kueker
Publisher: CRC Press
Published: 2020-12-22
Total Pages: 420
ISBN-13: 1000154602
DOWNLOAD EBOOKMathematical 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.
Mathematical Logic and Computation
Author: Jeremy Avigad
Publisher: Cambridge University Press
Published: 2022-09-30
Total Pages: 527
ISBN-13: 1108478751
DOWNLOAD EBOOKA thorough introduction to the fundamental methods and results in mathematical logic, and its foundational role in computer science.
Handbook of Mathematical Logic
Author: J. Barwise
Publisher: Elsevier
Published: 1982-03-01
Total Pages: 1179
ISBN-13: 0080933645
DOWNLOAD EBOOKThe 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.
Logic from Russell to Church
Author: Dov M. Gabbay
Publisher: Elsevier
Published: 2009-06-16
Total Pages: 1069
ISBN-13: 0080885470
DOWNLOAD EBOOKThis volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. 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 the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.• The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights
The Stationary Tower
Author: Paul Bradley Larson
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 144
ISBN-13: 0821836048
DOWNLOAD EBOOKThe stationary tower is an important method in modern set theory, invented by Hugh Woodin in the 1980s. It is a means of constructing generic elementary embeddings and can be applied to produce a variety of useful forcing effects. Hugh Woodin is a leading figure in modern set theory, having made many deep and lasting contributions to the field, in particular to descriptive set theory and large cardinals. This book is the first detailed treatment of his method of the stationary towerthat is generally accessible to graduate students in mathematical logic. By giving complete proofs of all the main theorems and discussing them in context, it is intended that the book will become the standard reference on the stationary tower and its applications to descriptive set theory. Thefirst two chapters are taken from a graduate course Woodin taught at Berkeley. The concluding theorem in the course was that large cardinals imply that all sets of reals in the smallest model of set theory (without choice) containing the reals are Lebesgue measurable. Additional sections include a proof (using the stationary tower) of Woodin's theorem that, with large cardinals, the Continuum Hypothesis settles all questions of the same complexity as well as some of Woodin's applications of thestationary tower to the studies of absoluteness and determinacy. The book is suitable for a graduate course that assumes some familiarity with forcing, constructibility, and ultrapowers. It is also recommended for researchers interested in logic, set theory, and forcing.
Handbook of Philosophical Logic
Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 404
ISBN-13: 9401598339
DOWNLOAD EBOOKIt is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic article in the Encyclopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook of Mathematical Logic, published in 1977, edited by the late Jon Barwise, The four volume Handbook of Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence circles. These areas were under increasing commercial pressure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
Large Cardinals, Determinacy and Other Topics
Author: Alexander S. Kechris
Publisher: Cambridge University Press
Published: 2020-11-05
Total Pages: 317
ISBN-13: 1107182999
DOWNLOAD EBOOKThe final volume in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.
