Author: Richard Newell BoydPublisher:
ISBN:
Category :
Languages : en
Pages : 80
Book Description
A Recursion-theoretic Characterization of the Ramified Analytical Hierarchy
Author: Richard Newell BoydRecursion-Theoretic Hierarchies
Author: Peter G. HinmanPublisher: Cambridge University Press
ISBN: 1316739384
Category : Mathematics
Languages : en
Pages : 494
Book Description
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. The theory set out in this volume, the ninth publication in the Perspectives in Logic series, is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion theory. Both are concerned with notions of definability and with the classification of mathematical objects according to their complexity. These are the common themes which run through the topics discussed here. The author develops a general theory from which the results of both areas can be derived, making these common threads clear.
Hilary Putnam on Logic and Mathematics
Author: Geoffrey HellmanPublisher: Springer
ISBN: 3319962744
Category : Mathematics
Languages : en
Pages : 274
Book Description
This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam’s work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic. The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam.
Recursively Enumerable Sets and Degrees
Author: Robert I. SoarePublisher: Springer Science & Business Media
ISBN: 9783540152996
Category : Mathematics
Languages : en
Pages : 460
Book Description
..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988
Handbook of Philosophical Logic
Author: Dov M. GabbayPublisher: Springer Science & Business Media
ISBN: 9781402019661
Category : Philosophy
Languages : en
Pages : 348
Book Description
It 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.
Handbook of Mathematical Logic
Author: J. BarwisePublisher: Elsevier
ISBN: 0080933645
Category : Computers
Languages : en
Pages : 1179
Book Description
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.
Higher Recursion Theory
Author: Gerald E. SacksPublisher: Cambridge University Press
ISBN: 1107168430
Category : Computers
Languages : en
Pages : 361
Book Description
This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Proceedings of the Fourth International Congress for Logic, Methodology and Philosophy of Science, Bucharest, 1971
Author: Lev D. BeklemishevPublisher: Elsevier
ISBN: 0080954847
Category : Computers
Languages : en
Pages : 993
Book Description
Proceedings of the Fourth International Congress for Logic, Methodology and Philosophy of Science, Bucharest, 1971
Mathematical Logic in the 20th Century
Author: Gerald E. SacksPublisher: World Scientific
ISBN: 9810247362
Category : Mathematics
Languages : en
Pages : 710
Book Description
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.
Computing with Foresight and Industry
Author: Florin ManeaPublisher: Springer
ISBN: 3030229963
Category : Computers
Languages : en
Pages : 336
Book Description
This book constitutes the refereed proceedings of the 15th Conference on Computability in Europe, CiE 2019, held in Durham, UK, in July 2019. The 20 revised full papers presented were carefully reviewed and selected from 35 submissions. In addition, this volume includes 7 invited papers. The conference CiE 2018 had the following six special sessions: computational neuroscience, history and philosophy of computing, lowness notions in computability, probabilistic programming and higher-order computation, smoothed and probabilistic analysis of algorithms, and transnite computations.