Selected Papers - An Introduction to the Theoretical Analysis and Numerical Treatment of Semi-Infinite Programs

Elgot,

ISBN 10: 0387906983 / ISBN 13: 9780387906980

Verlag: Springer, 1982

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This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Bestandsnummer des Verkäufers ABNR-157652

Bibliografische Details

Titel: Selected Papers - An Introduction to the ...

Verlag: Springer

Erscheinungsdatum: 1982

Einband: Hardcover

Zustand: New

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Inhaltsangabe:

Cal Elgot was a very serious and thoughtful researcher, who with great determi- nation attempted to find basic explanations for certain mathematical phenomena- as the selection of papers in this volume well illustrate. His approach was, for the most part, rather finitist and constructivist, and he was inevitably drawn to studies of the process of computation. It seems to me that his early work on decision problems relating automata and logic, starting with his thesis under Roger Lyndon and continuing with joint work with Biichi, Wright, Copi, Rutledge, Mezei, and then later with Rabin, set the stage for his attack on the theory of computation through the abstract treatment of the notion of a machine. This is also apparent in his joint work with A. Robinson reproduced here and in his joint papers with John Shepherdson. Of course in the light of subsequent work on decision problems by Biichi, Rabin, Shelah, and many, many others, the subject has been placed on a completely different plane from what it was when Elgot left the area. But I feel that his papers, results-and style-were very definitely influential at the time and may well have altered the course of the investigation of these problems. As Sammy Eilenberg explains, the next big influence on Elgot's thinking was category theory, which gave him a way of expressing his ideas in a sharply algebraic manner. The joint book with Eilenberg is one illustration of this influence.