Selected Papers

Calvin C. Elgot (Autor)

Buch | Hardcover

460 Seiten

1982 | 1982 ed.
Springer-Verlag New York Inc.
978-0-387-90698-0 (ISBN)

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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.

[4] Realization of Events.- [17] Random-Access Stored-Program Machines, an Approach to Programming Languages.- [25] Abstract Algorithms and Diagram Closure.- [32] Algebraic Theories and Program Schemes.- [31] The Common Algebraic Structure of Exit-Automata and Machines.- [34] Monadic Computation and Iterative Algebraic Theories.- [38] On the Algebraic Structure of Rooted Trees.- [43] Solutions of the Iteration Equation and Extensions of the Scalar Iteration Operation.- [44] Vector Iteration in Pointed Iterative Theories.- [37] Structured Programming With and Without GO TO Statements.- [42] A Semantically Meaningful Characterization of Reducible Flowchart Schemes.- [50] An Equational Axiomatization of the Algebra of Reducible Flowchart Schemes.- [48] On Coordinated Sequential Processes.

Co-Autor	Samuel Eilenberg
Vorwort	Dana S. Scott
Zusatzinfo	biography
Verlagsort	New York, NY
Sprache	englisch
Gewicht	990 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	0-387-90698-3 / 0387906983
ISBN-13	978-0-387-90698-0 / 9780387906980
Zustand	Neuware