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Selected Papers (Paperback, Softcover reprint of the original 1st ed. 1982)
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Selected Papers (Paperback, Softcover reprint of the original 1st ed. 1982)
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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."
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