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Books > Computing & IT > Computer hardware & operating systems > Computer architecture & logic design
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Finite Automata, Formal Logic, and Circuit Complexity (Hardcover, 1994 ed.)
Loot Price: R3,008
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Finite Automata, Formal Logic, and Circuit Complexity (Hardcover, 1994 ed.)
Series: Progress in Theoretical Computer Science
Expected to ship within 10 - 15 working days
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The study of the connections between mathematical automata and for
mal logic is as old as theoretical computer science itself. In the
founding paper of the subject, published in 1936, Turing showed how
to describe the behavior of a universal computing machine with a
formula of first order predicate logic, and thereby concluded that
there is no algorithm for deciding the validity of sentences in
this logic. Research on the log ical aspects of the theory of
finite-state automata, which is the subject of this book, began in
the early 1960's with the work of J. Richard Biichi on monadic
second-order logic. Biichi's investigations were extended in
several directions. One of these, explored by McNaughton and Papert
in their 1971 monograph Counter-free Automata, was the
characterization of automata that admit first-order behavioral
descriptions, in terms of the semigroup theoretic approach to
automata that had recently been developed in the work of Krohn and
Rhodes and of Schiitzenberger. In the more than twenty years that
have passed since the appearance of McNaughton and Papert's book,
the underlying semigroup theory has grown enor mously, permitting a
considerable extension of their results. During the same period,
however, fundamental investigations in the theory of finite
automata by and large fell out of fashion in the theoretical com
puter science community, which moved to other concerns."
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