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.
Produktkennzeichnungen
ISBN-10
0817637192
ISBN-13
9780817637194
eBay Product ID (ePID)
61207095
Produkt Hauptmerkmale
Produktart
Lehrbuch
Sprache
Englisch
Anzahl der Seiten
244 Seiten
Verlag
Birkhäuser Boston
Publikationsname
Finite Automata, Formal Logic, And Circuit Complexity
Autor
Howard Straubing
Format
Gebundene Ausgabe
Erscheinungsjahr
1994
Zusätzliche Produkteigenschaften
Hörbuch
No
Inhaltsbeschreibung
Hc Runder Rücken Kaschiert
Item Length
24cm
Item Height
1cm
Item Width
16cm
Buchreihe
Progress in Theoretical Computer Science
Item Weight
535g
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