AN INTRODUCTION TO AUTOMATA TH by Shields

AN INTRODUCTION TO AUTOMATA TH by Shields

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Summary

An introduction to the elementary structure theory of finite state machines, discussing what it means for one machine to implement another, using the notation of a realization, and in particular, the notion of machine reduction.

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AN INTRODUCTION TO AUTOMATA TH by Shields

This book is an introduction to the elementary structure theory of finite state machines. After preliminary definitions, the book discusses what it means for one machine to implement another, using the notation of a realization, and in particular, the notion of machine reduction. Reference is made to the fact that machines form a category, with realizations as morphisms. Next, the serial and parallel composition of machines are looked at and it is shown that these operations satisfy certain algebraic relations up to isomorphism. The Hartmanis-Yoeli parallel and serial decomposition theorems, which depend on congruence relations of the state space of a machine are then presented. Subsequent chapters investigate the computation of the set of all such congruences, making use of the fact that they form a lattice. Finally, the lattice of congruences are used to analyze machine decomposition.
SKU Unavailable
ISBN 13 9780632015542
ISBN 10 0632015543
Title AN INTRODUCTION TO AUTOMATA TH
Author Shields
Condition Unavailable
Binding Type Other merchandise
Publisher McGraw-Hill Education - Europe
Year published 1988-01-16
Number of pages 240
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.