Graph Algebras and Automata

1st Edition

Andrei Kelarev

CRC Press
Published July 8, 2003
Reference - 344 Pages
ISBN 9780824747084 - CAT# DK2902
Series: Chapman & Hall/CRC Pure and Applied Mathematics

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Summary

Graph algebras possess the capacity to relate fundamental concepts of computer science, combinatorics, graph theory, operations research, and universal algebra. They are used to identify nontrivial connections across notions, expose conceptual properties, and mediate the application of methods from one area toward questions of the other four. After a concentrated review of the prerequisite mathematical background, Graph Algebras and Automata defines graph algebras and reveals their applicability to automata theory. It proceeds to explore assorted monoids, semigroups, rings, codes, and other algebraic structures and to outline theorems and algorithms for finite state automata and grammars.

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