Graph algebras and automata
著者
書誌事項
Graph algebras and automata
(Monographs and textbooks in pure and applied mathematics, 257)
Marcel Dekker, c2003
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注記
Bibliography: p. 329-350
Includes index
内容説明・目次
内容説明
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.
目次
Preface, 1. Preliminaries, 2. Algebraic Structures, 3. Automata and Languages, 4. Syntactic Monoids of Automata, 5. Congruences on Automata, 6. Minimal Automata, 7. Languages, 8. Tree Languages, 9. Equational Theories, 10. Groupoid Rings, 11. Dualities, Topologies, Flatness, 12. Open Problems, Appendix A. Glossary of Notation, Bibliography, Index
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