Algebraic Structures in Automata and Database Theory

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Product Details

  • ISBN-13: 9789810209360
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 12/28/1992
  • Pages: 296
  • Product dimensions: 6.36 (w) x 8.90 (h) x 0.80 (d)

Table of Contents

Preface
Preliminaries 1
1. Sets 1
2. [Omega]-algebras 2
3. Main structures 4
4. Representations 7
5. Categories 9
Ch. 1 Pure Automata 11
1.1 Basic concepts 11
1.2 Universal automata 27
1.3 Moore automata 36
1.4 Free pure automata 49
1.5 Generalizations 55
Ch. 2 Constructions and Decomposition of Pure Automata 73
2.1 Constructions 74
2.2 Decomposition of finite pure automata 89
Ch. 3 Linear Automata 105
3.1 Basic concepts 105
3.2 Constructions. Decomposition of automata 120
3.3 Automorphisms of linear automata and biautomata 146
Ch. 4 Varieties of Automata 155
4.1 Identities of pure automata 155
4.2 Varieties of pure automata 166
4.3 Identities of linear automata and biautomata 179
4.4 Varieties of biautomata 191
4.5 Quasivarieties of automata 216
Ch. 5 Automata Model of Database 237
5.1 *-automata 237
5.2 Database scheme, Halmos algebras 241
5.3 Database model 247
5.4 Homomorphisms of databases 251
5.5 Constructive databases 255
5.6 Constructions in database theory 263
Bibliography 269
Index 277
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