Algebraic structures in automata and databases theory
著者
書誌事項
Algebraic structures in automata and databases theory
World Scientific, 1992
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注記
Bibliography: p. 269-275
Includes index
内容説明・目次
内容説明
The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases.
目次
- Part 1 Pure automata: main notions
- universal automata
- moors automata
- constructions
- decomposition of finite pure automata
- free pure automata
- generalizations. Part 2 Linear automata: main properties
- constructions
- decompositions of linear automata and biautomata
- automorphisms of linear automata. Part 3 Varieties of automata: identities of pure automata
- varieties of pure automata
- identities of linear automata and biautomata
- varieties of biautomata
- quasivarieties of automata. Part 4 Automaton's model of databases: *-automata
- polyadic and cylindric algebras
- universal *-automaton
- databases
- dynamical databases.
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