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Algebraic Structures In Automata And Database Theory (Series On Soviet And East European Mathematics 13)

Algebraic Structures In Automata And Database Theory (Series On Soviet And East European Mathematics 13)

By: L. Ja Greenglaz (author), B. I. Plotkin (author), A. A. Gvaramija (author)Hardback

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Description

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.

Contents

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.

Product Details

  • ISBN13: 9789810209360
  • Format: Hardback
  • Number Of Pages: 296
  • ID: 9789810209360
  • ISBN10: 9810209363

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