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Author : Valery B. Kudryavtsev
Release : 2006-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 178/5 ( reviews)
Book Synopsis Structural Theory of Automata, Semigroups, and Universal Algebra by : Valery B. Kudryavtsev
Download or read book Structural Theory of Automata, Semigroups, and Universal Algebra written by Valery B. Kudryavtsev. This book was released on 2006-01-18. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups, Automata, Universal Algebra, Varieties
Author : Jorge Almeida
Release : 1995-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 565/5 ( reviews)
Book Synopsis Finite Semigroups And Universal Algebra by : Jorge Almeida
Download or read book Finite Semigroups And Universal Algebra written by Jorge Almeida. This book was released on 1995-01-27. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.
Author : Jürgen Dassow
Release : 1982-01-14
Genre : Computers
Kind : eBook
Book Rating : 870/5 ( reviews)
Book Synopsis Completeness Problems in the Structural Theory of Automata by : Jürgen Dassow
Download or read book Completeness Problems in the Structural Theory of Automata written by Jürgen Dassow. This book was released on 1982-01-14. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Completeness Problems in the Structural Theory of Automata".
Author : B. Mikolajczak
Release : 1991-01-14
Genre : Mathematics
Kind : eBook
Book Rating : 847/5 ( reviews)
Book Synopsis Algebraic and Structural Automata Theory by : B. Mikolajczak
Download or read book Algebraic and Structural Automata Theory written by B. Mikolajczak. This book was released on 1991-01-14. Available in PDF, EPUB and Kindle. Book excerpt: Automata Theory is part of computability theory which covers problems in computer systems, software, activity of nervous systems (neural networks), and processes of live organisms development.The result of over ten years of research, this book presents work in the following areas of Automata Theory: automata morphisms, time-varying automata, automata realizations and relationships between automata and semigroups.Aimed at those working in discrete mathematics and computer science, parts of the book are suitable for use in graduate courses in computer science, electronics, telecommunications, and control engineering. It is assumed that the reader is familiar with the basic concepts of algebra and graph theory.
Author : Saeed Salehi
Release : 2010-02
Genre :
Kind : eBook
Book Rating : 558/5 ( reviews)
Book Synopsis A Structural Theory for Varieties of Tree Languages by : Saeed Salehi
Download or read book A Structural Theory for Varieties of Tree Languages written by Saeed Salehi. This book was released on 2010-02. Available in PDF, EPUB and Kindle. Book excerpt: Trees are among the most fundamental and ubiquitous structures in mathematics and computer science. The notion of "tree" appears in many seemingly different areas from graph theory to universal algebra to logic. Tree languages and automata on trees have been studied extensively since the 1960s from both a purely mathematical and application point of view. Though the theory of tree automata and tree languages may have come into existence by generalizing string automata and languages, but it could not have stayed alive for long as a mere generalization. Apart from its intrinsic interest, this theory has found several applications and offers new perspectives to various parts of mathematical linguistics. It has been applied to the study of databases and XML schema languages, and provides tools for syntactic pattern recognition. When trees are defined as terms, universal algebra becomes directly applicable to tree automata and tree languages and, on the other hand, the theory of tree automata and tree languages suggests new notions and problems to universal algebra. In this book, the theory has been studied from the algebraic viewpoint.
