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A Structural Theory for Varieties of Tree Languages

2010-02
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Release : 2010-02
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Kind : eBook
Book Rating : 558/5 ( reviews)

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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.

Structural Theory of Automata, Semigroups, and Universal Algebra

2006-01-18 Mathematics
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Release : 2006-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 178/5 ( reviews)

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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

Developments in Language Theory

2003-08-03 Mathematics
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Release : 2003-08-03
Genre : Mathematics
Kind : eBook
Book Rating : 076/5 ( reviews)

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Book Synopsis Developments in Language Theory by : Zoltán Ésik

Download or read book Developments in Language Theory written by Zoltán Ésik. This book was released on 2003-08-03. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 7th International Conference on Developments in Language Theory, DLT 2003, held in Szeged, Hungary, in July 2003. The 27 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 57 submissions. All current aspects in language theory are addressed, in particular grammars, acceptors, and transducers for strings, trees, graphs, arrays, etc; algebraic theories for automata and languages; combinatorial properties of words and languages; formal power series; decision problems; efficient algorithms for automata and languages; and relations to complexity theory and logic, picture description and analysis, DNA computing, quantum computing, cryptography, and concurrency.

Automata Theory and its Applications

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 713/5 ( reviews)

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Book Synopsis Automata Theory and its Applications by : Bakhadyr Khoussainov

Download or read book Automata Theory and its Applications written by Bakhadyr Khoussainov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The theory of finite automata on finite stings, infinite strings, and trees has had a dis tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin's 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist's toolbox. Suppose that we take a computer scientist's point of view. One can think of finite automata as the mathematical representation of programs that run us ing fixed finite resources. Then Btichi's SIS can be thought of as a theory of programs which run forever (like operating systems or banking systems) and are deterministic. Finally, Rabin's S2S is a theory of programs which run forever and are nondeterministic. Indeed many questions of verification can be decided in the decidable theories of these automata.

SOFSEM 2024

2024 Computer science
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Release : 2024
Genre : Computer science
Kind : eBook
Book Rating : 137/5 ( reviews)

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Book Synopsis SOFSEM 2024 by : Henning Fernau

Download or read book SOFSEM 2024 written by Henning Fernau. This book was released on 2024. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 49th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2024, held in Cochem, Germany, in February 2024. The 33 full papers presented in this book were carefully reviewed and selected from 81 submissions. The book also contains one invited talk in full paper length. They focus on original research and challenges in foundations of computer science including algorithms, AI-based methods, computational complexity, and formal models.

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