Structural Theory of Automata, Semigroups, and Universal Algebra

Structural Theory of Automata, Semigroups, and Universal Algebra PDF Author: Valery B. Kudryavtsev
Publisher: Springer Science & Business Media
ISBN: 1402038178
Category : Mathematics
Languages : en
Pages : 448

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Book Description
Semigroups, Automata, Universal Algebra, Varieties

Structural Theory of Automata, Semigroups, and Universal Algebra

Structural Theory of Automata, Semigroups, and Universal Algebra PDF Author: Valery B. Kudryavtsev
Publisher: Springer Science & Business Media
ISBN: 1402038178
Category : Mathematics
Languages : en
Pages : 448

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Book Description
Semigroups, Automata, Universal Algebra, Varieties

A Structural Theory for Varieties of Tree Languages

A Structural Theory for Varieties of Tree Languages PDF Author: Saeed Salehi
Publisher: VDM Verlag Dr. Muller
ISBN: 3639230558
Category :
Languages : en
Pages : 35

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Book Description
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.

Profinite Semigroups and Symbolic Dynamics

Profinite Semigroups and Symbolic Dynamics PDF Author: Jorge Almeida
Publisher: Springer Nature
ISBN: 3030552152
Category : Mathematics
Languages : en
Pages : 283

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Book Description
This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.

Automata, Languages and Programming

Automata, Languages and Programming PDF Author: Luca Aceto
Publisher: Springer Science & Business Media
ISBN: 3540705821
Category : Computers
Languages : en
Pages : 751

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Book Description
ICALP 2008, the 35th edition of the International Colloquium on Automata, Languages and Programming, was held in Reykjavik, Iceland, July 7–11, 2008. ICALP is a series of annual conferences of the European Association for Th- reticalComputer Science(EATCS) which ?rsttook placein 1972.This year,the ICALP program consisted of the established Track A (focusing on algorithms, automata,complexityandgames)andTrackB(focusing onlogic,semanticsand theory of programming), and of the recently introduced Track C (focusing on security and cryptography foundations). In response to the call for papers, the Program Committees received 477 submissions, the highest ever: 269 for Track A, 122 for TrackB and 86 for Track C. Out of these, 126 papers were selected for inclusion in the scienti?c program: 70 papers for Track A, 32 for Track B and 24 for Track C. The selection was made by the Program Committees based on originality, quality, and relevance to theoretical computer science. The quality of the manuscripts was very high indeed, and many deserving papers could not be selected. ICALP 2008 consisted of ?ve invited lectures and the contributed papers.

Semigroups and Formal Languages

Semigroups and Formal Languages PDF Author: Jorge M. Andre
Publisher: World Scientific
ISBN: 9812708707
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.

Semigroups and Formal Languages

Semigroups and Formal Languages PDF Author: Jorge M. Andr‚
Publisher: World Scientific
ISBN: 9812707387
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.

Semigroups And Formal Languages - Proceedings Of The International Conference

Semigroups And Formal Languages - Proceedings Of The International Conference PDF Author: Gracinda M S Gomes
Publisher: World Scientific
ISBN: 9814475270
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.

Algebras, Lattices, Varieties

Algebras, Lattices, Varieties PDF Author: Ralph S. Freese
Publisher: American Mathematical Society
ISBN: 1470467976
Category : Mathematics
Languages : en
Pages : 496

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Book Description
This book is the second of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field. The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields. The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes.

Topological Duality for Distributive Lattices

Topological Duality for Distributive Lattices PDF Author: Mai Gehrke
Publisher: Cambridge University Press
ISBN: 1009349716
Category : Computers
Languages : en
Pages : 370

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Book Description
Introducing Stone–Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science PDF Author: Peter Höfner
Publisher: Springer
ISBN: 3319574183
Category : Mathematics
Languages : en
Pages : 335

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Book Description
This book constitutes the proceedings of the 16th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2017, held in Lyon, France, in May 2017. The 17 revised full papers and 2 invited papers presented together with 1 invited abstract were carefully selected from 28 submissions. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.