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Structural Theory Of Automata Semigroups And Universal Algebra
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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 and published by Springer Science & Business Media. This book was released on 2006-01-18 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups, Automata, Universal Algebra, Varieties
Book Synopsis Finite Semigroups and Universal Algebra by : Jorge Almeida
Download or read book Finite Semigroups and Universal Algebra written by Jorge Almeida and published by World Scientific. This book was released on 1994 with total page 540 pages. 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.
Book Synopsis Algebraic and Structural Automata Theory by : B. Mikolajczak
Download or read book Algebraic and Structural Automata Theory written by B. Mikolajczak and published by Elsevier. This book was released on 1991-01-14 with total page 401 pages. 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.
Book Synopsis Graph Algebras and Automata by : Andrei Kelarev
Download or read book Graph Algebras and Automata written by Andrei Kelarev and published by CRC Press. This book was released on 2003-07-08 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph algebras possess the capacity to relate fundamental concepts of computer science, combinatorics, graph theory, operations research, and universal algebra. They are used to identify nontrivial connections across notions, expose conceptual properties, and mediate the application of methods from one area toward questions of the other four. After a concentrated review of the prerequisite mathematical background, Graph Algebras and Automata defines graph algebras and reveals their applicability to automata theory. It proceeds to explore assorted monoids, semigroups, rings, codes, and other algebraic structures and to outline theorems and algorithms for finite state automata and grammars.
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 and published by VDM Verlag Dr. Muller. This book was released on 2010-02 with total page 35 pages. 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.
Book Synopsis Profinite Semigroups and Symbolic Dynamics by : Jorge Almeida
Download or read book Profinite Semigroups and Symbolic Dynamics written by Jorge Almeida and published by Springer Nature. This book was released on 2020-09-10 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Automata, Languages and Programming by : Luca Aceto
Download or read book Automata, Languages and Programming written by Luca Aceto and published by Springer Science & Business Media. This book was released on 2008-06-24 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Semigroups and Formal Languages by : Jorge M. Andre
Download or read book Semigroups and Formal Languages written by Jorge M. Andre and published by World Scientific. This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Semigroups and Formal Languages by : Jorge M. Andr
Download or read book Semigroups and Formal Languages written by Jorge M. Andr and published by World Scientific. This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Semigroups and Formal Languages by :
Download or read book Semigroups and Formal Languages written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automata, Languages, and Programming by : Magnús M. Halldórsson
Download or read book Automata, Languages, and Programming written by Magnús M. Halldórsson and published by Springer. This book was released on 2015-06-19 with total page 1111 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 9134 and LNCS 9135 constitutes the refereed proceedings of the 42nd International Colloquium on Automata, Languages and Programming, ICALP 2015, held in Kyoto, Japan, in July 2015. The 143 revised full papers presented were carefully reviewed and selected from 507 submissions. The papers are organized in the following three tracks: algorithms, complexity, and games; logic, semantics, automata, and theory of programming; and foundations of networked computation: models, algorithms, and information management.
Book Synopsis Algebras, Lattices, Varieties by : Ralph S. Freese
Download or read book Algebras, Lattices, Varieties written by Ralph S. Freese and published by American Mathematical Society. This book was released on 2022-10-28 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Complexity of Constraints by : Nadia Creignou
Download or read book Complexity of Constraints written by Nadia Creignou and published by Springer. This book was released on 2008-12-23 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays constraint satisfaction problems (CSPs) are ubiquitous in many different areas of computer science, from artificial intelligence and database systems to circuit design, network optimization, and theory of programming languages. Consequently, it is important to analyze and pinpoint the computational complexity of certain algorithmic tasks related to constraint satisfaction. The complexity-theoretic results of these tasks may have a direct impact on, for instance, the design and processing of database query languages, or strategies in data-mining, or the design and implementation of planners. This state-of-the-art survey contains the papers that were invited by the organizers after conclusion of an International Dagstuhl-Seminar on Complexity of Constraints, held in Dagstuhl Castle, Germany, in October 2006. A number of speakers were solicited to write surveys presenting the state of the art in their area of expertise. These contributions were peer-reviewed by experts in the field and revised before they were collated to the 9 papers of this volume. In addition, the volume contains a reprint of a survey by Kolaitis and Vardi on the logical approach to constraint satisfaction that first appeared in 'Finite Model Theory and its Applications', published by Springer in 2007.
Book Synopsis Algebraic Structures in Automata and Database Theory by : B I Plotkin
Download or read book Algebraic Structures in Automata and Database Theory written by B I Plotkin and published by World Scientific. This book was released on 1992-12-10 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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:PrefacePreliminariesPure AutomataConstructions and Decomposition of Pure AutomataLinear AutomataVarieties of AutomataAutomata Model of DatabaseBibliographyIndex Readership: Graduate students in mathematics and mathematicians. keywords:Automata;Database Theory;Fuzzy Automata;Stochastic Automata;Linear Automata
Book Synopsis Relational and Algebraic Methods in Computer Science by : Peter Höfner
Download or read book Relational and Algebraic Methods in Computer Science written by Peter Höfner and published by Springer. This book was released on 2017-05-08 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topological Duality for Distributive Lattices by : Mai Gehrke
Download or read book Topological Duality for Distributive Lattices written by Mai Gehrke and published by Cambridge University Press. This book was released on 2024-02-29 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Automata, Languages and Programming by : Samson Abramsky
Download or read book Automata, Languages and Programming written by Samson Abramsky and published by Springer Science & Business Media. This book was released on 2010-06-30 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 6198 and LNCS 6199 constitutes the refereed proceedings of the 37th International Colloquium on Automata, Languages and Programming, ICALP 2010, held in Bordeaux, France, in July 2010. The 106 revised full papers (60 papers for track A, 30 for track B, and 16 for track C) presented together with 6 invited talks were carefully reviewed and selected from a total of 389 submissions. The papers are grouped in three major tracks on algorithms, complexity and games; on logic, semantics, automata, and theory of programming; as well as on foundations of networked computation: models, algorithms and information management. LNCS 6199 contains 46 contributions of track B and C selected from 167 submissions as well as 4 invited talks.
