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Author: Gracinda M. S. Gomes
Publisher: World Scientific
ISBN: 981238099X
Category : Technology & Engineering
Languages : en
Pages : 526
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Book Description
The thematic term on ?Semigroups, Algorithms, Automata and Languages? organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science.This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included.
Author: Gracinda M. S. Gomes
Publisher: World Scientific
ISBN: 981238099X
Category : Technology & Engineering
Languages : en
Pages : 526
Get Book Here
Book Description
The thematic term on ?Semigroups, Algorithms, Automata and Languages? organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science.This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included.
Author: Gracinda M. S. Gomes
Publisher: World Scientific
ISBN: 9789812776884
Category : Mathematics
Languages : en
Pages : 536
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Book Description
The thematic term on OC Semigroups, Algorithms, Automata and LanguagesOCO organized at the International Centre of Mathematics (Coimbra, Portugal) in MayOCoJuly 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science. This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included. Contents: Finite Semigroups: An Introduction to a Unified Theory of Pseudovarieties (J Almeida); On Existence Varieties of Regular Semigroups (K Auinger); Varieties of Languages (M J J Branco); A Short Introduction to Automatic Group Theory (C Choffrut); Some Results on Semigroup-Graded Rings (W D Munn); Profinite Groups and Applications to Finite Semigroups (L Ribes); Dynamics of Finite Semigroups (J Almeida); Finite Semigroups Imposing Tractable Constraints (A Bulatov et al.); On the Efficiency and Deficiency of Rees Matrix Semigroups (C M Campbell et al.); Some Pseudovariety Joins Involving Groups and Locally Trivial Semigroups (J C Costa); Partial Action of Groups on Relational Structures: A Connection Between Model Theory and Profinite Topology (T Coulbois); Some Relatives of Automatic and Hyperbolic Groups (M Hoffmann et al.); A Sampler of a Topological Approach to Inverse Semigroups (B Steinberg); Finite Semigroups and the Logical Description of Regular Languages (H Straubing); Diamonds are Forever: The Variety DA (P Tesson & D Th(r)rien); Decidability Problems in Finite Semigroups (P G Trotter); and other papers. Readership: Researchers, academics and graduate students in pure mathematics and computer science."
Author: Aldo de Luca
Publisher: Springer Science & Business Media
ISBN: 3642598498
Category : Computers
Languages : en
Pages : 251
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Book Description
This is a rigorous and self-contained monograph on a central topic in theoretical computer science. For the first time in book form, original results from the last ten years are presented, some previously unpublished, using combinatorial and algebraic methods. These are mainly based on combinatorics on words and especially on the theory of "unavoidable regularities." Researchers will find important new results on semigroups and formal languages, as well as various applications for these methods.
Author: Dominique Perrin
Publisher: Academic Press
ISBN: 9780125321112
Category : Computers
Languages : en
Pages : 560
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Book Description
Infinite Words is an important theory in both Mathematics and Computer Sciences. Many new developments have been made in the field, encouraged by its application to problems in computer science. Infinite Words is the first manual devoted to this topic. Infinite Words explores all aspects of the theory, including Automata, Semigroups, Topology, Games, Logic, Bi-infinite Words, Infinite Trees and Finite Words. The book also looks at the early pioneering work of Büchi, McNaughton and Schützenberger. Serves as both an introduction to the field and as a reference book. Contains numerous exercises desgined to aid students and readers. Self-contained chapters provide helpful guidance for lectures.
Author: P.A. Grillet
Publisher: Springer Science & Business Media
ISBN: 1475733895
Category : Mathematics
Languages : en
Pages : 443
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Book Description
This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on semigroups or who encounter commutative semigroups in their research.
Author:
Publisher: Academic Press
ISBN: 0080874363
Category : Mathematics
Languages : en
Pages : 451
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Book Description
Theory of Codes
Author: John N. Mordeson
Publisher: Springer
ISBN: 3540371257
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld used the notion of a fuzzy subset to put forth cornerstone papers in several areas of mathematics, among other discplines. Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory of semigroups. Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. We concentrate mainly on theoretical aspects, but we do include applications. The applications are in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. An extensive account of fuzzy automata and fuzzy languages is given in [100]. Consequently, we only consider results in these areas that have not appeared in [100] and that pertain to semigroups. In Chapter 1, we review some basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages. The purpose of this chapter is to present basic results that are needed in the remainder of the book. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy interior ideals, fuzzy quasi ideals, and fuzzy generalized bi-ideals.
Author: John L. Rhodes
Publisher: World Scientific
ISBN: 9812836969
Category : Mathematics
Languages : en
Pages : 293
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Book Description
This book was originally written in 1969 by Berkeley mathematician John Rhodes. It is the founding work in what is now called algebraic engineering, an emerging field created by using the unifying scheme of finite state machine models and their complexity to tie together many fields: finite group theory, semigroup theory, automata and sequential machine theory, finite phase space physics, metabolic and evolutionary biology, epistemology, mathematical theory of psychoanalysis, philosophy, and game theory. The author thus introduced a completely original algebraic approach to complexity and the understanding of finite systems. The unpublished manuscript, often referred to as "The Wild Book," became an underground classic, continually requested in manuscript form, and read by many leading researchers in mathematics, complex systems, artificial intelligence, and systems biology. Yet it has never been available in print until now. This first published edition has been edited and updated by Chrystopher Nehaniv for the 21st century. Its novel and rigorous development of the mathematical theory of complexity via algebraic automata theory reveals deep and unexpected connections between algebra (semigroups) and areas of science and engineering. Co-founded by John Rhodes and Kenneth Krohn in 1962, algebraic automata theory has grown into a vibrant area of research, including the complexity of automata, and semigroups and machines from an algebraic viewpoint, and which also touches on infinite groups, and other areas of algebra. This book sets the stage for the application of algebraic automata theory to areas outside mathematics. The material and references have been brought up to date bythe editor as much as possible, yet the book retains its distinct character and the bold yet rigorous style of the author. Included are treatments of topics such as models of time as algebra via semigroup theory; evolution-complexity relations applicable to both ontogeny and evolution; an approach to classification of biological reactions and pathways; the relationships among coordinate systems, symmetry, and conservation principles in physics; discussion of "punctuated equilibrium" (prior to Stephen Jay Gould); games; and applications to psychology, psychoanalysis, epistemology, and the purpose of life. The approach and contents will be of interest to a variety of researchers and students in algebra as well as to the diverse, growing areas of applications of algebra in science and engineering. Moreover, many parts of the book will be intelligible to non-mathematicians, including students and experts from diverse backgrounds.
Author: Gracinda M S Gomes
Publisher: World Scientific
ISBN: 9814487899
Category : Mathematics
Languages : en
Pages : 526
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Book Description
The thematic term on “Semigroups, Algorithms, Automata and Languages” organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science.This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included.
Author: Shmuel Tomi Klein
Publisher: Springer
ISBN: 3319773135
Category : Computers
Languages : en
Pages : 331
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Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Language and Automata Theory and Applications, LATA 2018, held in Ramat Gan, Israel, in April 2018.The 20 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 58 submissions. The papers cover fields like algebraic language theory, algorithms for semi-structured data mining, algorithms on automata and words, automata and logic, automata for system analysis and programme verification, automata networks, automatic structures, codes, combinatorics on words, computational complexity, concurrency and Petri nets, data and image compression, descriptional complexity, foundations of finite state technology, foundations of XML, grammars (Chomsky hierarchy, contextual, unification, categorial, etc.), grammatical inference and algorithmic learning, graphs and graph transformation, language varieties and semigroups, language-based cryptography, mathematical and logical foundations of programming methodologies, parallel and regulated rewriting, parsing, patterns, power series, string processing algorithms, symbolic dynamics, term rewriting, transducers, trees, tree languages and tree automata, and weighted automata.
