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Author : Derek F. Holt,Sarah Rees,Claas E. Röver
Publisher : Cambridge University Press
Page : 307 pages
File Size : 55,7 Mb
Release : 2017-02-23
Category : Mathematics
ISBN : 9781107152359
A reference book discussing applications of formal language theory to group theory, particularly geometric and computational group theory.
Author : Ian M. Chiswell
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 44,7 Mb
Release : 2008-11-14
Category : Mathematics
ISBN : 9781848009400
This book is based on notes for a master’s course given at Queen Mary, University of London, in the 1998/9 session. Such courses in London are quite short, and the course consisted essentially of the material in the ?rst three chapters, together with a two-hour lecture on connections with group theory. Chapter 5 is a considerably expanded version of this. For the course, the main sources were the books by Hopcroft and Ullman ([20]), by Cohen ([4]), and by Epstein et al. ([7]). Some use was also made of a later book by Hopcroft and Ullman ([21]). The ulterior motive in the ?rst three chapters is to give a rigorous proof that various notions of recursively enumerable language are equivalent. Three such notions are considered. These are: generated by a type 0 grammar, recognised by a Turing machine (deterministic or not) and de?ned by means of a Godel ̈ numbering, having de?ned “recursively enumerable” for sets of natural numbers. It is hoped that this has been achieved without too many ar- ments using complicated notation. This is a problem with the entire subject, and it is important to understand the idea of the proof, which is often quite simple. Two particular places that are heavy going are the proof at the end of Chapter 1 that a language recognised by a Turing machine is type 0, and the proof in Chapter 2 that a Turing machine computable function is partial recursive.
Author : Gracinda M S Gomes,Jean-Éric Pin,Pedro V Silva
Publisher : World Scientific
Page : 528 pages
File Size : 50,8 Mb
Release : 2002-11-26
Category : Mathematics
ISBN : 9789814487894
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. 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 Thérien)Decidability Problems in Finite Semigroups (P G Trotter)and other papers Readership: Researchers, academics and graduate students in pure mathematics and computer science. Keywords:
Author : Carlos Martín-Vide,Alexander Okhotin,Dana Shapira
Publisher : Springer
Page : 470 pages
File Size : 43,9 Mb
Release : 2019-03-12
Category : Computers
ISBN : 9783030134358
This book constitutes the refereed proceedings of the 13th International Conference on Language and Automata Theory and Applications, LATA 2019, held in St. Petersburg, Russia, in March 2019. The 31 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 98 submissions. The papers cover the following topics: Automata; Complexity; Grammars; Languages; Graphs, trees and rewriting; and Words and codes.
Author : Masami It?
Publisher : World Scientific
Page : 210 pages
File Size : 54,8 Mb
Release : 2004
Category : Mathematics
ISBN : 9789810247270
Although there are some books dealing with algebraic theory of automata, their contents consist mainly of Krohn-Rhodes theory and related topics. The topics in the present book are rather different. For example, automorphism groups of automata and the partially ordered sets of automata are systematically discussed. Moreover, some operations on languages and special classes of regular languages associated with deterministic and nondeterministic directable automata are dealt with. The book is self-contained and hence does not require any knowledge of automata and formal languages.
Author : Peter Linz
Publisher : Jones & Bartlett Publishers
Page : 408 pages
File Size : 43,7 Mb
Release : 1997
Category : Computers
ISBN : UOM:49015002666619
An Introduction to Formal Languages & Automata provides an excellent presentation of the material that is essential to an introductory theory of computation course. The text was designed to familiarize students with the foundations & principles of computer science & to strengthen the students' ability to carry out formal & rigorous mathematical argument. Employing a problem-solving approach, the text provides students insight into the course material by stressing intuitive motivation & illustration of ideas through straightforward explanations & solid mathematical proofs. By emphasizing learning through problem solving, students learn the material primarily through problem-type illustrative examples that show the motivation behind the concepts, as well as their connection to the theorems & definitions.
Author : Carlos Martin-Vide,Friedrich Otto,Henning Fernau
Publisher : Springer
Page : 500 pages
File Size : 42,9 Mb
Release : 2008-09-25
Category : Mathematics
ISBN : 9783540882824
This book constitutes the refereed proceedings of the Second International Conference on Language and Automata Theory and Applications, LATA 2008, held in Tarragona, Spain, in March 2008. The 40 revised full papers presented were carefully reviewed and selected from 134 submissions. The papers deal with the various issues related to automata theory and formal languages
Author : Alexandre Borovik
Publisher : American Mathematical Soc.
Page : 348 pages
File Size : 55,8 Mb
Release : 2005
Category : Mathematics
ISBN : 9780821836187
Since the pioneering works of Novikov and Maltsev, group theory has been a testing ground for mathematical logic in its many manifestations, from the theory of algorithms to model theory. The interaction between logic and group theory led to many prominent results which enriched both disciplines. This volume reflects the major themes of the American Mathematical Society/Association for Symbolic Logic Joint Special Session (Baltimore, MD), Interactions between Logic, Group Theory and Computer Science. Included are papers devoted to the development of techniques used for the interaction of group theory and logic. It is suitable for graduate students and researchers interested in algorithmic and combinatorial group theory. A complement to this work is Volume 349 in the AMS series, Contemporary Mathematics, Computational and Experimental Group Theory, which arose from the same meeting and concentrates on the interaction of group theory and computer science.
Author : Shmuel Tomi Klein,Carlos Martín-Vide,Dana Shapira
Publisher : Springer
Page : 321 pages
File Size : 46,9 Mb
Release : 2018-04-03
Category : Computers
ISBN : 9783319773131
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.
Author : J.B. Fountain
Publisher : Springer
Page : 0 pages
File Size : 55,7 Mb
Release : 1995-06-14
Category : Mathematics
ISBN : 9401101493
This volume presents the core of invited expository lectures given at the 1993 NATO ASI held at the University of York. The subject matter of the ASI was the interplay between automata, semigroups, formal languages and groups. The invited talks were of an introductory nature but at a high level and many reached the cutting edge of research in the area. The lectures were given to a mixed group of students and specialists and were designed to be accessible to a broad audience. The papers were written in a similar spirit in the hope that their readership will be as wide as possible. With one exception they are all based on the talks which the lecturers gave at the meeting. The exception is caused by the fact that due to unanticipated progress the topic of John Rhodes' talk is now in such a state of flux that it has not been possible to produce a paper giving a clear picture of the situation. However, we do include an article by a member of the "Rhodes school" , namely Christopher Nehaniv, expanding on a contributed talk he gave. It generalizes the celebrated Krohn-Rhodes theorem for finite semigroups to all semigroups. For many years there has been a strong link between formal language theory and the theory of semigroups. Each subject continues to influence the other.
Author : Carlos Martin-Vide,Friedrich Otto,Henning Fernau
Publisher : Springer Science & Business Media
Page : 512 pages
File Size : 47,8 Mb
Release : 2008-10-08
Category : Computers
ISBN : 9783540882817
This book constitutes the refereed proceedings of the Second International Conference on Language and Automata Theory and Applications, LATA 2008, held in Tarragona, Spain, in March 2008. The 40 revised full papers presented were carefully reviewed and selected from 134 submissions. The papers deal with the various issues related to automata theory and formal languages
Author : Robert H. Gilman
Publisher : American Mathematical Soc.
Page : 150 pages
File Size : 49,5 Mb
Release : 1999
Category : Formal languages
ISBN : 9780821810538
This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science held at Mount Holyoke College (South Hadley, MA). The conference was devoted to computational aspects of geometric group theory, a relatively young area of research which has grown out of an influx of ideas from topology and computer science into combinatorial group theory. The book reflects recent progress in this interesting new field. Included are articles about insights from computer experiments, applications of formal language theory, decision problems, and complexity problems. There is also a survey of open questions in combinatorial group theory. The volume will interest group theorists, topologists, and experts in automata and language theory.
Author : Serge Abiteboul,Eli Shamir
Publisher : Springer Science & Business Media
Page : 668 pages
File Size : 51,5 Mb
Release : 1994-06-15
Category : Computers
ISBN : 3540582010
This volume constitutes the proceedings of the 21st International Colloquium on Automata, Languages and Programming (ICALP 94), held at Jerusalem in July 1994. ICALP is an annual conference sponsored by the European Association on Theoretical Computer Science (EATCS). The proceedings contains 48 refereed papers selected from 154 submissions and 4 invited papers. The papers cover the whole range of theoretical computer science; they are organized in sections on theory of computation, automata and computation models, expressive power, automata and concurrency, pattern matching, data structures, computational complexity, logic and verification, formal languages, term rewriting, algorithms and communications, graph algorithms, randomized complexity, various algorithms.
Author : David B.A. Epstein
Publisher : CRC Press
Page : 344 pages
File Size : 54,5 Mb
Release : 1992-11-02
Category : Mathematics
ISBN : 9781439865699
This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to
Author : Nelma Moreira,Rogério Reis
Publisher : Springer Nature
Page : 394 pages
File Size : 46,9 Mb
Release : 2021-08-06
Category : Computers
ISBN : 9783030815080
This book constitutes the proceedings of the 25th International Conference on Developments in Language Theory, DLT 2021, which was held in Porto, Portugal, during August 16-20, 2021. The conference took place in an hybrid format with both in-person and online participation. The 27 full papers included in these proceedings were carefully reviewed and selected from 48 submissions. The DLT conference series provides a forum for presenting current developments in formal languages and automata. Its scope is very general and includes, among others, the following topics and areas: grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; algorithmic, combinatorial, and algebraic properties of words and languages; variable length codes; symbolic dynamics; cellular automata; polyominoes and multidimensional patterns; decidability questions; image manipulation and compression; efficient text algorithms; relationships to cryptography, concurrency, complexity theory, and logic; bio-inspired computing; quantum computing. The book also includes 3 invited talks in full paper length.
