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.
The volume contains the proceedings of the 16th Spring School on Theoretical Computer Science held in Ramatuelle, France, in May 1988. It is a unique combination of research level articles on various aspects of the theory of finite automata and its applications. Advances made in the last five years on the mathematical foundations form the first part of the book. The second part is devoted to the important problems of the theory including star-height, concatenation hierarchies, and connections with logic and word problems. The last part presents a large variety of possible applications: number theory, distributed systems, algorithms on strings, theory of codes, complexity of boolean circuits and others.
Throughout history, the mysterious dark skies above us have inspired our imaginations in countless ways, influencing our endeavours in science and philosophy, religion, literature and art. Heavenly Treasures is a truly beautiful book showing the richness of astronomical theories and illustrations in Western civilization through the ages, exploring their evolution, and comparing ancient and modern throughout. From Greek verse, mediaeval manuscripts and Victorian poetry to spacecraft photographs and computer-generated star charts, the unprecedented wealth of these portrayals is quite breathtaking.
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.
This book constitutes the thoroughly refereed post-workshop proceedings of the Third International Workshop on Implementing Automata, WIA'98, held in Rouen, France, in September 1998. The 21 revised full papers presented were carefully selected from the workshop contributions after several rounds of reviewing. The papers are devoted to issues of implementing automata of various types important for areas such as parsing, computational linguistics, speech recognition, text searching, device controlers, distributed systems, and protocol analysis.
The 7th International Conference on Implementation and Application of Au- mata (CIAA 2002) was held at the Universit ́ e Fran ̧ cois Rabelais of Tours, in Tours, France, on July 3–5, 2002. This volume of Lecture Notes in Computer Science contains all the papers that were presented at CIAA 2002, as well as the abstracts of the poster papers that were displayed during the conference. The conference addressed issues in automata application and implemen- tion. Thetopicsofthepaperspresentedinthisconferencerangedfromautomata applications in software engineering, natural language and speech recognition, and image processing, to new representations and algorithms for e?cient imp- mentation of automata and related structures. Automata theory is one of the oldest areas in computer science. Research in automata theory has always been motivated by its applications since its early stage of development. In the 1960s and 1970s, automata research was motivated heavily by problems arising from compiler construction, circuit design, string matching, etc. In recent years, many new applications of automata have been found in various areas of computer science as well as in other disciplines. - amples of the new applications include statecharts in object-oriented modeling, ?nite transducers in natural language processing, and nondeterministic ?ni- state models in communication protocols. Many of the new applications cannot simply utilize the existing models and algorithms in automata theory in the - lution to their problems. New models, or modi?cations of the existing models, are needed to satisfy their requirements.
Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.
Reprint of the original, first published in 1871. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
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