Computation and Automata

Author: Arto Salomaa
Publisher: Cambridge University Press
ISBN: 9780521302456
Format: PDF, Kindle
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In this book, which was originally published in 1985, Arto Salomaa gives an introduction to certain mathematical topics central to theoretical computer science: computability and recursive functions, formal languages and automata, computational complexity and cryptography.

Codes and Automata

Author: Jean Berstel
Publisher: Cambridge University Press
ISBN: 052188831X
Format: PDF, ePub, Mobi
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This major revision of Berstel and Perrin's classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays a significant role throughout the book, reflecting developments of the last 20 years. This is complemented by a discussion of the connection between codes and automata, and new material from the field of symbolic dynamics. The authors have also explored links with more practical applications, including data compression and cryptography. The treatment remains self-contained: there is background material on discrete mathematics, algebra and theoretical computer science. The wealth of exercises and examples make it ideal for self-study or courses. In summary, this is a comprehensive reference on the theory of variable-length codes and their relation to automata.

Unconventional Computation

Author: Cristian S. Calude
Publisher: Springer Science & Business Media
ISBN: 3642213405
Format: PDF, ePub, Docs
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This book constitutes the refereed proceedings of the 10th International Conference on Unconventional Computation, UC 2011, held in Turku, Finland, in June 2011. The 17 revised full papers presented together with 6 extended abstracts of invited talks, and 3 extended abstracts of tutorials were carefully reviewed and selected from 33 initial submissions. The papers are devoted to all aspects of unconventional computation theory as well as experiments and applications. Typical topics are: natural computing including quantum, cellular, molecular, membrane, neural, and evolutionary computing, as well as chaos and dynamical system-based computing, and various proposals for computational mechanisms that go beyond the Turing model.

Combinatorics Automata and Number Theory

Author: Valérie Berthé
Publisher: Cambridge University Press
ISBN: 0521515971
Format: PDF, ePub
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This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and its Applications cover their subjects comprehensively. Less important results may be summarised as exercises at the ends of chapters, For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes are encyclopedic references or manageable guides to major subjects.

Theory and Practice of Natural Computing

Author: Adrian-Horia Dediu
Publisher: Springer
ISBN: 3642338607
Format: PDF
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This book constitutes the refereed proceedings of the First International Conference, TPNC 2012, held in Tarragona, Spain, in October 2012. The 12 revised full papers presented together with 6 invited talks were carefully reviewed and selected from 34 submissions. The papers are organized in topical sections on nature-inspired models of computation; synthesizing nature by means of computation; nature-inspired materials; and information processing in nature.

Developments in Language Theory

Author: Masami Ito
Publisher: Springer Science & Business Media
ISBN: 3540404317
Format: PDF
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The refereed proceedings of the 6th International Conference on Developments in Language Theory, DLT 2002, held in Kyoto, Japan in September 2002. The 28 revised full papers presented together with 8 invited papers were carefully reviewed and selected from 63 submissions. Among the topics addressed are grammars and acceptors for strings, graphs, arrays, etc; efficient algorithms for languages; combinatorial and algebraic properties of languages; decision problems; relations to complexity theory, logic picture description and analysis, DNA computing, cryptography, concurrency, quantum computing, and algebraic systems.

Formal Languages Automata and Numeration Systems 1

Author: Michel Rigo
Publisher: John Wiley & Sons
ISBN: 1119008220
Format: PDF, Mobi
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Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.

Mathematical Foundations of Computer Science 1992

Author: Ivan M. Havel
Publisher: Springer
ISBN: 9783540558088
Format: PDF, ePub
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This volume contains 10 invited papers and 40 short communications contributed for presentation at the 17th Symposium on Mathematical Foundations of Computer Science, held in Prague, Czechoslovakia, August 24-28, 1992. The series of MFCS symposia, organized alternately in Poland and Czechoslovakia since 1972, has a long and well established tradition. The purpose of the series is to encourage high-quality research in all branches of theoretical computer science and to bring together specialists working actively in the area. Numerous topics are covered in this volume. The invited papers cover: range searching with semialgebraic sets, graph layout problems, parallel recognition and ranking of context-free languages, expansion of combinatorial polytopes, neural networks and complexity theory, theory of computation over stream algebras, methods in parallel algorithms, the complexity of small descriptions, weak parallel machines, and the complexity of graph connectivity.