Applications Of Automata Theory And Algebra

Download or read book Applications of Automata Theory and Algebra written by John L. Rhodes and published by World Scientific. This book was released on 2010 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 The unpublished manuscript, often referred to as "The Wild Book," became an underground classic, continually requested in manuscript form, and read by many leading researchers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.

Download or read book Automata and Algebras in Categories written by Jirí Adámek and published by Springer Science & Business Media. This book was released on 1990-08-31 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl

Download or read book Algebraic Theory of Automata and Languages written by Masami It? and published by World Scientific. This book was released on 2004 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Automata Theory and its Applications written by Bakhadyr Khoussainov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of finite automata on finite stings, infinite strings, and trees has had a dis tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin's 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist's toolbox. Suppose that we take a computer scientist's point of view. One can think of finite automata as the mathematical representation of programs that run us ing fixed finite resources. Then Btichi's SIS can be thought of as a theory of programs which run forever (like operating systems or banking systems) and are deterministic. Finally, Rabin's S2S is a theory of programs which run forever and are nondeterministic. Indeed many questions of verification can be decided in the decidable theories of these automata.

Download or read book Codes and Automata written by Jean Berstel and published by Cambridge University Press. This book was released on 2010 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Noncommutative Rational Series with Applications written by Jean Berstel and published by Cambridge University Press. This book was released on 2011 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern account of the subject and its applications. Excellent resource for those working in algebra and theoretical computer science.

Download or read book Algebraic Automata Theory written by M. Holcombe and published by Cambridge University Press. This book was released on 2004-06-03 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original publisher: Washington, DC: U.S. Dept. of Transportation, Federal Aviation Administration, Office of Aerospace Medicine, 2003] OCLC Number: (OCoLC)74267777 Subject: Airplanes -- Cockpits. Excerpt: ... -9 +-5; * /- (-8 89 @ 9 @ 2: BGH9 @ > BD9D; 9 @: > C9 D2 D286 ? 7 @: 8 2CC: CD2 > 46 D? 4? = @ D6B7246 D2C; C # &-? I 1.94 * 7 + 492 > 86 D? ., 0 = 2 @ 5: C @ ? + B6 =? F6 9: 89 2 86 = 2 @ 5: C @ ? BD9 " E @ D? DB24; " E @ * 6 = 3?; 9 + C6 5 ? F6B * 9; + 05 / + C6D -/ 1 D?: > D6B46 @ D 2CC: 8 > 65 B25: 2 C6BD 2CC: 8 > 65: > D6BC64D: ? > > D? 7 7? B 9? 8 @ B? 465EB6 *: -; 03, + C6 65 ? ED3? E > 5 B25: 2 8 @ B? 465EB6 * 03,15 + C6D: > 3? E > 5 B25: 2 4: > 8 * 3, * 77 + D6B D96 2 2D6 2: B @? BD: > D? D96 7 * 3, * 77 + 2D6 2: B @? BD # of levels within Flight Task showed that the last four tasks Figure 9 shows the root-mean-square cross-track error, were judged to have produced significantly higher workload by display type, for three flight segments. The inbound than the first three tasks, t ( 15...