Download or read book Modern Aspects of Classical Automata Theory written by Sebastian Jakobi and published by Logos Verlag Berlin GmbH. This book was released on 2015-03-30 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regular languages have a wide area of applications. This makes it an important task to convert between different forms of regular language representations, and to compress the size of such representations. This book studies modern aspects of compressions and conversions of regular language representations. The first main part presents methods for lossy compression of classical finite automata. Lossy compression allows to reduce the size of a language representation below the limits of classical compression methods, by the cost of introducing tolerable errors to the language. The complexity of many problems related to compression with respect to different error profiles is classified. The other main part is devoted to the study of biautomata, which were recently introduced as a new descriptional model for regular languages. Although biautomata are in many ways similar to finite automata, this book carves out some notable differences. While classical methods for finite automata can successfully be applied to biautomata, one observes a drastic increase of the computational complexity when considering lossy compression for biautomata.
Download or read book Automata Theory Trends And Applications written by Alexander Meduna and published by World Scientific. This book was released on 2023-10-16 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth analysis of classical automata theory, including finite automata, pushdown automata, and Turing machines. It also covers current trends in automata theory, such as jumping, deep pushdown, and regulated automata. The book strikes a balance between a theoretical and practical approach to its subject by presenting many real world applications of automata in a variety of scientific areas, ranging from programming language processing through natural language syntax analysis up to computational musicology.In Automata: Theories, Trends and Applications all formalisms concerning automata are rigorously introduced, and every complicated mathematical passage is preceded by its intuitive explanation so that even complex parts of the book are easy to grasp. The book also demonstrates how automata underlie several computer-science engineering techniques.This monograph is a useful reference for scientists working in the areas of theoretical computer science, computational mathematics, computational linguistics, and compiler writing. It may also be used as a required text in classes dealing with the theory and applications of automata, and theory of computation at the graduate level. This book comes with access to a website which supplies supplementary material such as exercises with solutions, additional case studies, lectures to download, teaching tips for instructors, and more.
Download or read book Modern Applications Of Automata Theory written by Priti Shankar and published by World Scientific. This book was released on 2012-05-24 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata theory has come into prominence in recent years with a plethora of applications in fields ranging from verification to XML processing and file compression. In fact, the 2007 Turing Award was awarded to Clarke, Emerson and Sifakis for their pioneering work on model-checking techniques. To the best of our knowledge, there is no single book that covers the vast range of applications of automata theory targeted at a mature student audience. This book is intended to fill that gap and can be used as an intermediate-level textbook. It begins with a detailed treatment of foundational material not normally covered in a beginner's course in automata theory, and then rapidly moves on to applications. The book is largely devoted to verification and model checking, and contains material that is at the cutting edge of verification technology. It will be an invaluable reference for software practitioners working in this area.
Download or read book Handbook of Weighted Automata written by Manfred Droste and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this Handbook is to highlight both theory and applications of weighted automata. Weighted finite automata are classical nondeterministic finite automata in which the transitions carry weights. These weights may model, e. g. , the cost involved when executing a transition, the amount of resources or time needed for this,or the probability or reliability of its successful execution. The behavior of weighted finite automata can then be considered as the function (suitably defined) associating with each word the weight of its execution. Clearly, weights can also be added to classical automata with infinite state sets like pushdown automata; this extension constitutes the general concept of weighted automata. To illustrate the diversity of weighted automata, let us consider the following scenarios. Assume that a quantitative system is modeled by a classical automaton in which the transitions carry as weights the amount of resources needed for their execution. Then the amount of resources needed for a path in this weighted automaton is obtained simply as the sum of the weights of its transitions. Given a word, we might be interested in the minimal amount of resources needed for its execution, i. e. , for the successful paths realizing the given word. In this example, we could also replace the “resources” by “profit” and then be interested in the maximal profit realized, correspondingly, by a given word.
Download or read book Automata Theoretic Aspects of Formal Power Series written by Arto Salomaa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a theory of formal power series in noncommuting variables, the main emphasis being on results applicable to automata and formal language theory. This theory was initiated around 196O-apart from some scattered work done earlier in connection with free groups-by M. P. Schutzenberger to whom also belong some of the main results. So far there is no book in existence concerning this theory. This lack has had the unfortunate effect that formal power series have not been known and used by theoretical computer scientists to the extent they in our estimation should have been. As with most mathematical formalisms, the formalism of power series is capable of unifying and generalizing known results. However, it is also capable of establishing specific results which are difficult if not impossible to establish by other means. This is a point we hope to be able to make in this book. That formal power series constitute a powerful tool in automata and language theory depends on the fact that they in a sense lead to the arithmetization of automata and language theory. We invite the reader to prove, for instance, Theorem IV. 5. 3 or Corollaries III. 7. 8 and III. 7.- all specific results in language theory-by some other means. Although this book is mostly self-contained, the reader is assumed to have some background in algebra and analysis, as well as in automata and formal language theory.
Download or read book Elements of Automata Theory written by Jacques Sakarovitch and published by Cambridge University Press. This book was released on 2009-10-01 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.
Download or read book Automata and Languages written by Alexander Meduna and published by Springer Science & Business Media. This book was released on 2000-07-17 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step development of the theory of automata, languages and computation. Intended for use as the basis of an introductory course at both junior and senior levels, the text is organized so as to allow the design of various courses based on selected material. It features basic models of computation, formal languages and their properties; computability, decidability and complexity; a discussion of modern trends in the theory of automata and formal languages; design of programming languages, including the development of a new programming language; and compiler design, including the construction of a complete compiler. Alexander Meduna uses clear definitions, easy-to-follow proofs and helpful examples to make formerly obscure concepts easy to understand. He also includes challenging exercises and programming projects to enhance the reader's comprehension, and many 'real world' illustrations and applications in practical computer science.
Download or read book Automata Theory written by Matthew Simon and published by World Scientific. This book was released on 1999 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers substantially the central ideas of a one semester course in automata theory. It is oriented towards a mathematical perspective that is understandable to non-mathematicians. Comprehension is greatly aided by many examples, especially on the Chomsky ? Schtzenberger theorem, which is not found in most books in this field. Special attention is given to semiautomata theory: the relationship between semigroups and sequential machines (including Green's relations), Schtzenberger's maximal subgroup, von Neumann inverses, wreath products, transducers using matrix notation, shuffle and Kronecker shuffle products. Methods of formal power series, the ambiguity index and linear languages are discussed. Core material includes finite state automata, regular expressions, Kleene's theorem, Chomsky's hierarchy and transformations of grammars. Ambiguous grammars (not limited to context-free grammars) and modal logics are briefly discussed. Turing machine variants with many examples, pushdown automata and their state transition diagrams and parsers, linear-bounded automata/2-PDA and Kuroda normal form are also discussed. A brief study of Lindenmeyer systems is offered as a comparison to the theory of Chomsky.
Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Download or read book Automata Theory with Modern Applications written by James A. Anderson and published by Cambridge University Press. This book was released on 2006-06-22 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent applications to biomolecular science and DNA computing have created a new audience for automata theory and formal languages. This is the only introductory book to cover such applications. It begins with a clear and readily understood exposition of the fundamentals that assumes only a background in discrete mathematics. The first five chapters give a gentle but rigorous coverage of basic ideas as well as topics not found in other texts at this level, including codes, retracts and semiretracts. Chapter 6 introduces combinatorics on words and uses it to describe a visually inspired approach to languages. The final chapter explains recently-developed language theory coming from developments in bioscience and DNA computing. With over 350 exercises (for which solutions are available), many examples and illustrations, this text will make an ideal contemporary introduction for students; others, new to the field, will welcome it for self-learning.
Download or read book Automata Theory written by University of Michigan. Engineering Summer Conferences and published by . This book was released on 1963 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Automata Theory and Formal Languages written by Alberto Pettorossi and published by Springer Nature. This book was released on 2022-09-13 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge of automata theory and formal languages is crucial for understanding human-computer interaction, as well as for understanding the various processes that take place when manipulating knowledge if that knowledge is, indeed, expressed as sentences written in a suitably formalized language. In particular, it is at the basis of the theory of parsing, which plays an important role in language translation, compiler construction, and knowledge manipulation in general. Presenting basic notions and fundamental results, this concise textbook is structured on the basis of a correspondence that exists between classes of automata and classes of languages. That correspondence is established by the fact that the recognition and the manipulation of sentences in a given class of languages can be done by an automaton in the corresponding class of automata. Four central chapters center on: finite automata and regular languages; pushdown automata and context-free languages; linear bounded automata and context-sensitive languages; and Turing machines and type 0 languages. The book also examines decidable and undecidable problems with emphasis on the case for context-free languages. Topics and features: Provides theorems, examples, and exercises to clarify automata-languages correspondences Presents some fundamental techniques for parsing both regular and context-free languages Classifies subclasses of decidable problems, avoiding focus on the theory of complexity Examines finite-automata minimalization and characterization of their behavior using regular expressions Illustrates how to derive grammars of context-free languages in Chomsky and Greibach normal forms Offers supplementary material on counter machines, stack automata, and abstract language families This highly useful, varied text/reference is suitable for undergraduate and graduate courses on automata theory and formal languages, and assumes no prior exposure to these topics nor any training in mathematics or logic. Alberto Pettorossi is professor of theoretical computer science at the University of Rome Tor Vergata, Rome, Italy.
Download or read book Language and Automata Theory and Applications written by Carlos Martín-Vide and published by Springer. This book was released on 2019-03-12 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Half century of Automata Theory written by Arto Salomaa and published by World Scientific. This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers lectures by 8 distinguished pioneers of automata theory, including two Turing Award winners. In each contribution, the early developments of automata theory are reminisced about and future directions are suggested. Although some of the contributions go into rather intriguing technical details, most of the book is accessible to a wide audience interested in the progress of the age of computers.The book is a must for professionals in theoretical computer science and related areas of mathematics. For students in these areas it provides an exceptionally deep view at the beginning of the new millennium.
Download or read book Automata and Computability written by Ganesh Gopalakrishnan and published by CRC Press. This book was released on 2019-03-04 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata and Computability is a class-tested textbook which provides a comprehensive and accessible introduction to the theory of automata and computation. The author uses illustrations, engaging examples, and historical remarks to make the material interesting and relevant for students. It incorporates modern/handy ideas, such as derivative-based parsing and a Lambda reducer showing the universality of Lambda calculus. The book also shows how to sculpt automata by making the regular language conversion pipeline available through a simple command interface. A Jupyter notebook will accompany the book to feature code, YouTube videos, and other supplements to assist instructors and students Features Uses illustrations, engaging examples, and historical remarks to make the material accessible Incorporates modern/handy ideas, such as derivative-based parsing and a Lambda reducer showing the universality of Lambda calculus Shows how to "sculpt" automata by making the regular language conversion pipeline available through simple command interface Uses a mini functional programming (FP) notation consisting of lambdas, maps, filters, and set comprehension (supported in Python) to convey math through PL constructs that are succinct and resemble math Provides all concepts are encoded in a compact Functional Programming code that will tesselate with Latex markup and Jupyter widgets in a document that will accompany the books. Students can run code effortlessly href="https://github.com/ganeshutah/Jove.git/"here.
Download or read book Theory Is Forever written by Juhani Karhumäki and published by Springer Science & Business Media. This book was released on 2004-06-29 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This commemorative book celebrates the 70th birthday of Arto Kustaa Salomaa, one of the most influential researchers in theoretical computer science. The 24 invited papers by leading researchers in the area address a broad variety of topics in theoretical computer science and impressively reflect the breadth and the depth of Arto Salomaa's scientific work.
Download or read book Half century Of Automata Theory A Celebration And Inspiration written by Arto Salomaa and published by World Scientific. This book was released on 2001-10-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers lectures by 8 distinguished pioneers of automata theory, including two Turing Award winners. In each contribution, the early developments of automata theory are reminisced about and future directions are suggested. Although some of the contributions go into rather intriguing technical details, most of the book is accessible to a wide audience interested in the progress of the age of computers.The book is a must for professionals in theoretical computer science and related areas of mathematics. For students in these areas it provides an exceptionally deep view at the beginning of the new millennium.
