The Logical Approach to Automatic Sequences

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Publisher : Cambridge University Press
ISBN 13 : 1108786979
Total Pages : 376 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis The Logical Approach to Automatic Sequences by : Jeffrey Shallit

Download or read book The Logical Approach to Automatic Sequences written by Jeffrey Shallit and published by Cambridge University Press. This book was released on 2022-09-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automatic sequences are sequences over a finite alphabet generated by a finite-state machine. This book presents a novel viewpoint on automatic sequences, and more generally on combinatorics on words, by introducing a decision method through which many new results in combinatorics and number theory can be automatically proved or disproved with little or no human intervention. This approach to proving theorems is extremely powerful, allowing long and error-prone case-based arguments to be replaced by simple computations. Readers will learn how to phrase their desired results in first-order logic, using free software to automate the computation process. Results that normally require multipage proofs can emerge in milliseconds, allowing users to engage with mathematical questions that would otherwise be difficult to solve. With more than 150 exercises included, this text is an ideal resource for researchers, graduate students, and advanced undergraduates studying combinatorics, sequences, and number theory.

Automatic Sequences

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Publisher : Cambridge University Press
ISBN 13 : 9780521823326
Total Pages : 592 pages
Book Rating : 4.8/5 (233 download)

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Book Synopsis Automatic Sequences by : Jean-Paul Allouche

Download or read book Automatic Sequences written by Jean-Paul Allouche and published by Cambridge University Press. This book was released on 2003-07-21 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Automatic Sequences

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Publisher : Walter de Gruyter
ISBN 13 : 3110197960
Total Pages : 200 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Automatic Sequences by : von Friedrich Haeseler

Download or read book Automatic Sequences written by von Friedrich Haeseler and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automatic sequences are sequences which are produced by a finite automaton. Although they are not random they may look as being random. They are complicated, in the sense of not being not ultimately periodic, they may look rather complicated, in the sense that it may not be easy to name the rule by which the sequence is generated, however there exists a rule which generates the sequence. The concept automatic sequences has special applications in algebra, number theory, finite automata and formal languages, combinatorics on words. The text deals with different aspects of automatic sequences, in particular: · a general introduction to automatic sequences · the basic (combinatorial) properties of automatic sequences · the algebraic approach to automatic sequences · geometric objects related to automatic sequences.

Implementation and Application of Automata

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Publisher : Springer Nature
ISBN 13 : 3031402472
Total Pages : 313 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Implementation and Application of Automata by : Benedek Nagy

Download or read book Implementation and Application of Automata written by Benedek Nagy and published by Springer Nature. This book was released on 2023-08-09 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 27th International Conference on Implementation and Application of Automata, CIAA 2023, held in Famagusta, North Cyprus, during September 19–22, 2023. The 20 regular papers presented in this book together with invited talks were carefully reviewed and selected from 30 submissions. The topics of the papers cover various fields in the application, implementation, and theory of automata and related structures.

Combinatorics on Words

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Publisher : Springer Nature
ISBN 13 : 3030850889
Total Pages : 210 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Combinatorics on Words by : Thierry Lecroq

Download or read book Combinatorics on Words written by Thierry Lecroq and published by Springer Nature. This book was released on 2021-09-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Combinatorics on Words, WORDS 2021, held virtually in September 2021. The 14 revised full papers presented in this book together with 2 invited talks were carefully reviewed and selected from 18 submissions. WORDS is the main conference series devoted to the mathematical theory of words. In particular, the combinatorial, algebraic and algorithmic aspects of words are emphasized. Motivations may also come from other domains such as theoretical computer science, bioinformatics, digital geometry, symbolic dynamics, numeration systems, text processing, number theory, etc.

Combinatorics on Words

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Publisher : Springer Nature
ISBN 13 : 303133180X
Total Pages : 310 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Combinatorics on Words by : Anna Frid

Download or read book Combinatorics on Words written by Anna Frid and published by Springer Nature. This book was released on 2023-05-30 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Combinatorics on Words, WORDS 2023, held in Umeå, Sweden, during June 12–16, 2023. The 19 contributed papers presented in this book were carefully reviewed and selected from 28 submissions. In addition, the volume also contains 3 invited papers. WORDS is the main conference series devoted to combinatorics on words. This area is connected to several topics from computer science and mathematics, including string algorithms, automated proofs, discrete dynamics, number theory and, of course, classical combinatorics

Logics and Type Systems in Theory and Practice

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Publisher : Springer Nature
ISBN 13 : 3031617169
Total Pages : 284 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Logics and Type Systems in Theory and Practice by : Venanzio Capretta

Download or read book Logics and Type Systems in Theory and Practice written by Venanzio Capretta and published by Springer Nature. This book was released on with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic for Computer Science

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Publisher : Courier Dover Publications
ISBN 13 : 0486780821
Total Pages : 532 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Logic for Computer Science by : Jean H. Gallier

Download or read book Logic for Computer Science written by Jean H. Gallier and published by Courier Dover Publications. This book was released on 2015-06-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.

A Second Course in Formal Languages and Automata Theory

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Publisher : Cambridge University Press
ISBN 13 : 0521865727
Total Pages : 0 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A Second Course in Formal Languages and Automata Theory by : Jeffrey Shallit

Download or read book A Second Course in Formal Languages and Automata Theory written by Jeffrey Shallit and published by Cambridge University Press. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a graduate course on formal languages and automata theory, building on prior knowledge of theoretical computer models.

A Logical Approach to Discrete Math

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Publisher : Springer
ISBN 13 : 9781441928351
Total Pages : 516 pages
Book Rating : 4.9/5 (283 download)

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Book Synopsis A Logical Approach to Discrete Math by : David Gries

Download or read book A Logical Approach to Discrete Math written by David Gries and published by Springer. This book was released on 2010-12-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.

Set Theory and Logic

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Publisher : Courier Corporation
ISBN 13 : 0486139646
Total Pages : 512 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Set Theory and Logic by : Robert R. Stoll

Download or read book Set Theory and Logic written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-05-23 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.

Language and Automata Theory and Applications

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Publisher : Springer Nature
ISBN 13 : 3030406083
Total Pages : 447 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Language and Automata Theory and Applications by : Alberto Leporati

Download or read book Language and Automata Theory and Applications written by Alberto Leporati and published by Springer Nature. This book was released on 2020-02-25 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Conference on Language and Automata Theory and Applications, LATA 2020, which was planned to be held in Milan, Italy, in March 2020. Due to the corona pandemic, the actual conference was postponed and will be held together with LATA 2021. The 26 full papers presented in this volume were carefully reviewed and selected from 59 submissions. They were organized in topical sections named: algebraic structures; automata; complexity; grammars; languages; trees and graphs; and words and codes. The book also contains 6 invited papers in full-paper length.

Logic and Automata

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Publisher : Amsterdam University Press
ISBN 13 : 9053565760
Total Pages : 737 pages
Book Rating : 4.0/5 (535 download)

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Book Synopsis Logic and Automata by : Jörg Flum

Download or read book Logic and Automata written by Jörg Flum and published by Amsterdam University Press. This book was released on 2008 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic and automata theory are two scientific disciplines with a fundamentally close relationship. The authors of Logic and Automata take the occasion of the sixtieth birthday of Wolfgang Thomas to present a tour d’horizon of automata theory and logic. The twenty papers in this volume cover many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, and semigroup theory, as well as discussing current challenges in the field.

Combinatorics on Words

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Publisher : Springer
ISBN 13 : 9783030287955
Total Pages : 0 pages
Book Rating : 4.2/5 (879 download)

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Book Synopsis Combinatorics on Words by : Robert Mercaş

Download or read book Combinatorics on Words written by Robert Mercaş and published by Springer. This book was released on 2019-08-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Combinatorics on Words, WORDS 2019, held in Loughborough, UK, in September 2019. The 21 revised full papers presented in this book together with 5 invited talks were carefully reviewed and selected from 34 submissions. WORDS is the main conference series devoted to the mathematical theory of words. In particular, the combinatorial, algebraic and algorithmic aspects of words are emphasized. Motivations may also come from other domains such as theoretical computer science, bioinformatics, digital geometry, symbolic dynamics, numeration systems, text processing, number theory, etc.

Automatic and Remote Control

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Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Automatic and Remote Control by : International Federation of Automatic Control

Download or read book Automatic and Remote Control written by International Federation of Automatic Control and published by . This book was released on 1971 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Computational Logic

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Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis A Computational Logic by : Robert S. Boyer

Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

Proceedings of the Joint Automatic Control Conference

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Publisher :
ISBN 13 :
Total Pages : 944 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Proceedings of the Joint Automatic Control Conference by :

Download or read book Proceedings of the Joint Automatic Control Conference written by and published by . This book was released on 1979 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: