The Logical Approach To Automatic Sequences
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The Logical Approach To Automatic Sequences
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Author : Jeffrey Shallit
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-29
The Logical Approach To Automatic Sequences written by Jeffrey Shallit and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Computers categories.
Learn how to automatically prove mathematical statements in combinatorics, sequences, and number theory.
The Logical Approach To Automatic Sequences
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Author : Jeffrey Shallit
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-29
The Logical Approach To Automatic Sequences written by Jeffrey Shallit and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Computers categories.
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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Author : Jean-Paul Allouche
language : en
Publisher: Cambridge University Press
Release Date : 2003-07-21
Automatic Sequences written by Jean-Paul Allouche and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-21 with Computers categories.
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.
Implementation And Application Of Automata
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Author : Benedek Nagy
language : en
Publisher: Springer Nature
Release Date : 2023-08-09
Implementation And Application Of Automata written by Benedek Nagy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-09 with Computers categories.
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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Author : Anna Frid
language : en
Publisher: Springer Nature
Release Date : 2023-05-30
Combinatorics On Words written by Anna Frid and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-30 with Mathematics categories.
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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Author : Venanzio Capretta
language : en
Publisher: Springer Nature
Release Date : 2024-05-21
Logics And Type Systems In Theory And Practice written by Venanzio Capretta and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-21 with Computers categories.
This Festschrift, dedicated to Herman Geuvers on the occasion of his 60th birthday, contains papers written by many of his closest collaborators. Herman Geuvers is a full professor at Radboud University Nijmegen and holds a part-time professorship at Eindhoven University of Technology. He received his PhD from Radboud University in 1993 and he was promoted to full professor in Computer Assisted Reasoning in 2006. Prof. Geuvers is an internationally renowned researcher in the field of proof assistants, logic in computer science, lambda calculus, and type theory. He has been a steering committee chair of the TYPES and FSCD conferences, chair of related EU Cost Action projects, and program chair or editor of related conferences and special issues in the area of computer science logic. He is a successful, generous and inspiring advisor and educator. He has been director of education and director of research of the Computer Science Institute at Radboud University Nijmegen, and he is currently chair of the examination board of computer science and chair of the board of the Institute for Programming Research and Algorithmics, a Dutch national inter-university research school. The contributions in this volume reflect Prof. Geuvers’ main research interests.
Combinatorics On Words
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Author : Thierry Lecroq
language : en
Publisher: Springer Nature
Release Date : 2021-09-06
Combinatorics On Words written by Thierry Lecroq and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-06 with Mathematics categories.
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.
Implementation And Application Of Automata
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Author : Szilárd Zsolt Fazekas
language : en
Publisher: Springer Nature
Release Date : 2024-09-03
Implementation And Application Of Automata written by Szilárd Zsolt Fazekas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-03 with Computers categories.
This book constitutes the proceedings of the 28th International Conference on Implementation and Application of Automata, CIAA 2024, held in Akita, Japan, during September 3-6, 2024. The 24 full papers and one invited paper presented here were carefully reviewed and selected from 38 submissions. These papers have been covering various fields in the application, implementation, and theory of automata and related structures.
Automated Reasoning
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Author : Christoph Benzmüller
language : en
Publisher: Springer Nature
Release Date : 2024-06-30
Automated Reasoning written by Christoph Benzmüller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-30 with Computers categories.
This two-volume set of LNAI 14739-14740 constitute the proceedings of the 12th International Joint Conference on Automated Reasoning, IJCAR 2024, held in Nancy, France, during July 3-6, 2024. The 39 full research papers and 6 short papers presented in this book were carefully reviewed and selected from 115 submissions. The papers focus on the following topics: theorem proving and tools; SAT, SMT and Quantifier Elimination; Intuitionistic Logics and Modal Logics; Calculi, Proof Theory and Decision Procedures; and Unification, Rewriting and Computational Models. This book is open access.
Combinatorics On Words
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Author : Guilhem Gamard
language : en
Publisher: Springer Nature
Release Date : 2025-07-31
Combinatorics On Words written by Guilhem Gamard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-31 with Computers categories.
This book constitutes the refereed proceedings of the 15th International Conference on Combinatorics on Words, WORDS 2025, held in Nancy, France, during June 30– July 4, 2025. The 20 papers included in these proceedings were carefully reviewed and selected from 31 submissions. They focus on mathematical theory of words. In particular, the combinatorial, algebraic and algorithmic aspects of words are emphasized.