The Logical Approach to Automatic Sequences (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2022

1108745245 / 9781108745246

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Paperback. 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. Readers will learn how to automatically prove or disprove new results in combinatorics and number theory in milliseconds by phrasing their desired results in first-order logic and using free software to automate the computation process. Containing more than 150 exercises, this text is an ideal resource for students and researchers. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …

Seller Inventory # 9781108745246

Title
The Logical Approach to Automatic Sequences (Paperback)
Author
Jeffrey Shallit
Publisher
Cambridge University Press, Cambridge
Publication year
2022
Condition
new
Binding
Paperback
Language
English
ISBN 10
1108745245
ISBN 13
9781108745246

CitiRetail

Stevenage, United Kingdom

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AbeBooks seller since June 29, 2022

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