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Cambridge University Press The Logical Approach to Automatic Sequences: Exploring Combinatorics on Words with Walnut: 482 (London Mathematical Society Lecture Note Series, Series Number 482)

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£67.19 £57.07 £59.28 £61.49 £63.69 £65.90 £68.11 26 April 2026 15 May 2026 03 June 2026 22 June 2026 11 July 2026

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Description

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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
29 September 2022
Listed Since
14 May 2022

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