London Mathematical Society Lecture Note SeriesSeries Number 482-The Logical Approach to Automatic Sequences Exploring Combinatorics on Words with Walnut

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  • Engels
  • Paperback
  • 9781108745246
  • 29 september 2022
  • 374 pagina's
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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.

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Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
29 september 2022
Aantal pagina's
374

Betrokkenen

Hoofdauteur
Jeffrey Shallit
Hoofduitgeverij
Cambridge University Press

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Product breedte
151 mm
Product hoogte
20 mm
Product lengte
230 mm
Studieboek
Nee
Verpakking breedte
151 mm
Verpakking hoogte
20 mm
Verpakking lengte
230 mm
Verpakkingsgewicht
540 g

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9781108745246
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