Exploring Formalisation, Clara Loh

Автор: Clara Loh   (Клара Лех)
Название:  Exploring Formalisation
Перевод названия: Изучение формализации
ISBN: 9783031146480
Издательство: Springer
Классификация:





ISBN-10: 3031146484
Обложка/Формат: Soft cover
Страницы: 147
Вес: 0.30 кг.
Дата издания: 09.10.2022
Серия: Surveys and Tutorials in the Applied Mathematical Sciences
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 1 illustrations, black and white; vi, 147 p. 1 illus.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: A primer in human-readable mathematics in lean 3 with examples from simplicial topology
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean. After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalisation of graph theory). Finally, the book demonstrates how current research in algebraic and geometric topology can be formalised by means of suitable abstraction layers. Informed by the authors recent teaching and research experience, this book allows students and researchers to quickly get started with formalising and checking their proofs. The core material of the book is accessible to mathematics students with basic programming skills. For the final chapter, familiarity with elementary category theory and algebraic topology is recommended.
Дополнительное описание: Introduction.- 1 The Lean Proof Assistant.- 2 Basic Examples.- 3 Design Choices.- 4 Abstraction and Prototyping.