| 书目名称 | Exploring Formalisation |
| 副标题 | A Primer in Human-Re |
| 编辑 | Clara Löh |
| 视频video | |
| 概述 | Example driven: each topic is first presented in pen-and-paper style and then formalised in Lean.Starts at a very elementary level and ends with examples from current research.Aims for human-readable |
| 丛书名称 | Surveys and Tutorials in the Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | 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 author‘s 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 elementarycategory theory and algebraic topology is recommended.. |
| 出版日期 | Textbook 2022 |
| 关键词 | formalization of mathematics; Lean; proof assistant; mathematics in Lean; theorem prover; tutorial on lea |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-14649-7 |
| isbn_softcover | 978-3-031-14648-0 |
| isbn_ebook | 978-3-031-14649-7Series ISSN 2199-4765 Series E-ISSN 2199-4773 |
| issn_series | 2199-4765 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 20:01:06
