Author : Clara Löh
Publisher : Springer Nature
ISBN 13 : 3031146492
Total Pages : 152 pages
Book Rating : 4.0/5 (311 download)
Book Synopsis Exploring Formalisation by : Clara Löh
Download or read book Exploring Formalisation written by Clara Löh and published by Springer Nature. This book was released on 2022-09-24 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 elementary category theory and algebraic topology is recommended.