Exploring formalisation : a primer in human-readable mathematics in Lean 3 with examples from simplicial topology / Clara Löh.
Löh, Clara, author.
2022
QA76.9.A96
Available Online

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Title Exploring formalisation : a primer in human-readable mathematics in Lean 3 with examples from simplicial topology / Clara Löh.
Author Löh, Clara, author.
ISBN 9783031146497 (electronic bk.)
3031146492 (electronic bk.)
9783031146480
DOI https://doi.org/10.1007/978-3-031-14649-7
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource (vi, 147 pages) : illustrations.
Other Standard Identifiers 10.1007/978-3-031-14649-7 doi
Call Number QA76.9.A96
Dewey Decimal Classification 511.3
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 30, 2022).
Series Surveys and tutorials in the applied mathematical sciences ; 11. 2199-4773
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Record Appears in Online Resources > Ebooks
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Introduction
1 The Lean Proof Assistant
2 Basic Examples
3 Design Choices
4 Abstraction and Prototyping.

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