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Exploring formalisationa primer in human-readable mathematics in Lean 3 with examples from simplicial topology /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Exploring formalisationby Clara Loh.
其他題名:	a primer in human-readable mathematics in Lean 3 with examples from simplicial topology /
作者:	Loh, Clara.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	vi, 147 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Automatic theorem provingComputer programs.
電子資源:	https://doi.org/10.1007/978-3-031-14649-7
ISBN:	9783031146497$q(electronic bk.)

Exploring formalisationa primer in human-readable mathematics in Lean 3 with examples from simplicial topology /
Loh, Clara.

Exploring formalisationa primer in human-readable mathematics in Lean 3 with examples from simplicial topology /[electronic resource] :by Clara Loh. - Cham :Springer International Publishing :2022. - vi, 147 p. :ill., digital ;24 cm. - Surveys and tutorials in the applied mathematical sciences,v. 112199-4773 ;. - Surveys and tutorials in the applied mathematical sciences ;v.7..

Introduction -- 1 The Lean Proof Assistant -- 2 Basic Examples -- 3 Design Choices -- 4 Abstraction and Prototyping.

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.

ISBN: 9783031146497$q(electronic bk.)

Standard No.: 10.1007/978-3-031-14649-7doiSubjects--Topical Terms:

936022
Automatic theorem proving
--Computer programs.

LC Class. No.: QA76.9.A96 / L2 2022

Dewey Class. No.: 511.3

Exploring formalisationa primer in human-readable mathematics in Lean 3 with examples from simplicial topology /
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