Online-Ressource
Verfasst von:	Löh, Clara [VerfasserIn]
Titel:	Exploring Formalisation
Titelzusatz:	A Primer in Human-Readable Mathematics in Lean 3 with Examples from Simplicial Topology
Verf.angabe:	by Clara Löh
Ausgabe:	1st ed. 2022.
Verlagsort:	Cham
	Cham
Verlag:	Springer International Publishing
	Imprint: Springer
E-Jahr:	2022
Jahr:	2022.
	2022.
Umfang:	1 Online-Ressource(VI, 147 p. 1 illus.)
Gesamttitel/Reihe:	Surveys and Tutorials in the Applied Mathematical Sciences ; 11
	Springer eBook Collection
ISBN:	978-3-031-14649-7
Abstract:	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.
DOI:	doi:10.1007/978-3-031-14649-7
URL:	Resolving-System: https://doi.org/10.1007/978-3-031-14649-7
	DOI: https://doi.org/10.1007/978-3-031-14649-7
Schlagwörter:	(s)Beweisassistent    / (s)Lean <Programm>    / (s)Abstraktion    / (s)Formalisierung    / (s)Typentheorie    / (s)Simplizialer Komplex
Datenträger:	Online-Ressource
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe
	Erscheint auch als : Druck-Ausgabe
	Erscheint auch als : Druck-Ausgabe: Löh, Clara, 1981 - : Exploring formalisation. - Cham, Switzerland : Springer Nature, 2022. - iv, 147 Seiten
K10plus-PPN:	1817570870
	Universitätsbibliothek
Lokale URL UB:	Zum Volltext