Abstraction Boundaries and Spec Driven Development in Pure Mathematics

J Commelin, A Topaz

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this article we discuss how abstraction boundaries can help tame complexity in mathematical research with the help of an interactive theorem prover. While many of the ideas we present here have been used implicitly by mathematicians for some time, we argue that the use of an interactive theorem prover introduces additional qualitative benefits in the implementation of these ideas.
Original languageEnglish
Pages (from-to)241-255
Number of pages15
JournalBulletin of the American Mathematical Society
Volume61
Issue number2
Early online date15 Feb 2024
DOIs
Publication statusPublished - Apr 2024

Bibliographical note

Publisher Copyright:
© 2024 by the authors

Funding

Received by the editors July 31, 2023. 2020 Mathematics Subject Classification. Primary 68V30, 68V20, 00A35. The first author was supported by the Deutsche Forschungsgemeinschaft (DFG) grant CO 2587/1-1. The second author was supported by NSERC discovery grant RGPIN-2019-04762.

FundersFunder number
Deutsche ForschungsgemeinschaftCO 2587/1-1
Natural Sciences and Engineering Research Council of CanadaRGPIN-2019-04762

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