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In this article we discuss how <italic>abstraction boundaries</italic> 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.
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Mathematical reasoning and the computer | 2024-02-15 | Kevin Buzzard |
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Geometric Integration Theory | 1957-12-31 | Hassler Whitney | |
A FORMAL PROOF OF THE KEPLER CONJECTURE | 2017-01-01 | Thomas Hales Mark Adams Gertrud Bauer TAT DAT DANG John Harrison Hoang Le Truong Cezary Kaliszyk Victor Magron Sean McLaughlin TAT THANG NGUYEN | |
The lean mathematical library | 2020-01-20 | The mathlib Community |