Mathematics and Computation

A blog about mathematics for computers

Every proof assistant: Cur - Designing a less devious proof assistant

We shall finish the semester with a "Every proof assistant" talk by William Bowman. Note that we start an hour later than usual, at 17:00 UTC+2.

Cur: Designing a less devious proof assistant

Time: Thursday, June 25, 2020 from 17:00 to 18:00 (Central European Summer Time, UTC+2)
Location: online at Zoom ID 989 0478 8985
Speaker: William J. Bowman (University of British Columbia)
Proof assistant: Cur

Abstract:

Dijkstra said that our tools can have a profound and devious influence on our thinking. I find this especially true of modern proof assistants, with "devious" out-weighing "profound". Cur is an experiment in design that aims to be less devious. The design emphasizes language extension, syntax manipulation, and DSL construction and integration. This enables the user to be in charge of how they think, rather than requiring the user to contort their thinking to that of the proof assistant. In this talk, my goal is to convince you that you want similar capabilities in a proof assistant, and explain and demonstrate Cur's attempt at solving the problem.

The talk video recording and slides with notes and demo code are available.

Upcoming talks: Anders Mörtberg's talk on Cubical Agda will take place in September 2020.

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