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CppCon 2022 Online Keynote: Principia Mathematica

by Lisa Lippincot

From the article:

Lisa Lippincott will be online for a talk that takes its title from Bertrand Russell’s and Alfred North Whitehead’s logicist tour de force, Principia Mathematica.

Lisa LippincottHere is the abstract for her talk:

The C++ integral arithmetic operations present a challenge in formal interface design. Their preconditions are nontrivial, their postconditions are exacting, and they are deeply interconnected by mathematical theorems. I will address this challenge, presenting interfaces, theorems, and proofs in a lightly extended C++.

This talk takes its title from Bertrand Russell’s and Alfred North Whitehead’s logicist tour de force, Principia Mathematica. It echoes that work in developing arithmetic from first principles, but starts from procedural first principles: stability of objects, substitutability of values, and repeatability of operations.

In sum, this talk is one part formal interface design, one part tour of C++ integral arithmetic, one part foundations of arithmetic, and one part writing mathematical proofs procedurally.