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Computability

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The Most Important Machine That Was Never Built

May 3, 2023

When he invented Turing machines in 1936, Alan Turing also invented modern computing.

How the Slowest Computer Programs Illuminate Math’s Fundamental Limits

December 10, 2020

The goal of the “busy beaver” game is to find the longest-running computer program. Its pursuit has surprising connections to some of the most profound questions and concepts in mathematics.

Landmark Computer Science Proof Cascades Through Physics and Math

March 4, 2020

Computer scientists established a new boundary on computationally verifiable knowledge. In doing so, they solved major open problems in quantum mechanics and pure mathematics.

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