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Mathematics

Proof at a roll of the dice

The PCP theorem encapsulates the idea that randomization allows the immediate verification of any mathematical proof. A simple route to this striking result was proposed earlier this year.

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Figure 1: Probabilistically checkable colouring.

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Chazelle, B. Proof at a roll of the dice. Nature 444, 1018–1019 (2006). https://doi.org/10.1038/4441018a

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