Paper
16 min
Checking your own work
Self-verification at scale: why running the code, re-deriving the maths and arguing the other side catches most mistakes.
J. Okafor, M. Castell

A model that can check its answer can afford to be adventurous about finding one. We trained verifiers alongside the model and let them veto answers.
Three checks catch 88% of wrong answers before they reach the user: executing code, re-deriving results a second way, and generating the strongest counter-argument.
The three checks
Run it: execute code and read the errors
Re-derive it: solve again by a different route
Argue it: write the best case against the answer
Checks add about 30% to thinking time. On hard problems the trade is almost always worth it.
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