OpenAI reports computability of the random 3-SAT threshold

For uniformly signed proper random 3-SAT clauses sampled independently with replacement, the finite positive limiting satisfiability threshold is a computable real: one deterministic machine takes a requested precision and returns a rational approximation within that error.

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Understanding the problem

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For uniformly signed proper random 3-SAT clauses sampled independently with replacement, the finite positive limiting satisfiability threshold is a computable real: one deterministic machine takes a requested precision and returns a rational approximation within that error.

Why it matters

If correct, turns existence of the random 3-SAT threshold into an effective, terminating approximation procedure.

What counts as progress

Can a deterministic algorithm approximate the limiting random 3-SAT threshold to any requested accuracy?

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