OpenAI reports perfect completeness for 2-to-1 games

For every fixed rational 0<δ<1, it is NP-hard to distinguish satisfiable 2-to-1 games from unweighted games of value at most δ, with an alphabet depending only on δ.

Curated contributions 1

Understand the problem ↓

Understanding the problem

Read the background

For every fixed rational 0<δ<1, it is NP-hard to distinguish satisfiable 2-to-1 games from unweighted games of value at most δ, with an alphabet depending only on δ.

Why it matters

If correct, settles the perfect-completeness 2-to-1 Games Conjecture, a central constraint-satisfaction hardness question.

What counts as progress

Is the stated gap NP-hard even when satisfiable games have value one?

Website timeline

Publication dates and editorial changes.