Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 105-01. Perfect completeness for 2-to-1 games
Manuscript map · lines 4545–4554
OpenAI@2026-10-07#rem:oai-p-105-01
Authors: OpenAI. Family 105.
Title: Perfect completeness for 2-to-1 games.
Abstract: We prove the 2-to-1 Games Conjecture with perfect completeness. For every fixed rational ${}delta{}in(0,1)$, it is NP-hard to distinguish satisfiable 2-to-1 games from games of value at most δ, with a fixed alphabet and an explicitly listed unweighted multiset of constraints.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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