Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 104-02. Mean-payoff parity games in quasipolynomial time
Manuscript map · lines 4515–4524
OpenAI@2026-10-07#rem:oai-p-104-02
Authors: OpenAI. Family 104.
Title: Mean-payoff parity games in quasipolynomial time.
Abstract: We give a uniform deterministic quasipolynomial-time algorithm for mean-payoff parity games. It computes all vertices from which a player can enforce both nonnegative liminf mean payoff and the parity condition, with arbitrary signed binary rewards and unrestricted binary priorities. The running time is $2{}{O(({}log(L+2)){}2)}$ bit operations, where L is the complete input length.
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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