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@misc{OAI:An-exponential-state-lower-bound-for-two-way-nondeterministic-complementation-September-25-2026,
  author = {{OpenAI}},
  title = {{An exponential state lower bound for two-way nondeterministic complementation}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/An-exponential-state-lower-bound-for-two-way-nondeterministic-complementation-September-25-2026/paper.pdf}{OAI:An-exponential-state-lower-bound-for-two-way-nondeterministic-complementation-September-25-2026}},
  year = {2026}
}

@misc{OAI:An-exponential-two-way-deterministic-state-lower-bound-for-one-way-liveness-September-25-2026,
  author = {{OpenAI}},
  title = {{An exponential two-way deterministic state lower bound for one-way liveness}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/An-exponential-two-way-deterministic-state-lower-bound-for-one-way-liveness-September-25-2026/main.pdf}{OAI:An-exponential-two-way-deterministic-state-lower-bound-for-one-way-liveness-September-25-2026}},
  year = {2026}
}