OpenAI's one-tape TM simulation implies RAM time t is in SPACE[t^4/5], says Williams

rrwilliams · x · 2026-10-07

Ryan Williams points out that OpenAI's one-tape Turing machine simulation (assuming it is correct) immediately implies that any RAM algorithm running in time t uses space in SPACE[t^{4/5}]. He wonders why OpenAI didn't mention this corollary, noting it was the whole point of his earlier question.

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