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arXiv · 2504.03320

On the consistency of stronger lower bounds for NEXP

Neil Thapen
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Abstract

It was recently shown by Atserias, Buss and Mueller that the standard complexity-theoretic conjecture NEXP not in P / poly is consistent with the relatively strong bounded arithmetic theory V^0_2, which can prove a substantial part of complexity theory. We observe that their approach can be extended to show that the stronger conjectures NEXP not in EXP / poly and NEXP not in coNEXP are consistent with a stronger theory, which includes every true universal number-sort sentence.

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Neil Thapen. 2025-04-04. On the consistency of stronger lower bounds for NEXP. https://doi.org/10.46298/lmcs-21(4%3A23)2025

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