Catalytic computing and register programs beyond log depth
Yaroslav Alekseev, Yuval Filmus, Ian Mertz, Alexander Smal, Antoine Vinciguerra
Submitted
Known simulations can be used to simulate $\mathsf{SAC^2}$ using free space $O(\log^2 n)$ and polynomial catalytic space. Using register programs, we show how to simulate $\mathsf{SAC^2}$ using free space $O(\frac{\log^2 n}{\log\log n})$ and quasi-polynomial catalytic space.
@misc{AFMSV25+,
title = {Catalytic computing and register programs beyond log depth},
author = {Yaroslav Alekseev and Yuval Filmus and Ian Mertz and Alexander Smal and Antoine Vinciguerra},
year = {2025}}
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