Published on: 2025-07-12 02:11:03
TR25-017 | 24th February 2025 05:09 Simulating Time in Square-Root Space We show that for all functions $t(n) \geq n$, every multitape Turing machine running in time $t$ can be simulated in space only $O(\sqrt{t \log t})$. This is a substantial improvement over Hopcroft, Paul, and Valiant's simulation of time $t$ in $O(t/\log t)$ space from 50 years ago [FOCS 1975, JACM 1977]. Among other results, our simulation implies that bounded fan-in circuits of size $s$ can be evaluated on any input in
Keywords: log multitape space time turing
Find related items on AmazonGo K’awiil is a project by nerdhub.co that curates technology news from a variety of trusted sources. We built this site because, although news aggregation is incredibly useful, many platforms are cluttered with intrusive ads and heavy JavaScript that can make mobile browsing a hassle. By hand-selecting our favorite tech news outlets, we’ve created a cleaner, more mobile-friendly experience.
Your privacy is important to us. Go K’awiil does not use analytics tools such as Facebook Pixel or Google Analytics. The only tracking occurs through affiliate links to amazon.com, which are tagged with our Amazon affiliate code, helping us earn a small commission.
We are not currently offering ad space. However, if you’re interested in advertising with us, please get in touch at [email protected] and we’ll be happy to review your submission.