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- W4297792110 abstract "Savitch showed in $1970$ that nondeterministic logspace (NL) is contained in deterministic $mathcal{O}(log^2 n)$ space but his algorithm requires quasipolynomial time. The question whether we can have a deterministic algorithm for every problem in NL that requires polylogarithmic space and simultaneously runs in polynomial time was left open. In this paper we give a partial solution to this problem and show that for every language in NL there exists an unambiguous nondeterministic algorithm that requires $mathcal{O}(log^2 n)$ space and simultaneously runs in polynomial time." @default.
- W4297792110 created "2022-10-01" @default.
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- W4297792110 date "2016-06-15" @default.
- W4297792110 modified "2023-09-25" @default.
- W4297792110 title "Trading Determinism for Time in Space Bounded Computations" @default.
- W4297792110 doi "https://doi.org/10.48550/arxiv.1606.04649" @default.
- W4297792110 hasPublicationYear "2016" @default.
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