Linear Advice for Randomized Logarithmic Space

Linear Advice for Randomized Logarithmic Space

We show that RL ⊆ L/O(n), i.e., any language computable in randomized logarithmic space can be computed in deterministic logarithmic space with a linear amount of non-uniform advice. To prove our result we use an ultra-low space walk on the Gabber-Galil expander graph due to Gutfreund and Viola.

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Bibliographische Detailangaben
Hauptverfasser: Fortnow, Lance, Klivans, Adam R.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Computer science
control theory
systems
Exact sciences and technology
Theoretical computing
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Beschreibung
Zusammenfassung:We show that RL ⊆ L/O(n), i.e., any language computable in randomized logarithmic space can be computed in deterministic logarithmic space with a linear amount of non-uniform advice. To prove our result we use an ultra-low space walk on the Gabber-Galil expander graph due to Gutfreund and Viola.
ISSN:0302-9743
1611-3349
DOI:10.1007/11672142_38