Matches in SemOpenAlex for { <https://semopenalex.org/work/W4298083178> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W4298083178 abstract "Assume that for every derandomization result for logspace algorithms, there is a pseudorandom generator strong enough to nearly recover the derandomization by iterating over all seeds and taking a majority vote. We prove under a precise version of this assumption that $mathbf{BPL} subseteq bigcap_{alpha > 0} mathbf{DSPACE}(log^{1 + alpha} n)$. We strengthen the theorem to an equivalence by considering two generalizations of the concept of a pseudorandom generator against logspace. A targeted pseudorandom generator against logspace takes as input a short uniform random seed and a finite automaton; it outputs a long bitstring that looks random to that particular automaton. A simulation advice generator for logspace stretches a small uniform random seed into a long advice string; the requirement is that there is some logspace algorithm that, given a finite automaton and this advice string, simulates the automaton reading a long uniform random input. We prove that $bigcap_{alpha > 0} mathbf{promisembox{-}BPSPACE}(log^{1 + alpha} n) = bigcap_{alpha > 0} mathbf{promisembox{-}DSPACE}(log^{1 + alpha} n)$ if and only if for every targeted pseudorandom generator against logspace, there is a simulation advice generator for logspace with similar parameters. Finally, we observe that in a certain uniform setting (namely, if we only worry about sequences of automata that can be generated in logspace), targeted pseudorandom generators against logspace can be transformed into simulation advice generators with similar parameters." @default.
- W4298083178 created "2022-10-01" @default.
- W4298083178 creator A5008206577 @default.
- W4298083178 creator A5047283705 @default.
- W4298083178 date "2016-10-04" @default.
- W4298083178 modified "2023-09-26" @default.
- W4298083178 title "Targeted Pseudorandom Generators, Simulation Advice Generators, and Derandomizing Logspace" @default.
- W4298083178 doi "https://doi.org/10.48550/arxiv.1610.01199" @default.
- W4298083178 hasPublicationYear "2016" @default.
- W4298083178 type Work @default.
- W4298083178 citedByCount "0" @default.
- W4298083178 crossrefType "posted-content" @default.
- W4298083178 hasAuthorship W4298083178A5008206577 @default.
- W4298083178 hasAuthorship W4298083178A5047283705 @default.
- W4298083178 hasBestOaLocation W42980831781 @default.
- W4298083178 hasConcept C11413529 @default.
- W4298083178 hasConcept C114614502 @default.
- W4298083178 hasConcept C118615104 @default.
- W4298083178 hasConcept C121332964 @default.
- W4298083178 hasConcept C140642157 @default.
- W4298083178 hasConcept C163258240 @default.
- W4298083178 hasConcept C199360897 @default.
- W4298083178 hasConcept C201866948 @default.
- W4298083178 hasConcept C2779955035 @default.
- W4298083178 hasConcept C2780992000 @default.
- W4298083178 hasConcept C33923547 @default.
- W4298083178 hasConcept C41008148 @default.
- W4298083178 hasConcept C62520636 @default.
- W4298083178 hasConceptScore W4298083178C11413529 @default.
- W4298083178 hasConceptScore W4298083178C114614502 @default.
- W4298083178 hasConceptScore W4298083178C118615104 @default.
- W4298083178 hasConceptScore W4298083178C121332964 @default.
- W4298083178 hasConceptScore W4298083178C140642157 @default.
- W4298083178 hasConceptScore W4298083178C163258240 @default.
- W4298083178 hasConceptScore W4298083178C199360897 @default.
- W4298083178 hasConceptScore W4298083178C201866948 @default.
- W4298083178 hasConceptScore W4298083178C2779955035 @default.
- W4298083178 hasConceptScore W4298083178C2780992000 @default.
- W4298083178 hasConceptScore W4298083178C33923547 @default.
- W4298083178 hasConceptScore W4298083178C41008148 @default.
- W4298083178 hasConceptScore W4298083178C62520636 @default.
- W4298083178 hasLocation W42980831781 @default.
- W4298083178 hasLocation W42980831782 @default.
- W4298083178 hasOpenAccess W4298083178 @default.
- W4298083178 hasPrimaryLocation W42980831781 @default.
- W4298083178 hasRelatedWork W2016239421 @default.
- W4298083178 hasRelatedWork W2064985718 @default.
- W4298083178 hasRelatedWork W2068428530 @default.
- W4298083178 hasRelatedWork W2104480405 @default.
- W4298083178 hasRelatedWork W2110824700 @default.
- W4298083178 hasRelatedWork W2168453574 @default.
- W4298083178 hasRelatedWork W2340314605 @default.
- W4298083178 hasRelatedWork W2904894749 @default.
- W4298083178 hasRelatedWork W2912911271 @default.
- W4298083178 hasRelatedWork W3209179457 @default.
- W4298083178 isParatext "false" @default.
- W4298083178 isRetracted "false" @default.
- W4298083178 workType "article" @default.