On derandomization and average-case complexity of monotone functions

dc.contributor.authorKarakostas, G.en
dc.contributor.authorKinne, J.en
dc.contributor.authorvan Melkebeek, D.en
dc.date.accessioned2015-11-24T17:26:08Z
dc.date.available2015-11-24T17:26:08Z
dc.identifier.issn0304-3975-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13153
dc.rightsDefault Licence-
dc.subjectderandomizationen
dc.subjectmonotone circuitsen
dc.subjectmonotone functionsen
dc.subjectrandomized algorithmen
dc.subjectpseudorandom generatorsen
dc.subjectaverage-case complexityen
dc.subjectboolean functionsen
dc.subjecthardnessen
dc.subjectboundsen
dc.titleOn derandomization and average-case complexity of monotone functionsen
heal.abstractWe investigate whether circuit lower bounds for monotone circuits can be used to derandomize randomized monotone circuits. We show that, in fact, any derandomization of randomized monotone computations would derandomize all randomized computations, whether monotone or not. We prove similar results in the settings of pseudorandom generators and average-case hard functions - that a pseudorandom generator secure against monotone circuits is also secure with somewhat weaker parameters against general circuits, and that an average-case hard function for monotone circuits is also hard with somewhat weaker parameters for general circuits. (C) 2012 Elsevier B.V. All rights reserved.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDOI 10.1016/j.tcs.2012.02.017-
heal.identifier.secondary<Go to ISI>://000303903700004-
heal.identifier.secondaryhttp://ac.els-cdn.com/S0304397512001582/1-s2.0-S0304397512001582-main.pdf?_tid=56fa8ab4-873f-11e3-a7e0-00000aab0f6c&acdnat=1390819366_c3b9245363ffcfd6d4e10adede0eefff-
heal.journalNameTheoretical Computer Scienceen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2012-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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