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  • One of the major open problems in complexity theory is proving super-logarithmic lower bounds on the depth of circuits (i.e., ...). This problem is interesting for two reasons: first, it is tightly related to understanding the power of parallel computation and of small-space computation; second, it is one of the first milestones toward proving super-polynomial circuit lower bounds. In this work, we make a natural step in this direction, which lies between what is known and the original conjecture: we show that an analogue of the KRW Composition Conjecture holds for the composition of a function with a universal relation.
  • One of the major open problems in complexity theory is proving super-logarithmic lower bounds on the depth of circuits (i.e., ...). This problem is interesting for two reasons: first, it is tightly related to understanding the power of parallel computation and of small-space computation; second, it is one of the first milestones toward proving super-polynomial circuit lower bounds. In this work, we make a natural step in this direction, which lies between what is known and the original conjecture: we show that an analogue of the KRW Composition Conjecture holds for the composition of a function with a universal relation. (en)
Title
  • Toward better formula lower bounds: an information complexity approach to the KRW composition conjecture
  • Toward better formula lower bounds: an information complexity approach to the KRW composition conjecture (en)
skos:prefLabel
  • Toward better formula lower bounds: an information complexity approach to the KRW composition conjecture
  • Toward better formula lower bounds: an information complexity approach to the KRW composition conjecture (en)
skos:notation
  • RIV/67985840:_____/14:00434460!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(GBP202/12/G061)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Gavinsky, Dmitry
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 50781
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/14:00434460
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • formula lower bounds; information complexity; composition conjecture (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [68F1BBF639E4]
http://linked.open...v/mistoKonaniAkce
  • New York
http://linked.open...i/riv/mistoVydani
  • New York
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 46th Annual ACM Symposium on Theory of Computing (STOC 2014)
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Gavinsky, Dmitry
  • Meir, O.
  • Weinstein, O.
  • Wigderson, A.
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
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  • ACM
https://schema.org/isbn
  • 978-1-4503-2710-7
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