About: The polynomial and linear hierarchies in models where the weak pigeonhole principle fails     Goto   Sponge   NotDistinct   Permalink

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Description
  • Dokázali jsme několik podmíněných výsledků o nedokazatelnosti vět ze strukturální teorie složitosti a slabé aritmetiky. Konkrétně jsme ukázali za předpokladu, že rozklad čísel je těžká operace, že existuje model PV, ve kterém polynomiální hierarchie nekolapsuje na lineární hierarchii, že existuje model S^1_2, ve kterém NP není druhá hladina lineární hierarchie a že existuje model S^1_2, ve kterém polynomiální hierarchie kolapsuje na lineární hierarchii. (cs)
  • We give some conditional unprovability results about statements from structural complexity theory in weak arithmetic. In particular we show, under the assumption that factoring is hard, that a model of PV exists in which the polynomial hierarchy does not collapse to the linear hierarchy; that a model of S^1_2 exists in which NP is not in the second level of the linear hierarchy; and that a model of S^1_2 exists in which the polynomial hierarchy collapses to the linear hierarchy and in which the strict version of PH does not collapse to a finite level.
  • We give some conditional unprovability results about statements from structural complexity theory in weak arithmetic. In particular we show, under the assumption that factoring is hard, that a model of PV exists in which the polynomial hierarchy does not collapse to the linear hierarchy; that a model of S^1_2 exists in which NP is not in the second level of the linear hierarchy; and that a model of S^1_2 exists in which the polynomial hierarchy collapses to the linear hierarchy and in which the strict version of PH does not collapse to a finite level. (en)
Title
  • The polynomial and linear hierarchies in models where the weak pigeonhole principle fails
  • The polynomial and linear hierarchies in models where the weak pigeonhole principle fails (en)
  • Polynomiální a lineární hierarchie v modelech, kde neplatí slabý princip PHP (cs)
skos:prefLabel
  • The polynomial and linear hierarchies in models where the weak pigeonhole principle fails
  • The polynomial and linear hierarchies in models where the weak pigeonhole principle fails (en)
  • Polynomiální a lineární hierarchie v modelech, kde neplatí slabý princip PHP (cs)
skos:notation
  • RIV/67985840:_____/08:00319585!RIV09-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC505), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 387445
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/08:00319585
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • polynomial and linear hierarchies in models (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [7B12CBE9FDC1]
http://linked.open...i/riv/nazevZdroje
  • Journal of Symbolic Logic
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 73
http://linked.open...iv/tvurceVysledku
  • Thapen, Neil
  • Kolodziejczyk, L.. A.
http://linked.open...ain/vavai/riv/wos
  • 000256103700013
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-4812
number of pages
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