Attributes | Values |
---|
rdf:type
| |
Description
| - We give a new characterization of the strict %22Sbjjb sentences provable using Sbkbk induction, for 1 j k. As a small application we show that, in a certain sense, Buss’s witnessing theorem for strict Sbkbk formulas already holds over the relatively weak theory PV. We exhibit a combinatorial principle with the property that a lower bound for it in constant-depth Frege would imply that the narrow CNFs with short depth j Frege refutations form a strict hierarchy with j, and hence that the relativized bounded arithmetic hierarchy can be separated by a family of %22Sb1b1 sentences.
- We give a new characterization of the strict %22Sbjjb sentences provable using Sbkbk induction, for 1 j k. As a small application we show that, in a certain sense, Buss’s witnessing theorem for strict Sbkbk formulas already holds over the relatively weak theory PV. We exhibit a combinatorial principle with the property that a lower bound for it in constant-depth Frege would imply that the narrow CNFs with short depth j Frege refutations form a strict hierarchy with j, and hence that the relativized bounded arithmetic hierarchy can be separated by a family of %22Sb1b1 sentences. (en)
|
Title
| - Higher complexity search problems for bounded arithmetic and a formalized no-gap theorem
- Higher complexity search problems for bounded arithmetic and a formalized no-gap theorem (en)
|
skos:prefLabel
| - Higher complexity search problems for bounded arithmetic and a formalized no-gap theorem
- Higher complexity search problems for bounded arithmetic and a formalized no-gap theorem (en)
|
skos:notation
| - RIV/67985840:_____/11:00369682!RIV12-AV0-67985840
|
http://linked.open...avai/riv/aktivita
| |
http://linked.open...avai/riv/aktivity
| - P(1M0545), P(IAA100190902), P(LC505), Z(AV0Z10190503)
|
http://linked.open...iv/cisloPeriodika
| |
http://linked.open...vai/riv/dodaniDat
| |
http://linked.open...aciTvurceVysledku
| |
http://linked.open.../riv/druhVysledku
| |
http://linked.open...iv/duvernostUdaju
| |
http://linked.open...titaPredkladatele
| |
http://linked.open...dnocenehoVysledku
| |
http://linked.open...ai/riv/idVysledku
| - RIV/67985840:_____/11:00369682
|
http://linked.open...riv/jazykVysledku
| |
http://linked.open.../riv/klicovaSlova
| - bounded arithmetic; proof complexity; search problems (en)
|
http://linked.open.../riv/klicoveSlovo
| |
http://linked.open...odStatuVydavatele
| - DE - Spolková republika Německo
|
http://linked.open...ontrolniKodProRIV
| |
http://linked.open...i/riv/nazevZdroje
| - Archive for Mathematical Logic
|
http://linked.open...in/vavai/riv/obor
| |
http://linked.open...ichTvurcuVysledku
| |
http://linked.open...cetTvurcuVysledku
| |
http://linked.open...vavai/riv/projekt
| |
http://linked.open...UplatneniVysledku
| |
http://linked.open...v/svazekPeriodika
| |
http://linked.open...iv/tvurceVysledku
| |
http://linked.open...ain/vavai/riv/wos
| |
http://linked.open...n/vavai/riv/zamer
| |
issn
| |
number of pages
| |
http://bibframe.org/vocab/doi
| - 10.1007/s00153-011-0240-0
|