Super strong ETH is true for PPSZ with small resolution width

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00531883" target="_blank" >RIV/67985840:_____/20:00531883 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4230/LIPIcs.CCC.2020.3" target="_blank" >http://dx.doi.org/10.4230/LIPIcs.CCC.2020.3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4230/LIPIcs.CCC.2020.3" target="_blank" >10.4230/LIPIcs.CCC.2020.3</a>

Result language

angličtina

Original language name

Super strong ETH is true for PPSZ with small resolution width

Original language description

We construct k-CNFs with m variables on which the strong version of PPSZ k-SAT algorithm, which uses resolution of width bounded by O(√log log m), has success probability at most 2−(1−(1+ε)2/k)m for every ε > 0. Previously such a bound was known only for the weak PPSZ algorithm which exhaustively searches through small subformulas of the CNF to see if any of them forces the value of a given variable, and for strong PPSZ the best known previous upper bound was 2−(1−O(log(k)/k))m (Pudlák et al., ICALP 2017).

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/GX19-27871X" target="_blank" >GX19-27871X: Efficient approximation algorithms and circuit complexity</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

35th Computational Complexity Conference (CCC 2020)

ISBN

978-3-95977-156-6

ISSN

1868-8969

e-ISSN

—

Number of pages

12

Pages from-to

3

Publisher name

Schloss Dagstuhl, Leibniz-Zentrum für Informatik

Place of publication

Dagstuhl

Event location

Saarbrücken

Event date

Jul 28, 2020

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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