First-order reasoning and efficient semi-algebraic proofs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00546779" target="_blank" >RIV/67985840:_____/21:00546779 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1109/LICS52264.2021.9470546" target="_blank" >http://dx.doi.org/10.1109/LICS52264.2021.9470546</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/LICS52264.2021.9470546" target="_blank" >10.1109/LICS52264.2021.9470546</a>

Result language

angličtina

Original language name

First-order reasoning and efficient semi-algebraic proofs

Original language description

Semi-algebraic proof systems such as sum-of-squares (SoS) have attracted a lot of attention recently due to their relation to approximation algorithms [3]: constant degree semi-algebraic proofs lead to conjecturally optimal polynomial-time approximation algorithms for important NP-hard optimization problems (cf. [4]). Motivated by the need to allow a more streamlined and uniform framework for working with SoS proofs than the restrictive propositional level, we initiate a systematic first-order logical investigation into the kinds of reasoning possible in algebraic and semi-algebraic proof systems.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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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/GA19-05497S" target="_blank" >GA19-05497S: Complexity of mathematical proofs and structures</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Article name in the collection

36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)

ISBN

978-1-6654-4896-3

ISSN

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e-ISSN

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Number of pages

13

Pages from-to

9470546

Publisher name

IEEE

Place of publication

Piscataway

Event location

Rome

Event date

Jun 29, 2021

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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