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Smoothing the gap between NP and ER

Research output: Conference Article in Proceeding or Book/Report chapterArticle in proceedingsResearchpeer-review

Abstract

We study algorithmic problems that belong to the complexity class of the existential theory of the reals (ER). A problem is ER-complete if it is as hard as the problem ETR and if it can be written as an ETR formula. Traditionally, these problems are studied in the real RAM, a model of computation that assumes that the storage and comparison of real-valued numbers can be done in constant space and time, with infinite precision.
Original languageEnglish
Title of host publication2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS)
Number of pages12
PublisherIEEE
Publication date2020
Pages1022-1033
DOIs
Publication statusPublished - 2020
Externally publishedYes
Event Foundations of Computer Science - Sydney, Australia
Duration: 14 Dec 202017 Dec 2020
Conference number: 61

Conference

Conference Foundations of Computer Science
Number61
Country/TerritoryAustralia
CitySydney
Period14/12/202017/12/2020

Keywords

  • Existential Theory of the Real Numbers
  • ER-complete
  • ETR
  • Real RAM
  • Computational Complexity

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