Representing Matroids over the Reals is $\exists \mathbb R$-complete

A matroid $M$ is an ordered pair $(E,I)$, where $E$ is a finite set called the ground set and a collection $I\subset 2^{E}$ called the independent sets which satisfy the conditions: (i) $\emptyset \in I$, (ii) $I'\subset I \in I$ implies $I'\in I$, and (iii) $I_1,I_2 \in I$ and $|I_1| &...

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Bibliographic Details
Main Authors: Eun Jung Kim, Arnaud de Mesmay, Tillmann Miltzow
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2024-08-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:http://dmtcs.episciences.org/10810/pdf
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