License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CALCO.2021.11
URN: urn:nbn:de:0030-drops-153666
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/15366/
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Bonchi, Filippo ; Sokolova, Ana ; Vignudelli, Valeria

Presenting Convex Sets of Probability Distributions by Convex Semilattices and Unique Bases ((Co)algebraic pearls)

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LIPIcs-CALCO-2021-11.pdf (0.8 MB)

Abstract

We prove that every finitely generated convex set of finitely supported probability distributions has a unique base. We apply this result to provide an alternative proof of a recent result: the algebraic theory of convex semilattices presents the monad of convex sets of probability distributions.

BibTeX - Entry

@InProceedings{bonchi_et_al:LIPIcs.CALCO.2021.11,
  author =	{Bonchi, Filippo and Sokolova, Ana and Vignudelli, Valeria},
  title =	{{Presenting Convex Sets of Probability Distributions by Convex Semilattices and Unique Bases}},
  booktitle =	{9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)},
  pages =	{11:1--11:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-212-9},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{211},
  editor =	{Gadducci, Fabio and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/15366},
  URN =		{urn:nbn:de:0030-drops-153666},
  doi =		{10.4230/LIPIcs.CALCO.2021.11},
  annote =	{Keywords: Convex sets of distributions monad, Convex semilattices, Unique base}
}

Keywords: Convex sets of distributions monad, Convex semilattices, Unique base
Collection: 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021)
Issue Date: 2021
Date of publication: 08.11.2021

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