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Presenting convex sets of probability distributions by convex semilattices and unique bases

We prove that every finitely generated convex set of finitely supported probability distributions has a unique base, and use this result to show that the monad of convex sets of probability distributions is presented by the algebraic theory of convex semilattices.

preprint2020arXivOpen access
Filippo BonchiAna SokolovaValeria Vignudelli
Logic in Computer Science
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Open access3 authors1 topic
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Filippo BonchiAna SokolovaValeria Vignudelli

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