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Presenting convex sets of probability distributions by convex semilattices and unique bases
Published 4 May 2020 in cs.LO | (2005.01670v1)
Abstract: 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.
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