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arXiv · 2602.04045

Bayesian Networks and Proof-Nets: the proof-theory of Bayesian Inference

Rémi Di Guardia·Thomas Ehrhard·Jérôme Evrard·Claudia Faggian
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Abstract

We study the correspondence between Bayesian Networks and graphical representation of proofs in linear logic. The goal of this paper is threefold: to develop a proof-theoretical account of Bayesian inference (in the spirit of the Curry-Howard correspondence between proofs and programs), to provide compositional graphical methods, and to take into account computational efficiency. We exploit the fact that the decomposition of a graph is more flexible than that of a proof-tree, or of a type-derivation, even if compositionality becomes more challenging.

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Rémi Di Guardia, Thomas Ehrhard, Jérôme Evrard, Claudia Faggian. 2026-02-03. Bayesian Networks and Proof-Nets: the proof-theory of Bayesian Inference. https://arxiv.org/abs/2602.04045

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