On the Taylor Expansion of Probabilistic $λ$-Terms (Long Version)

Ugo Dal Lago; Thomas Leventis

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arXiv · 1904.09650

On the Taylor Expansion of Probabilistic $λ$-Terms (Long Version)

Ugo Dal Lago·Thomas Leventis

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Abstract

We generalise Ehrhard and Regnier's Taylor expansion from pure to probabilistic $λ$-terms through notions of probabilistic resource terms and explicit Taylor expansion. We prove that the Taylor expansion is adequate when seen as a way to give semantics to probabilistic $λ$-terms, and that there is a precise correspondence with probabilistic Böhm trees, as introduced by the second author.

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Ugo Dal Lago, Thomas Leventis. 2019-04-21. On the Taylor Expansion of Probabilistic $λ$-Terms (Long Version). https://arxiv.org/abs/1904.09650

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