English

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

Logic in Computer Science 2019-04-23 v1

Abstract

We generalise Ehrhard and Regnier's Taylor expansion from pure to probabilistic λ\lambda-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\lambda-terms, and that there is a precise correspondence with probabilistic B\"ohm trees, as introduced by the second author.

Cite

@article{arxiv.1904.09650,
  title  = {On the Taylor Expansion of Probabilistic $\lambda$-Terms (Long Version)},
  author = {Ugo Dal Lago and Thomas Leventis},
  journal= {arXiv preprint arXiv:1904.09650},
  year   = {2019}
}
R2 v1 2026-06-23T08:45:49.131Z