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Universal Semantics for the Stochastic λ-Calculus

Pedro H. Azevedo de Amorim, Dexter Kozen, Radu Mardare, Prakash Panangaden, Michael Roberts

2021Year
5Citations

Abstract

We define sound and adequate denotational and operational semantics for the stochastic lambda calculus. These two semantic approaches build on previous work that used an explicit source of randomness to reason about higher-order probabilistic programs.

The function Fun 2 is injective:

We define Lam 2 to be the inverse of Fun 2 on the image of Fun 2 . Thus

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