The computational meaning of probabilistic coherent spaces

Thomas Ehrhard (1) , Michele Pagani (1) , Christine Tasson (1)

1 PPS - Preuves, Programmes et Systèmes

We study the probabilistic coherent spaces - a denotational semantics interpreting programs by power series with non negative real coefficients. We prove that this semantics is adequate for a probabilistic extension of the untyped λ-calculus: the probability that a term reduces to ahead normal form is equal to its denotation computed on a suitable set of values. The result gives, in a probabilistic setting, a quantitative refinement to the adequacy of Scott's model for untyped λ-calculus.

Mots clés: Coherence; Computational modeling; Equations; Indexes; Mathematical model; Probabilistic logic; Semantics

Domaines: Logique en informatique [cs.LO]

Thomas Ehrhard, Michele Pagani, Christine Tasson. The computational meaning of probabilistic coherent spaces. Logic in Computer Science (LICS), Jun 2011, Toronto, ON, Canada. pp.87 - 96, ⟨10.1109/LICS.2011.29⟩. ⟨hal-00627490⟩