We define a notion of stable and measurable map between cones endowed with measurability tests and show that it forms a cpo-enriched cartesian closed category. This category gives the first denotational model of an extension of PCF supporting the main primitives of probabilistic functional programming, like continuous and discrete probabilistic distributions, sampling, conditioning and full recursion. We prove the soundness and adequacy of this model with respect to a call-by-name operational semantics and give some examples of its denotations.
Fri 12 Jan (GMT-07:00) Tijuana, Baja California change
|13:40 - 14:05|
|14:05 - 14:30|
|14:30 - 14:55|
|14:55 - 15:20|
Adam ŚcibiorUniversity of Cambridge and MPI Tuebingen, Ohad KammarUniversity of Oxford, Matthijs VákárUniversity of Oxford, Sam StatonUniversity of Oxford, Hongseok YangUniversity of Oxford, Yufei CaiUniversity of Tuebingen, Klaus OstermannUniversity of Tuebingen, Sean K. MossUniversity of Cambridge, Chris HeunenUniversity of Edinburgh, Zoubin GhahramaniUniversity of Cambridge