The Central Valuations Monad
Résumé
We give a commutative valuations monad $\mathcal{Z}$ on the category DCPO of dcpo's and Scott-continuous functions. Compared to the commutative valuations monads given in [2], our new monad Z is larger and it contains all push-forward images of valuations on the unit interval [0, 1] along lower semi-continuous maps. We believe that this new monad will be useful in giving domain-theoretic denotational semantics for statistical programming languages with continuous probabilistic choice.
Domaines
Informatique [cs]
Origine : Fichiers produits par l'(les) auteur(s)