Probabilistic predicate transformers

Abstract

Probabilistic predicates generalize standard predicates over a state space; with probabilistic predicate transformers one thus reasons about imperative programs in terms of probabilistic pre- and postconditions. Probabilistic healthiness conditions generalize the standard ones, characterizing “real” probabilistic programs, and are based on a connection with an underlying relational model for probabilistic execution; in both contexts demonic nondeterminism coexists with probabilistic choice. With the healthiness conditions, the associated weakest-precondition calculus seems suitable for exploring the rigorous derivation of small probabilistic programs.