We define sound and adequate denotational and operational semantics for the stochastic lambda calculus. These two semantic approaches build on previous work that used similar techniques to reason about higher-order probabilistic programs, but for the first time admit an adequacy theorem relating the operational and denotational views. This resolves the main issue left open in (Bacci et al. 2018).

翻译：这两种语义学方法以先前的工作为基础,以前的工作使用了类似技术来解释更高阶概率方案,但首次承认与操作和分解观点有关的充分理论。这解决了目前尚未解决的主要问题(Bacci等人,2018年)。