Modular Denotational Semantics for Effects with Guarded Interaction Trees

Explore a 21-minute conference talk from POPL 2024 that introduces guarded interaction trees, a framework for representing higher-order computations with higher-order effects in Coq. Delve into the presentation of a structure inspired by domain theory and interaction trees, along with an accompanying separation logic for reasoning. Learn how guarded interaction trees provide a convenient domain for interpreting higher-order languages with effects through the demonstration of a PCF-like language interpretation. Discover the modular approach to combining and reasoning about different effects, illustrated through a proof of type soundness for cross-language interactions. Gain insights into the formalization of all results in Coq using the Iris logic over guarded type theory, with available and reusable artifacts for further exploration.