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POPL 2026★ Distinguished Paper

An Equational Axiomatization of Dynamic Threads via Algebraic Effects: Presheaves on Finite Relations, Labelled Posets, and Parameterized Algebraic Theories

Ohad Kammar, Jack Liell-Cock, Sam Lindley, Cristina Matache, Sam Staton

We use the theory of algebraic effects to give a complete equational axiomatization for dynamic threads. Our method is based on parameterized algebraic theories, which give a concrete syntax for strong monads on functor categories, and are a convenient framework for names and bin…