@inproceedings{maillard2019dijkstra,
author = {Maillard, Kenji and Ahman, Danel and Atkey, Robert and Martinez, Guido and Hritcu, Catalin and Rivas, Exequiel and Tanter, Éric},
title = {Dijkstra Monads for All},
booktitle = {24th ACM SIGPLAN International Conference on Functional Programming (ICFP)},
year = {2019},
month = {June},
abstract = {This paper proposes a general semantic framework for verifying programs with arbitrary monadic side-effects using Dijkstra monads, which we define as monad-like structures indexed by a specification monad. We prove that any monad morphism between a computational monad and a specification monad gives rise to a Dijkstra monad, which provides great flexibility for obtaining Dijkstra monads tailored to the verification task at hand. We moreover show that a large variety of specification monads can be obtained by applying monad transformers to various base specification monads, including predicate transformers and Hoare-style pre- and postconditions. For defining correct monad transformers, we propose a language inspired by Moggi's monadic metalanguage that is parameterized by a dependent type theory. We also develop a notion of algebraic operations for Dijkstra monads, and start to investigate two ways of also accommodating effect handlers. We implement our framework in both Coq and F*, and illustrate that it supports a wide variety of verification styles for effects such as exceptions, nondeterminism, state, input-output, and general recursion.},
url = {http://approjects.co.za/?big=en-us/research/publication/dijkstra-monads-for-all/},
}