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Abstract: “Liquid Haskell is an extension to the type system of Haskell that supports formal reasoning about program correctness by encoding logical properties as refinement types. In this article, we show how Liquid Haskell can also be used to reason about program efficiency in the same setting, with the system’s existing verification machinery being used to ensure that the results are both valid and precise. To illustrate our approach, we analyse the efficiency of a wide range of popular data structures and algorithms, and in doing so, explore various notions of resource usage. Our experience is that reasoning about efficiency in Liquid Haskell is often just as simple as reasoning about correctness, and that the two can naturally be combined.”

Meta: There’s overlap between plt and formal methods. I tag things about types as plt, things about proof as formalmethods, and both for this since it has something for both crowds.