Theorem Proving for All: Equational Reasoning in Liquid Haskell (Functional Pearl)
Equational reasoning is one of the key features of pure functional languages such as Haskell. To date, however, such reasoning always took place externally to Haskell, either manually on paper, or mechanised in a theorem prover. This article shows how equational reasoning can be performed directly and seamlessly within Haskell itself, and be checked using Liquid Haskell. In particular, language learners — to whom external theorem provers are out of reach — can benefit from having their proofs mechanically checked. Concretely, we show how the equational proofs and derivations from Graham’s textbook can be recast as proofs in Haskell (spoiler: they look essentially the same).
Fri 28 SepDisplayed time zone: Guadalajara, Mexico City, Monterrey change
15:30 - 16:00
|Theorem Proving for All: Equational Reasoning in Liquid Haskell (Functional Pearl)|
Niki Vazou University of Maryland, USA, Joachim Breitner DFINITY Foundation, Rose Kunkel University of Maryland, USA, David Van Horn University of Maryland, USA, Graham Hutton University of Nottingham, UKDOI
Nicolas Wu University of Bristol, UK