Coinductive Soundness of Corecursive Type Class Resolution

@inproceedings{Farka2016CoinductiveSO,
  title={Coinductive Soundness of Corecursive Type Class Resolution},
  author={Frantisek Farka and E. Komendantskaya and K. Hammond},
  booktitle={LOPSTR},
  year={2016}
}
Horn clauses and first-order resolution are commonly used to implement type classes in Haskell. Several corecursive extensions to type class resolution have recently been proposed, with the goal of allowing (co)recursive dictionary construction where resolution does not terminate. This paper shows, for the first time, that corecursive type class resolution and its extensions are coinductively sound with respect to the greatest Herbrand models of logic programs and that they are inductively… Expand
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