Nonuniform Coercions via Unification Hints

Details Nonuniform Coercions via Unification Hints Nonuniform Coercions via Unification Hints

2011-03-17

arxiv.org/abs/1103.3320v1

EPTCS 53, 2011, pp. 16-29

Computer Science

Logic in Computer Science

In Proceedings TYPES 2009, arXiv:1103.3111

Scientific paper

10.4204/EPTCS.53.2

We introduce the notion of nonuniform coercion, which is the promotion of a value of one type to an enriched value of a different type via a nonuniform procedure. Nonuniform coercions are a generalization of the (uniform) coercions known in the literature and they arise naturally when formalizing mathematics in an higher order interactive theorem prover using convenient devices like canonical structures, type classes or unification hints. We also show how nonuniform coercions can be naturally implemented at the user level in an interactive theorem prover that allows unification hints.

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