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Proof Methods for Corecursive Programs

Gibbons J., Hutton G.

Fundamenta Informaticae

2005

Vol. 66, nr 4

353--366

Recursion is a well-known and powerful programming technique, with a wide variety of applications. The dual technique of corecursion is less well-known, but is increasingly proving to be just as useful. This article is a tutorial on the four main methods for proving properties of corecursive programs: fixpoint induction, the approximation (or take) lemma, coinduction, and fusion.