- The approximation lemma is a simplification of the well-known take lemma, and is used to prove properties of programs that produce lists of values. We show how the approximation lemma, unlike the take lemma, can naturally be generalized from lists to a large class of datatypes, and present a generic approximation lemma that is parametric in the datatype to which it applies. As a useful by-product, we find that generalizing the approximation lemma in this way also simplifies its proof. © 2001 Elsevier Science B.V.
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The generic approximation lemma
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