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Publisher: Elsevier Science
Languages: English
Types: Article
Subjects:

Classified by OpenAIRE into

ACM Ref: TheoryofComputation_MISCELLANEOUS, TheoryofComputation_GENERAL, TheoryofComputation_LOGICSANDMEANINGSOFPROGRAMS
arxiv: Computer Science::Programming Languages
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 generalised 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 generalising the approximation lemma in this way also simplifies its proof.

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