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Calculating with lenses
<span title="">2011</span>
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<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4inzarpn6bccxa4a445nlydsbi" style="color: black;">Proceedings of the 20th ACM SIGPLAN workshop on Partial evaluation and program manipulation - PERM '11</a>
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This paper presents an equational calculus to reason about bidirectional transformations specified in the point-free style. In particular, it focuses on the so-called lenses as a bidirectional idiom, and shows that many standard laws characterising point-free combinators and recursion patterns are also valid in that setting. A key result is that uniqueness also holds for bidirectional folds and unfolds, thus unleashing the power of fusion as a program optimisation technique. A rewriting system
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... or automatic lens optimisation is also presented, to prove the usefulness of the proposed calculus.
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