By Koopman P. (Editor), Plasmeijer R. (Editor), Doaitse Swierstra (Editor)
This educational e-book offers seven conscientiously revised lectures given on the sixth foreign college on sensible Programming, AFP 2008, in Heijen, The Netherlands in might 2008.The e-book provides the subsequent seven, conscientiously cross-reviewed chapters, written via prime specialists within the box: Self-adjusting: Computation with Delta ML, spider spinning for dummies, from reduction-based to reduction-free normalization, libraries for prevalent programming in Haskell, dependently typed programming in agda, parallel and concurrent programming in Haskell and an iTask case examine: a convention administration procedure.
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Additional resources for Advanced Functional Programming: 6th International School, AFP 2008, Heijen, The Netherlands, May 19-24, 2008, Revised Lectures
Such an algorithm is said to be loopless. Our aim in these lectures is to show how to calculate a loopless algorithm for spider spinning. The calculation makes use of the fundamental laws of functional programming and the real purpose of the exercise is to show these laws in action. 1 Introduction Consider the problem of generating all bit strings a1 a2 . . an of length n satisfying given constraints of the form ai ≤ aj for various i and j . The generation is to be in Gray path order, meaning that exactly one bit changes from one bit string to the next.
The monadic primitives make it cumbersome to write self-adjusting program and also require substantial restructuring of existing code. Recent work developed direct language support self-adjusting computation and provided a compiler for the language , which ΔML is based on. Having direct language and compiler support not only simpliﬁes developing self-adjusting programs but also makes it possible to give a precise cost-semantics that enables programmer to analyze the time for change propagation .
Figure 8 shows the convex hull for our running example. It is a property of the convex hulls that the pair of circles that are farthest away from each other is on the hull. To ﬁnd the diameter of the circles eﬃciently, we can therefore ﬁrst ﬁnd the circles whose centers lie on the convex hull of the centers and consider only these circles when computing the farthest-apart pair. With this approach, we improve eﬃciency: computing convex hulls requires O(n log n) time and computing ﬁnding the diameter requires O(h2 ) time where h is the number of circles on the hull, which is generally signiﬁcantly smaller than the input n.
Advanced Functional Programming: 6th International School, AFP 2008, Heijen, The Netherlands, May 19-24, 2008, Revised Lectures by Koopman P. (Editor), Plasmeijer R. (Editor), Doaitse Swierstra (Editor)