Programming

Advanced Functional Programming: 6th International School, by Umut A. Acar, Ruy Ley-Wild (auth.), Pieter Koopman, Rinus

By Umut A. Acar, Ruy Ley-Wild (auth.), Pieter Koopman, Rinus Plasmeijer, Doaitse Swierstra (eds.)

This educational booklet offers seven rigorously revised lectures given on the sixth foreign tuition on practical Programming, AFP 2008, in Heijen, The Netherlands in may possibly 2008.

The e-book offers the subsequent seven, conscientiously cross-reviewed chapters, written by way of best specialists within the box: Self-adjusting: Computation with Delta ML, spider spinning for dummies, from reduction-based to reduction-free normalization, libraries for known programming in Haskell, dependently typed programming in agda, parallel and concurrent programming in Haskell and an iTask case learn: a convention administration system.

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Extra info for Advanced Functional Programming: 6th International School, AFP 2008, Heijen, The Netherlands, May 2008, Revised Lectures

Example text

Society for Industrial and Applied Mathematics, pp. 747–756 (1997) 20. : Data structures for mobile data. Journal of Algorithms 31(1), 1–28 (1999) 21. : Dynamic Programming. Princeton University Press, Princeton (1957) 22. : Dynamic planar convex hull. In: Proceedings of the 43rd Annual IEEE Symposium on Foundations of Computer Science, pp. 617–626 (2002) 23. : Monads for Incremental Computing. In: Proceedings of the 7th ACM SIGPLAN International Conference on Functional programming, pp. 26–35.

See Figure 10 *) fun reduce = . . (* See Figure 11 *) fun quick hull l = . . CONS(m, findAllDist $ t)) end end val val val val val in putM hull = quick hull $ l dist = findAllDist $ hull max = reduce maxDist $ dist ((ida,idb), ) = get $ max = print ("diameter = : " ^ ida $ (NONE,(ida,idb)) end ^ " x " ^ idb afun processCircles l = (renderCircles l ; findDiameter l) Fig. 7. The code for the core ^ "/n") Self-adjusting Computation with Delta ML 19 The function findDiameter computes the diameter of the set of circles and prints it on the screen.

The problem of spider spinning is then to enumerate all legal colourings by starting with one such colouring and changing the colour of exactly one node at each step. As we will see, the initial colouring cannot in general be chosen to be the all-white or all-black colouring. Spider spinning has a twist: we want the generation to be loopless, meaning that the first transition should be produced in linear time in the size of the nest, and each subsequent transition in constant time. Note carefully that the idea of a loopless algorithm is defined in terms of the transitions between bit strings, not the bit strings themselves.

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