Note that there are very systematic and natural ways to derive dynamic programming algorithms in functional languages. In a sense, much of the work of R. Bird centers this topic. The book "Algebra of Programming" http://web.comlab.ox.ac.uk/oucl/research/pdt/ap/pubs.html#Bird-deMoor96:Algebra is one of the cornerstones. The systematic derivation of dynamic programming algorithms has been rediscovered in a more direct but less general fashion http://bibiserv.techfak.uni-bielefeld.de/adp/
Thanks a lot for providing the links! Interesting stuff! And also many thanks for the examplary implementation. This is really enlightening. Ciao, Steffen
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