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List partitions
Authors:R. S. Bird  O. de Moor
Affiliation:(1) Oxford University Programming Research Group, Oxford, UK
Abstract:By definition, apartition of a list is a division of that list into nonempty contiguous segments. Many programming and operations research problems can be specified in terms of list partitions, and we present a hierarchy of theorems for deriving programs from such specifications. Throughout, reasoning is conducted in an equational style using the calculus for program synthesis developed by Bird and Meertens.Supported by a BP research studentship.
Keywords:Dynamic programming  Greedy algorithm  List partitions  Program calculus  Program transformation
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