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abstract algorithmic skeletons allocation amount of data approach cells chapter collection types communications complex applications components configurations construct data model data parallel data partitioning data types data-intensive applications database queries dataflow dataflow languages decision-support defined denotes disk disk-cells elements execution exploited filter forms of parallelism free Monoid Hence hom skeleton hom(M idempotent incorporates input iterations loop loop fusion mapping merge MHL expression model of parallelism monoid comprehensions monoid definition dictionary monoid homomorphism MQL query nested nodes normalisation object code optimisations parallel computation parallel evaluation parallel machine parallel programming parallelised partial results performance pipeline predicate process graph processors query language query modelling query optimiser realised recursion reduce relop rewrite rules runtime system selectivity query sequential shared-nothing skeleton code skeleton evaluator skeleton program software architecture speedup split skeleton structure symbol table record synchronisation task parallelism total number tree variable zero