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abstract algorithmic skeletons allocation amount of data approach cells chapter collection types communications complex applications 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 efficient execution exploited filter forms of parallelism free Monoid Hence hom skeleton hom.evar hom[Mi,Mi idempotent incorporates input iterations loop loop fusion mapping merge MHL expression Mi(a model of parallelism monoid comprehensions monoid homomorphism MQL query nested nodes normalisation object code optimisations out(bag res 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 rewrite rules runtime system selectivity query sequential skeleton code skeleton evaluator skeleton program software architecture speedup split skeleton structural recursion structure symbol table record synchronisation task parallelism total number tree variable zero[Mi