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The SPARQL query language is a recent W3C standard for processing RDF data, a format that has been developed to encode information in a machine readable way. The authors investigate the foundations of SPARQL query optimization and provide novel complexity results for the SPARQL evaluation problem, showing that the main source of complexity is operator Optional alone; propose a comprehensive set of algebraic query rewriting rules; present a framework for constraint based SPARQL optimization based upon the well-known chase procedure for Conjunctive Query minimization. In this line, they develop two novel termination conditions for the chase.
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