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Tool SPECS implements an efficient automated approach for reasoning about theSPARQL query containment problem. In this paper, we prove the correctness ofthis approach. We give precise semantics of the core subset of SPARQL language.We briefly discuss the procedure used for reducing the query containmentproblem into a formal logical framework. We prove that such reduction is bothsound and complete for conjunctive queries, and also for some important casesof non-conjunctive queries containing operator union, operator optional, andsubqueries. Soundness and completeness proofs are considered in bothcontainment and subsumption forms.

Soundness and Completeness of SPARQL Query Containment Solver SpeCS