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The World Wide Web currently evolves into a Web of Linked Data where contentproviders publish and link data as they have done with hypertext for the last20 years. While the declarative query language SPARQL is the de facto forquerying a-priory defined sets of data from the Web, no language exists forquerying the Web of Linked Data itself. However, it seems natural to askwhether SPARQL is also suitable for such a purpose.  In this paper we formally investigate the applicability of SPARQL as a querylanguage for Linked Data on the Web. In particular, we study two query models:1) a full-Web semantics where the scope of a query is the complete set ofLinked Data on the Web and 2) a family of reachability-based semantics whichrestrict the scope to data that is reachable by traversing certain data links.For both models we discuss properties such as monotonicity and computability aswell as the implications of querying a Web that is infinitely large due to datagenerating servers.

SPARQL for a Web of Linked Data: Semantics and Computability (Extended Version)