A Study of a Positive Fragment of Path Queries: Expressiveness, Normal Form and Minimization

Abstract

We study the expressiveness of a positive fragment of path queries, denoted Path+, on documents that can be represented as node-labeled trees. The expressiveness of Path+ is studied from two angles. First, we establish that Path+ is equivalent in expressive power to two particular subfragments, as well as to the class of tree queries, a subclass of the first-order conjunctive queries defined over the label, parent–child and child–parent predicates. The translation algorithm from tree queries to Path+ yields a normal form for Path+ queries. Using this normal form, we can decompose a Path+ query into subqueries that can be expressed in a very small fragment of Path+ for which efficient evaluation strategies are available. Second, we characterize the expressiveness of Path+ in terms of its ability to resolve nodes in a document. This result is used to show that each tree query can be translated to a unique, equivalent and minimal tree query. The combination of these results yields an effective strategy to evaluate a large class of path queries on documents.