In this paper we present Regular XPath (RXPath), which is a natural extension of
XPath with regular expressions over paths that has the same computational properties as
XPath: linear-time query evaluation and exponential-time reasoning. To establish these
results, we devise a unifying automata-theoretic framework based on two-way weak alternating
tree automata. Specifically, we consider automata that have infinite runs on fi-
nite trees. This enables us to leverage and simplify existing automata-theoretic machinery
and develop algorithms both for query evaluation and for reasoning over queries.
With respect to the latter problem, we consider RXPath as a constraint language, and
study constraint satisfiability, and query satisfiability and containment under constraints
in the setting of RXPath.