  Local observation is an important problem both for the foundations of a
quantum theory of gravity and for applications to quantum-cosmological problems
such as eternal inflation. While gauge invariant local observables can't be
defined, it has been argued that appropriate relational observables
approximately reduce to local observables in certain states. However, quantum
mechanics and gravity together imply limitations on the precision of their
localization. Such a relational framework is studied in the context of
two-dimensional gravity, where there is a high degree of analytic control. This
example furnishes a concrete example of some of the essential features of
relational observables.
