We propose a modal logic tailored to describe graph transformations and
discuss some of its properties. We focus on a particular class of graphs called
termgraphs. They are first-order terms augmented with sharing and cycles.
Termgraphs allow one to describe classical data-structures (possibly with
pointers) such as doubly-linked lists, circular lists etc. We show how the
proposed logic can faithfully describe (i) termgraphs as well as (ii) the
application of a termgraph rewrite rule (i.e. matching and replacement) and
(iii) the computation of normal forms with respect to a given rewrite system.
We also show how the proposed logic, which is more expressive than
propositional dynamic logic, can be used to specify shapes of classical
data-structures (e.g. binary trees, circular lists etc.)
