  Graph grammars extend the theory of formal languages in order to model
distributed parallelism in theoretical computer science. We show here that to
certain classes of context-free and context-sensitive graph grammars one can
associate a Lie algebra, whose structure is reminiscent of the insertion Lie
algebras of quantum field theory. We also show that the Feynman graphs of
quantum field theories are graph languages generated by a theory dependent
graph grammar.
