  We prove that the generalised word problem of a finitely generated subgroup
of a finitely generated virtually free group is context-free, that a hyperbolic
group must be virtually free if it has a torsion-free quasiconvex subgroup of
infinite index with context-free generalised word problem, and that, for any
hyperbolic group, the generalised word problem of a torsion-free quasiconvex
subgroup is recognised by a real-time Turing machine.
