Leaf languages and string compression

Markus Lohrey
Tight connections between leafs languages and strings compressed via straight-line programs (SLPs) are established. It is shown that the compressed membership problem for a language $L$ is complete for the leaf language class defined by $L$ via logspace machines. A more difficult variant of the compressed membership problem for $L$ is shown to be complete for the leaf language class defined by $L$ via polynomial time machines. As a corollary, a fixed linear visibly pushdown...