Reversals and Alternation

Auxiliary pushdown automata have been proven to be a useful tool for the characterization of complexity classes. In this paper we consider the pushdown reversal complexity of these machines, and show that especially in connection with a simultaneous space bound, pushdown reversals provide a uniform measure for the characterization of awide range of complexity classes, located between L and P. It is shown that classes defined by reversal bounds are included in those of restricted pushdown height.