Two results on one-way stack automata

A stack automaton is a device with a pushdown list which can be read by its storage head in a read only mode. In this paper, we show two properties of stack automata with a one-way input. (1) If a language is accepted by a nondeterministic one-way stack automaton, then it is accepted by a deterministic linear bounded automaton. (2) If a language, L, is accepted by a deterministic one-way stack automaton, and R is a regular set, then L/R = {x for some y in R, xy is in L} is accepted by a deterministic one-way stack automaton.