Abstract

In this paper, a new type of automation, called a two-way pushdown automaton is defined and studied. The model is a generalization of a pushdown automaton in that two-way motion is allowed on the input tape which is assumed to have endmarkers. The model is investigated in both the nondeterministic and deterministic cases. A number of basic results are obtained which include relationships with other families, closure and nonclosure results, and decidability properties. Certain special cases are studied such as the cases when the input alphabet has one letter and the device has no endmarkers.

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