# Time and tape bounded auxiliary pushdown automata

Communications

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## Abstract

We consider language families defined by nondeterministic and deterministic log(n)-tape bounded auxiliary pushdown automata within polynomial time. It is known that these families are precisely the set of languages which are (many-one) log tape reducible to context-free languages and deterministic context-free languages, respectively. The results described here relate questions concerning these classes to other complexity classes and to questions concerning the tape complexity of context-free languages, resolution based proof procedures, solvable path systems, and deterministic context-free languages.

## Keywords

Turing Machine Language Family Solution Graph Tree Resolution Path System
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## Copyright information

© Springer-Verlag Berlin Heidelberg 1977