Abstract

The effect of the number of work tapes on computational power of real-time Turing machines is considered. Well-known results state that k tapes are better than k–1 tapes in the case of deterministic machines and, for nondeterministic ones, two tapes are as good as many tapes. We show that alternating real-time pushdown automata recognize the same class of languages as multitape alternating machines working in linear time. It is also shown that the automata making a constant number of alternations and only one reversal recognize exactly rudimentary languages.

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