On the Complexity of Finite, Pushdown, and Stack Automata.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The complexity of predicates on the 1-way finite, pushdown, and stack automata languages is studied. Every nontrivial predicate on the 1-way stack languages is shown to require exponential time, when applied to the stack automata, indexed grammars, or OI-macro grammars. Every nontrivial predicate on the context-free languages requires as much time and space as any 2-way pushdown automaton language.
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