Discrete Mathematics & Theoretical Computer Science, Vol 4, No 2 (2001)

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Finite Automata with Generalized Acceptance Criteria

Timo Peichl, Heribert Vollmer


We examine the power of nondeterministic finite automata with acceptance of an input word defined by a leaf language, i.e., a condition on the sequence of leaves in the automaton's computation tree. We study leaf languages either taken from one of the classes of the Chomsky hierarchy, or taken from a time- or space-bounded complexity class. We contrast the obtained results with those known for leaf languages for Turing machines and Boolean circuits.

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