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In this paper, we investigate a relationship between manyone-like autoreducibility and completeness for classes of functions computed by polynomial-time nondeterministic Turing transducers. We prove two results. One is that any many-one complete function for these classes is metric many-one autoreducible. The other is that any strict metric manyone complete function for these classes is strict metric many-one autoreducible. key words: partial multivalued function, autoreduction, many-one-like reduction

Autoreducibility and Completeness for Partial Multivalued Functions