Abstract
Due to the work of Baker, Gill and Solovay [SIAM J. Comput., 4 (1975), pp. 431–442] and others, it has become a paradigm that important open questions about complexity classes do not relativize. This paper develops restrictions of the standard oracle machine model for which, in contrast, positive inclusion relationships do relativize. Our results are obtained by uniform simulation techniques. As a consequence, the new oracle machine models exhibit the same computational power as do the corresponding nonrelativized devices.
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