The isomorphism conjecture holds relative to an oracle. Fenner, S., Fortnow, L., & Kurtz, S. In Proceedings of the 33rd IEEE Symposium on Foundations of Computer Science, pages 30-39. IEEE, New York, 1992. Paper doi bibtex @incollection{FFK2-C,
author = "Fenner, S. and L. Fortnow and S. Kurtz",
title = "The isomorphism conjecture holds relative to an oracle",
publisher = "IEEE",
address = "New York",
url = "https://dx.doi.org/10.1109/SFCS.1992.267821",
doi = "10.1109/SFCS.1992.267821",
booktitle = focs33,
year = 1992,
pages = "30-39"}
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