NDLI: On one query, self-reducible sets

Content Provider	IEEE Xplore Digital Library
Author	Ogiwara, M. Lozano, A.
Copyright Year	1991
Description	Author affiliation: Dept. of Comput. Sci. & Inf. Math., Univ. of Electro-Commun., Tokyo, Japan (Ogiwara, M.)
Abstract	The authors study one-word-decreasing self-reducible sets, which are the usual self-reducible sets with the peculiarity that the self-reducibility machine makes at most one query to a word lexicographically smaller than the input. It is first shown that for all counting classes defined by a predicate on the number of accepting paths there exist complete sets which are one-word-decreasing self-reducible. Using this fact it is proved that, for any class K chosen from a certain set of complexity classes, it holds that (1) if there is a sparse polynomial-time bounded-truth-table-hard set for K, then K=P, and (2) if there is a sparse strongly nondeterministic bounded-truth-table-hard set for K, then K contained in NP intersection co-NP. The main result also shows that the same facts hold for the class PSPACE.
Starting Page	139
Ending Page	151
File Size	890864
Page Count	13
File Format	PDF
ISBN	0818622555
DOI	10.1109/SCT.1991.160254
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1991-06-30
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Computational modeling Turing machines Marine vehicles Error probability
Content Type	Text
Resource Type	Article

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