On Membership Comparable Sets

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On Membership Comparable Sets

A set A is k(n) membership comparable if there is a polynomial time computable function that, given k(n) instances of A of length at most n, excludes one of the 2 k(n) possibilities for the memberships of the given strings in A. We show that if SAT is O(log n) membership comparable, then UniqueSAT 2 P. This extends the and answers in the aarmative an open question suggested by Buhrman, Fortnow,...

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A Note on the Power of Extra Queries to Membership Comparable Sets

A language is called k-membership comparable if there exists a polynomial-time algorithm that excludes for any k words one of the 2 possibilities for their characteristic string. It is known that all membership comparable languages can be reduced to some P-selective language with polynomially many adaptive queries. We show however that for all k there exists a (k + 1)-membership comparable set ...

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ژورنال

عنوان ژورنال: Journal of Computer and System Sciences

سال: 1999

ISSN: 0022-0000

DOI: 10.1006/jcss.1999.1653