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Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

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Reports tagged with nonuniform complexity:
TR96-027 | 20th February 1996
Lane A. Hemaspaandra, Ashish Naik, Mitsunori Ogihara, Alan L. Selman

Computing Solutions Uniquely Collapses the Polynomial Hierarchy

Is there an NP function that, when given a satisfiable formula
as input, outputs one satisfying assignment uniquely? That is, can a
nondeterministic function cull just one satisfying assignment from a
possibly exponentially large collection of assignments? We show that if
there is such a nondeterministic function, then the polynomial ... more >>>

TR18-011 | 18th January 2018
John Hitchcock, Hadi Shafei

Nonuniform Reductions and NP-Completeness

Nonuniformity is a central concept in computational complexity with powerful connections to circuit complexity and randomness. Nonuniform reductions have been used to study the isomorphism conjecture for NP and completeness for larger complexity classes. We study the power of nonuniform reductions for NP-completeness, obtaining both separations and upper bounds for ... more >>>

ISSN 1433-8092 | Imprint