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» Strong Reductions and Isomorphism of Complete Sets
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FSTTCS
2007
Springer
14 years 2 months ago
Strong Reductions and Isomorphism of Complete Sets
We study the structure of the polynomial-time complete sets for NP and PSPACE under strong nondeterministic polynomial-time reductions (SNP-reductions). We show the following resu...
Ryan C. Harkins, John M. Hitchcock, Aduri Pavan
JCSS
1998
74views more  JCSS 1998»
13 years 8 months ago
Reductions in Circuit Complexity: An Isomorphism Theorem and a Gap Theorem
We show that all sets that are complete for NP under non-uniform AC0 reductions are isomorphic under non-uniform AC0-computable isomorphisms. Furthermore, these sets remain NP-com...
Manindra Agrawal, Eric Allender, Steven Rudich
AML
2005
73views more  AML 2005»
13 years 8 months ago
Strong reducibility of partial numberings
A strong reducibility relation between partial numberings is introduced which is such that the reduction function transfers exactly the numbers which are indices under the numberin...
Dieter Spreen
JCSS
2011
107views more  JCSS 2011»
13 years 3 months ago
The isomorphism conjecture for constant depth reductions
For any class C closed under TC0 reductions, and for any measure u of uniformity containing Dlogtime, it is shown that all sets complete for C under u-uniform AC0 reductions are i...
Manindra Agrawal
IPL
2002
81views more  IPL 2002»
13 years 8 months ago
For completeness, sublogarithmic space is no space
It is shown that for any class C closed under linear-time reductions, the complete sets for C under sublogarithmic reductions are also complete under 2DFA reductions, and thus are...
Manindra Agrawal