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JCSS
1998
74views more  JCSS 1998»
13 years 5 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
KGC
1997
Springer
13 years 9 months ago
Looking for an Analogue of Rice's Theorem in Circuit Complexity Theory
Rice’s Theorem says that every nontrivial semantic property of programs is undecidable. In this spirit we show the following: Every nontrivial absolute (gap, relative) counting p...
Bernd Borchert, Frank Stephan
CADE
2004
Springer
14 years 5 months ago
Automatic Generation of Classification Theorems for Finite Algebras
Abstract. Classifying finite algebraic structures has been a major motivation behind much research in pure mathematics. Automated techniques have aided in this process, but this ha...
Simon Colton, Andreas Meier, Volker Sorge, Roy L. ...
FSTTCS
1991
Springer
13 years 8 months ago
Randomizing Reductions of Search Problems
This paper closes a gap in the foundations of the theory of average case complexity. First, we clarify the notion of a feasible solution for a search problem and prove its robustne...
Andreas Blass, Yuri Gurevich
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 5 months ago
The detectability lemma and quantum gap amplification
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...