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CSL
1990
Springer
13 years 11 months ago
On the Reduction Theory for Average Case Complexity
This is an attempt to simplify and justify the notions of deterministicand randomized reductions, an attempt to derive these notions from (more or less) rst principles.
Andreas Blass, Yuri Gurevich
STOC
1989
ACM
117views Algorithms» more  STOC 1989»
13 years 11 months ago
On the Theory of Average Case Complexity
This paper takes the next step in developing the theory of average case complexity initiated by Leonid A Levin. Previous works Levin 84, Gurevich 87, Venkatesan and Levin 88] have...
Shai Ben-David, Benny Chor, Oded Goldreich, Michae...
FSTTCS
1992
Springer
13 years 11 months ago
Structural Average Case Complexity
Levin introduced an average-case complexity measure, based on a notion of \polynomialon average," and de ned \average-case polynomial-time many-one reducibility" amongra...
Rainer Schuler, Tomoyuki Yamakami
FSTTCS
1991
Springer
13 years 11 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