Ladner [18] showed that there are no minimal recursive sets under polynomial-time reductions. Given any recursive set A, Ladner constructs a set B such that B strictly reduces to ...
We show that the perfect matching problem is in the complexity class SPL in the nonuniform setting. This provides a better upper bound on the complexity of the matching problem, a...
We define probabilistic martingales based on randomized approximation schemes, and show that the resulting notion of probabilistic measure has several desirable robustness propert...
This paper details a technique, called inter-block backtracking (IBB), which improves interval solving of decomposed systems with non-linear equations over the reals. This techniqu...
Kolmogorov’s very first paper on algorithmic information theory (Kolmogorov, Problemy peredachi infotmatsii 1(1) (1965), 3) was entitled “Three approaches to the definition ...
Andrei E. Romashchenko, Alexander Shen, Nikolai K....