One difficulty that arises in abstract argument systems is that many natural questions regarding argument acceptability are, in general, computationally intractable having been c...
Random Noise and Random Walk algorithms are local search strategies that have been used for the problem of satisfiability testing (SAT). We present a Markov-chain based analysis o...
Bhaskar Krishnamachari, Xi Xie, Bart Selman, Steph...
We study the complexity of randomized solution of initial value problems for systems of ordinary differential equations (ODE). The input data are assumed to be -smooth ( = r+ : th...
The classical zero-one law for first-order logic on random graphs says that for every first-order property in the theory of graphs and every p (0, 1), the probability that the r...
We introduce a new set of probabilistic analysis tools based on the analysis of And-Or trees with random inputs. These tools provide a unifying, intuitive, and powerful framework ...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...