We define probabilistic martingales based on randomized approximation schemes, and show that the resulting notion of probabilistic measure has several desirable robustness propert...
Testing is among the most effective tools available for finding bugs. Still, we know of no automatic technique for generating test cases that expose bugs involving a combination ...
We give the first black-box reduction from arbitrary approximation algorithms to truthful approximation mechanisms for a non-trivial class of multiparameter problems. Specifically,...
We investigate notions of randomness in the space C[2N ] of nonempty closed subsets of {0, 1}N . A probability measure is given and a version of the Martin-L¨of test for randomne...
George Barmpalias, Paul Brodhead, Douglas Cenzer, ...