
the random oracle hypothesis, attributed to bennett and gill, essentially statesthat the relationships between complexity classes which...relativizedworlds must also hold in the unrelativized case. although this paper is notthe first to provide a counterexample to the random oracle hypothesis, it doesprovide a most compelling...

...not known to follow from the weaker assertion p 6= np. it is shown in this paper that relative to a random oracle, np does not have pmeasure zero. the proof exploits the following independence property of algorithmically random sequences: if a is an algorithmically random sequence and a subsequence a0...

...on how to apply statistical hypothesis tests in order to test randomized software systems. we exactly determine the confidence gained through these tests...conducted in order to assess the proposed approach. one of the case studies is based on a software system for the simulation of stochastic geometric models...

...within our chosen asymptotic framework, the ratio of its bayes risk and that of the bayes oracle (a rule which minimizes the bayes risk) converges to one...far as we know, this is the first proof of the decision theoretic asymptotic optimality of the benjaminihochberg rule in the context of hypothesis testing....
Published in 2010.

...in some circumstances, random testing methods are more practical than any alternative, because information is lacking to make reasonable systematic...examines some situations in which random testing is indicated and discusses issues and difficulties with conducting the random tests....

...systems by taking advantage of the layered structure of software. we use a randomwalk approach, mimicking the more focused behav ior of...s work(10), we approximate the steadystate of an infi nite random walk on a subset of a callgraph in order to rank the functions by their steadystate...

...how to weigh the benjaminihochberg procedure? in the context of multiple hypothesis testing, we propose a new stepwise procedure that controls the false discovery rate (fdr) and we...

Unknown
...do not hold for every oracle, at least in the most obvious way of relativizing the results. in the early 1990's, a sequence...local checkability implies all of the new nonrelativizing results. the axiom is intended to capture the fact that, if someone provides...

...presence of noise, assuming that the label of each example is reversedwith a fixed probability. we review the polynomial pac learnability ofnonrecursive, determinate, constantdepth horn clauses in the presenceof such noise. this result is extended to an analogous class...
