We provide a complete picture of the extent to which amplification of success probability is possible for randomized algorithms having access to one NP oracle query, in the settings of two-sided, one-sided, and zero-sided error. We generalize this picture to amplifying one-query algorithms with q-query algorithms, and we show our inclusions are tight for relativizing techniques
It is shown that, for every k\u3e0 and every fixed algorithmically random language B, there is a lan...
AbstractReducibility defined by oracle strong nondeterministic machines is studied. Two definitions ...
Increasing the computational complexity of evaluating a hash function, both for the honest users as ...
We provide a complete picture of the extent to which amplification of success probability is possibl...
We provide a complete picture of the extent to which amplificationof success probability is possible...
AbstractIn this paper, we investigate the power of randomness to save a query to an NP-complete set....
AbstractA new notion of an oracle machine being ‘helped’ by an oracle set is introduced. It is requi...
In this paper, we provide tight bounds on the success probabilities of randomized reductions betwee...
The error probability of Probabilistically Checkable Proof (PCP) systems can be made exponentially s...
We study the complexity of problems solvable in deterministic polynomial time with access to an NP o...
AbstractWe consider how much error a fixed depth Boolean circuit must make in computing the parity f...
AbstractWe consider several questions on the computational power of PP, the class of sets accepted b...
Approximation algorithms have been studied to cope with computationally hard combinatorial problems ...
We prove that the P^NP-type query complexity (alternatively, decision list width) of any boolean fun...
We study pseudo-deterministic query complexity - randomized query algorithms that are required to ou...
It is shown that, for every k\u3e0 and every fixed algorithmically random language B, there is a lan...
AbstractReducibility defined by oracle strong nondeterministic machines is studied. Two definitions ...
Increasing the computational complexity of evaluating a hash function, both for the honest users as ...
We provide a complete picture of the extent to which amplification of success probability is possibl...
We provide a complete picture of the extent to which amplificationof success probability is possible...
AbstractIn this paper, we investigate the power of randomness to save a query to an NP-complete set....
AbstractA new notion of an oracle machine being ‘helped’ by an oracle set is introduced. It is requi...
In this paper, we provide tight bounds on the success probabilities of randomized reductions betwee...
The error probability of Probabilistically Checkable Proof (PCP) systems can be made exponentially s...
We study the complexity of problems solvable in deterministic polynomial time with access to an NP o...
AbstractWe consider how much error a fixed depth Boolean circuit must make in computing the parity f...
AbstractWe consider several questions on the computational power of PP, the class of sets accepted b...
Approximation algorithms have been studied to cope with computationally hard combinatorial problems ...
We prove that the P^NP-type query complexity (alternatively, decision list width) of any boolean fun...
We study pseudo-deterministic query complexity - randomized query algorithms that are required to ou...
It is shown that, for every k\u3e0 and every fixed algorithmically random language B, there is a lan...
AbstractReducibility defined by oracle strong nondeterministic machines is studied. Two definitions ...
Increasing the computational complexity of evaluating a hash function, both for the honest users as ...