AbstractA new notion of an oracle machine being ‘helped’ by an oracle set is introduced. It is required that the oracle machine is ‘robust’, i.e., it always computes the same set independent of the oracle. The main result states that the class of sets that can be computed by deterministic polynomial time algorithms being helped by some oracle set is exactly NP ∩ co-NP. Some connections to probabilistic classes are also investigated
As soon as Bennett and Gill first demonstrated that, relative to a randomly chosen oracle, P is not ...
The present work investigates Gold style algorithmic learning from inputoutput examples whereby the...
We consider the uniform model of computation over any structure with two constants. For several stru...
AbstractA new notion of an oracle machine being ‘helped’ by an oracle set is introduced. It is requi...
We revisit robust machines and helping oracles introduced by Uwe Schöning [23] three decades ago. A ...
AbstractA robust machine is a machine that maintains some computational property for every oracle. I...
AbstractReducibility defined by oracle strong nondeterministic machines is studied. Two definitions ...
AbstractWe consider several questions on the computational power of PP, the class of sets accepted b...
AbstractWe consider the relation between the relativized polynomial time hierarchy and relativizatio...
We prove that the class NP has Co-NP-immune sets and the class Co-NP has NP-immune sets relative to ...
Reducibility defined by oracle strong nondeterministic machines is studied. Two definitions of relat...
AbstractThe concept of helping by robust oracle Turing machines, introduced recently by Schöning, is...
Theoretical computer scientists have been debating the role of oracles since the 1970's. This p...
In the present paper we prove that relative to random oracle A (with respect to the uniform measure)...
The Random Oracle Hypothesis, attributed to Bennett and Gill, essentially states that the relationsh...
As soon as Bennett and Gill first demonstrated that, relative to a randomly chosen oracle, P is not ...
The present work investigates Gold style algorithmic learning from inputoutput examples whereby the...
We consider the uniform model of computation over any structure with two constants. For several stru...
AbstractA new notion of an oracle machine being ‘helped’ by an oracle set is introduced. It is requi...
We revisit robust machines and helping oracles introduced by Uwe Schöning [23] three decades ago. A ...
AbstractA robust machine is a machine that maintains some computational property for every oracle. I...
AbstractReducibility defined by oracle strong nondeterministic machines is studied. Two definitions ...
AbstractWe consider several questions on the computational power of PP, the class of sets accepted b...
AbstractWe consider the relation between the relativized polynomial time hierarchy and relativizatio...
We prove that the class NP has Co-NP-immune sets and the class Co-NP has NP-immune sets relative to ...
Reducibility defined by oracle strong nondeterministic machines is studied. Two definitions of relat...
AbstractThe concept of helping by robust oracle Turing machines, introduced recently by Schöning, is...
Theoretical computer scientists have been debating the role of oracles since the 1970's. This p...
In the present paper we prove that relative to random oracle A (with respect to the uniform measure)...
The Random Oracle Hypothesis, attributed to Bennett and Gill, essentially states that the relationsh...
As soon as Bennett and Gill first demonstrated that, relative to a randomly chosen oracle, P is not ...
The present work investigates Gold style algorithmic learning from inputoutput examples whereby the...
We consider the uniform model of computation over any structure with two constants. For several stru...