Related papers: BPP is in NP and coNP
This paper has been withdrawn.
This paper was withdrawn by the authors.
There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.
This paper has been withdrawn by the author due to the paper does not belong to Condensed Matter field.
One way of suggesting that an NP problem may not be NP-complete is to show that it is in the class UP. We suggest an analogous new approach---weaker in strength of evidence but more broadly applicable---to suggesting that concrete~NP…
This paper has been withdrawn because the result turns out to be trivial.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.
This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.
This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.
The paper is withdrawn due to some errors.
This paper has been withdrawn due to a crucial theoretical error.
This paper has been withdrawn by the authors, due to a mistake which invalidates the analysis. One can never detect the presence of I=0 new physics in B -> pi pi.
This article has been withdrawn.
Withdrawn since -order- was overlooked. First order reductions without order are much too weak to separate.
This paper has been withdrawn by the author becouse the conjecture presented in this paper is false. The correct study of metrics in interpolation spaces for and applcation to nonharmonic Fourier series will be published in S.Petersburg…
The $P$ versus $NP$ problem is still unsolved. But there are several oracles with $P$ unequal $NP$ relative to them. Here we will prove, that $P\not=NP$ relative to a $P$-complete oracle. In this paper, we use padding arguments as the proof…
We present RSLR, an implicit higher-order characterization of the class PP of those problems which can be decided in probabilistic polynomial time with error probability smaller than 1/2. Analogously, a (less implicit) characterization of…
The paper has been withdrawn by the author.
We examine a parameterized complexity class for randomized computation where only the error bound and not the full runtime is allowed to depend more than polynomially on the parameter, based on a proposal by Kwisthout in [15,16]. We prove…