Related papers: BPP is in NP and coNP
This manuscript has been withdrawn by the author. Some of the material has been included in the manuscript 'Embedded Monopoles' at hep-th/0106254.
This paper was withdrawn by the authors.
This paper has been withdrawn by the author due to new results to be added.
This paper has been withdrawn since it was an inadvertant double submission. An updated version of the original submission can be found at quant-ph/0505131
This paper has been withdrawn by the author, because a better treatment is given in the author's Phd. thesis (Sections 3.4.6 and 4.4), now available on the arxiv.
This paper has been withdrawn by the authors, due a crucial error.
This paper has been withdrawn by the authors due to a mistake in the proof of the chief result. In particular Theorem 1.3 is correct, while Theorem 1.1 and Theorem 1.2 hold with \mu>0 and a suitable restriction on the exponent p. The proof…
We study the complexity classes P and NP through a semigroup fP ("polynomial-time functions"), consisting of all polynomially balanced polynomial-time computable partial functions. Then P is not equal to NP iff fP is a non-regular…
This paper is currently withdrawn and is being revised by the authors.
The proposition 1 is incomplete. In some of the examples D(a,b) may not obey the triangle inequality. The paper is withdrawn for further elaboration.
We withdraw our paper as the factorizability of the correlation functions is unproven.
The paper has been withdrawn.
This paper has been withdrawn by the author, because it is now part of an enlarged version entitled "Time functions as utilities" arXiv:0909.0890
The paper has been withdrawn
This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.
This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.
This paper has been withdrawn by the authors due to an error in Section 7.
This paper has been withdrawn by the author due to the presented idea is wrong.
This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.
This paper has been withdrawn by the author.