2014arXiv (Cornell University)Open access

NL is not equal to NP and NP is not equal to EXPTIME

Valerii Sopin

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Abstract

This paper has been withdrawn by the author due to a crucial sign error in Corollary 1. There exists mistake in Corollary 7, 11. We show that NL is not equal to NP and NP is not equal to EXPTIME. In addition, P = NP if and only if P = PSPACE. And BPP = P implies NP = PSPACE, NP = PH, NP = co-NP.

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What this paper is about

This paper has been withdrawn by the author due to a crucial sign error in Corollary 1. There exists mistake in Corollary 7, 11. We show that NL is not equal to NP and NP is not equal to EXPTIME. In addition, P = NP if and only if P = PSPACE. And BPP = P implies NP = PSPACE, NP = PH, NP = co-NP.

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Available abstract

This paper has been withdrawn by the author due to a crucial sign error in Corollary 1. There exists mistake in Corollary 7, 11. We show that NL is not equal to NP and NP is not equal to EXPTIME. In addition, P = NP if and only if P = PSPACE. And BPP = P implies NP = PSPACE, NP = PH, NP = co-NP.

Key concepts: Corollary, EXPTIME, PSPACE, Mistake, Sign (mathematics), Combinatorics, Mathematics, P versus NP problem

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