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arXiv · 0809.4935

On the existence of polynomial-time algorithms to the subset sum problem

Jorma Jormakka
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Abstract

This paper proves that there does not exist a polynomial-time algorithm to the the subset sum problem. As this problem is in NP, the result implies that the class P of problems admitting polynomial-time algorithms does not equal the class NP of problems admitting nondeterministic polynomial-time algorithms.

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Jorma Jormakka. 2008-09-29. On the existence of polynomial-time algorithms to the subset sum problem. https://arxiv.org/abs/0809.4935

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