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arXiv · 0802.3839

Quadratic equations over free groups are NP-complete

O. Kharlampovich·I. G. Lysenok·A. G Myasnikov·N. W. M. Touikan
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Abstract

We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP-complete.

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O. Kharlampovich, I. G. Lysenok, A. G Myasnikov, N. W. M. Touikan. 2008-02-26. Quadratic equations over free groups are NP-complete. https://doi.org/10.1007/s00224-008-9153-7

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