The Solvability Problem for Quadratic Equations over Free Groups is NP-Complete
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- Kharlampovich, O., Lysënok, I.G., Myasnikov, A.G. et al. Theory Comput Syst (2010) 47: 250. doi:10.1007/s00224-008-9153-7
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We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP-complete.