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This conjecture was first proved by [[Doron Zeilberger]] in 1992. In 1995, [[Greg Kuperberg]] gave a short proof based on the [[Yang-Baxter equation]] for the [[Ice-type model|six vertex model]] with ___domain wall boundary conditions, that uses a [http://www.mendeley.com/c/29813067/Izergin-1992-Determinant-formula-for-the-six-vertex-model/ determinant] due to Anatoli Izergin, which solves [http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.cmp/1103921777 recurrence relations] due to [[Vladimir Korepin]].
==Razumov–Stroganov conjecture==
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