%0 Journal Article %T Two-matrix model and c=1 string theory %A L. Bonora %A C. S. Xiong %J Physics %D 1994 %I arXiv %R 10.1016/0370-2693(95)00153-C %X We show that the most general two--matrix model with bilinear coupling underlies $c=1$ string theory. More precisely we prove that $W_{1+\infty}$ constraints, a subset of the correlation functions and the integrable hierarchy characterizing such two--matrix model, correspond exactly to the $W_{1+\infty}$ constraints, to the discrete tachyon correlation functions and to the integrable hierarchy of the $c=1$ string. %U http://arxiv.org/abs/hep-th/9405004v2