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The matrix model formulation of two dimensional string theory has been shownto admit time dependent classical solutions whose closed string duals aregeodesically incomplete space-times with space-like boundaries. We investigatesome aspects of the dynamics of fermions in one such background. We show thateven though the background solution appears pathological, the time evolution ofthe system is smooth in terms of open string degrees of freedom, viz. thefermions. In particular, an initial state of fermions evolves smoothly into awell defined final state over an infinite open string time interval, while thetime perceived by closed strings appears to end abruptly. We outline a methodof calculating fermion correlators exactly using symmetry properties. Theresult for the two point function is consistent with the semiclassical picture.Comment: LaTeX 8 eps figures, referenced adde

Open string descriptions of spacelike singularities in two dimensional string theory