A new method for finding vacua in string phenomenology

One of the central problems of string-phenomenology is to find stablevacua in the four dimensional effective theories which result from compactification. We present analgorithmic method to find all of the vacua of any given string-phenomenological system in a huge class. Inparticular, this paper reviews and then extends hep-th/0606122 to include various non-perturbative effects. These include gaugino condensation and instantonic contributions to the superpotential.