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The aim of this paper is to develop an executable prototype ofan unconventional model ofcomputation. Using the PVS verification system (an interactive environment for writing formal specifications and checking formal proofs), we formalize the restricted model, based on DNA, due to L. Adleman. Also, we design a formal molecular program in this model that solves SAT following Lipton's ideas. We prove using PVS the soundness and completeness of this molecular program. This work is intended to give an approach to the opportunities offered by mechanized analysis of unconventional model of computation in general. This approach opens up new possibilities of verifying molecular experiments before implementing them in a laboratory.