The Implementation and Proof of a Boolean Simplification System

We have implemented and proved a Boolean simplification system. Our algorithm is based on the weak division algorithm used in MIS; our implementation is in the programming language ML. We began with a proof of the algorithm presented previously and extended it to a level of detail sufficient for proving the implementation of the system. In the process of developing the proof we clarified many definitions presented in previous accounts of the algorithm, and discovered several errors in our implementation. The result is that the designs generated by our implementation can be claimed to be correct by construction, since we have proved the correctness of our system.

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