The following Quantified Boolean Formulas (QBFs) encode the problem of computing the sequential depth (diameter) for some of the ISCAS89 circuits. The formulation follows the description in the paper : M. Mneimneh, and K. Sakallah, "Computing Vertex Eccentricity in Exponentially Large Graphs: QBF Formulation and Solution," Sixth International Conference on Theory and Applications of Satisfiability Testing, 2003.
Each file name has the following format [circuit_name]_d[n]_[s/u].qcnf where
The QBF instance for a given file name answers the question: Does [circuit_name] has a new state at depth [n]? If the answer is YES, the instance is satisfiable. Othewise, it is unsatisfiable.
(Questions/Comments/Corrections, email maherm @ umich.edu)