Abstract
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\begin{document}$\mathcal{C}$\end{document} be an n-dimensional integral box, and π be a monotone property defined over the elements of \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{C}$\end{document}. We consider the problems of incrementally generating jointly the families \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{F}_{\pi}$\end{document} and \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{G}_{\pi}$\end{document} of all minimal subsets satisfying property π and all maximal subsets not satisfying property π, when π is given by a polynomial-time satisfiability oracle. Problems of this type arise in many practical applications. It is known that the above joint generation problem can be solved in incremental quasi-polynomial time. In this paper, we present an efficient implementation of this procedure. We present experimental results to evaluate our implementation for a number of interesting monotone properties π.