3 research outputs found
An Efficient Implementation of a Joint Generation Algorithm
Let \cC be an n-dimensional integral box, and be a monotone property defined over the elements of \cC. We consider the problems of incrementally generating jointly the families \cF_{\pi} and \cI(cF_{\pi}) of all minimal subsets satisfying property and all maximal subsets not satisfying property , when 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
An Efficient Implementation of a Joint Generation Algorithm
Let \cC be an n-dimensional integral box, and be a monotone property
defined over the elements of \cC. We consider the problems of incrementally
generating jointly the families \cF_{\pi} and \cI(cF_{\pi}) of all minimal
subsets satisfying property and all maximal subsets not satisfying
property , when 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