Function problems for Quantified Boolean Formulas

The practical use of Quantified Boolean Formulas (QBFs) often calls for more than solving the evaluation problem QBF. For this reason we investigate the corresponding function problem FQBF. We define expected outputs of FQBF instances as solution policies. We focus on the representation of policies, considering QBFs of the form ∀X ∃Y Φ. Because the explicit representation of policies for such QBFs can be of exponential size, descriptions as compact as possible must be looked for. To address this issue, two approaches based on the decomposition and the compilation of Φ are presented.