Toward a Generalization and a Reformulation of Goods in SAT - Preliminary Report

Djamal Habet, Philippe Jégou

Abstract: Learning useful information when solving SAT or CSP problems to speed up a tree-search approaches, is one of the main explored tracks in various works. Such information are known as goods and nogoods and they aim to forbid to repetitively visit the same parts of the search space. Unfortunately and unlike nogoods, the exploitation of goods is limited to tree-search approaches based on the structural properties of the problem. In this paper, we propose to generalize and reformulate structural goods under SAT. We also propose a learning scheme of general goods and show their integration in a DPLL-like procedure.