Klaus Truemper
Title:
An algorithm for Q-ALL SAT with learning via heuristics

Abstract:
Problem Q-ALL SAT is an important logic problem at the second level of the polynomial hierarchy. It is a particular case of the quantified Boolean formulas (QBFs). We describe a solution tree-search algorithm that learns via heuristics. The scheme is substantially faster than the fastest competing QBF schemes. The main message of the talk is that (1) it pays to construct algorithms for specially structured problem classes (nothing new her for combinatorics), and (2) learning and heuristics can make a terrific contribution in exact combinatorial algorithms.