On-the-fly parallel model checking algorithm that is optimal for verification of weak LTL properties

One of the most important open problems of parallel LTL model checking is to design an on-the-fly scalable parallel algorithm with linear time complexity. Such an algorithm would provide the same optimality we have in sequential LTL model checking. In this paper we give a partial solution to the problem: we propose an algorithm that has the required properties for a very rich subset of LTL properties, namely those expressible by weak Büchi automata. In addition to the previous version of the paper (Barnat et al., 2009) , we demonstrate how our new algorithm can be efficiently combined with a particular parallel technique for Partial Order Reduction and report on additional experiments.