Localization reduction is an abstraction-refinement scheme for model checking which was introduced by Kurshan [12] as a means for tackling state explosion. It is completely automatic, but despite the work that has been done related to
this scheme, it still suffers from computational complexity. In this paper we present algorithmic improvements to localization
reduction that enabled us to overcome some of these problems. Namely, we present a new symbolic algorithm for path reconstruction
including incremental refinement and backtracking. We have implemented these improvements and compared them to previous work
on a large number of our industrial examples. In some cases the improvement was dramatic. Using these improvements we were
able to verify circuits that we were not previously able to address.