@Clement C. My personal assessment is that the paper is very well written, goes directly to the point, explains very well previous techniques (namely, Berg approximators for monotone circuits), and explains very clearly his approach to deal with negations. Additionally, the paper is well written enough so that any body familiar with berg approximators would be able to decide if it is correct by dedicating no more than a week of careful reading. Writing an answer pointing the potential flaw would save a lot of time from a lot of people. That's what I mean with the number of views.