This paper presents the foundations for using automated deduction technology in static program analysis. The central principle is the use of logical lattices – a class of lattices defined on logical formulas in a logical theory – in an abstract interpretation framework. Abstract interpretation over logical lattices, called logical interpretation, raises new challenges for theorem proving. We pr...

In this article we present a notion of “logical perfection”. We first describe through examples logical perfection extracted from the contemporary concept categoricity. Categoricity (in power) has become in past half century main driver ideas model theory, both mathematically (stability theory may be regarded as way approximating categoricity) and philosophically. two decades, categoricity noti...