Abstract
We show how Finite Model Computation (FMC) of first-order theories can efficiently and transparently be solved by taking advantage of an extension of Answer Set Programming, called incremental An-swer Set Programming (iASP). The idea is to use the incremental parameter in iASP programs to ac-count for the domain size of a model. The FMC problem is then successively addressed for increas-ing domain sizes until an answer set, representing a finite model of the original first-order theory, is found. We developed a system based on the iASP solver iClingo and demonstrate its competitiveness.