Cesare Tinelli's Publications
Amit Goel, Sava Krstić and Cesare Tinelli. Ground Interpolation for Combined Theories. In Proceedings of the 22nd International Conference on Automated Deduction (CADE-22), Montreal, Canada, 2009.
Abstract. We give a method for modular generation of ground interpolants in modern SMT solvers supporting multiple theories. Our method uses a novel algorithm to modify the proof tree obtained from an unsatifiability run of the solver into a proof tree without occurrences of troublesome "uncolorable" literals. An interpolant can then be readily generated using existing procedures. The principal advantage of our method is that it places few restrictions (none for convex theories) on the search strategy of the solver. Consequently, it is straightforward to implement and enables more efficient interpolating SMT solvers. In the presence of non-convex theories our method is incomplete, but still more general than previous methods.