Craig Interpolation for the Integers: Results, Implementation, and Experiences

Craig interpolation is a versatile tool in formal verification, in particular for generating intermediate assertions in safety analysis and model checking. Over the last years, a variety of interpolation procedures for linear integer arithmetic (and extensions) have been developed. I will give an overview of the existing algorithms and design choices, and then discuss implementations of such procedures within theorem provers and SMT solvers. In particular, I will describe an implementation done using the multi-paradigm language Scala, which is built on top of the Java runtime infrastructure, and evaluate performance and engineering aspects. K. Korovin, S. Schulz, E. Ternovska (eds.), IWIL 2012 (EPiC Series, vol. 22), pp. 3–3 3