Induction and Skolemization in saturation theorem proving
Stefan Hetzl, Jannik Vierling · Annals of Pure and Applied Logic · 2022
We consider a typical integration of induction in saturation-based theorem provers and investigate the effects of Skolem symbols occurring in the induction formulas. In a practically relevant setting we establish a Skolem-free characterization of refutation in saturation-based proof systems with induction. Finally, we use this characterization to obtain unprovability results for a concrete saturation-based induction prover.