Induction and Skolemization in saturation theorem proving

Stefan Hetzl; Jannik Vierling

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arXiv · 2105.07734

Induction and Skolemization in saturation theorem proving

Stefan Hetzl·Jannik Vierling

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Abstract

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.

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Stefan Hetzl, Jannik Vierling. 2021-05-17. Induction and Skolemization in saturation theorem proving. https://arxiv.org/abs/2105.07734

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