Unprovability results for clause set cycles

Stefan Hetzl; Jannik Vierling

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arXiv · 2110.03246

Unprovability results for clause set cycles

Stefan Hetzl·Jannik Vierling

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Abstract

The notion of clause set cycle abstracts a family of methods for automated inductive theorem proving based on the detection of cyclic dependencies between clause sets. By discerning the underlying logical features of clause set cycles, we are able to characterize clause set cycles by a logical theory. We make use of this characterization to provide practically relevant unprovability results for clause set cycles that exploit different logical features.

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Stefan Hetzl, Jannik Vierling. 2021-10-07. Unprovability results for clause set cycles. https://arxiv.org/abs/2110.03246

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