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arXiv · 2402.19199

Rewriting and Inductive Reasoning

Márton Hajdu·Laura Kovács·Michael Rawson
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Abstract

Rewriting techniques based on reduction orderings generate "just enough" consequences to retain first-order completeness. This is ideal for superposition-based first-order theorem proving, but for at least one approach to inductive reasoning we show that we are missing crucial consequences. We therefore extend the superposition calculus with rewriting-based techniques to generate sufficient consequences for automating induction in saturation. When applying our work within the unit-equational fragment, our experiments with the theorem prover Vampire show significant improvements for inductive reasoning.

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Márton Hajdu, Laura Kovács, Michael Rawson. 2024-02-29. Rewriting and Inductive Reasoning. https://arxiv.org/abs/2402.19199

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