Subsystems of Open Induction

Stefan Hetzl; Johannes Weiser

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arXiv · 2509.05653

Subsystems of Open Induction

Stefan Hetzl·Johannes Weiser

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Abstract

We study subsystems of open induction which are strongly connected to methods of automated inductive theorem proving. Specifically, we consider systems obtained from restricting induction to atoms, literals, clauses, and dual clauses. We obtain a complete picture of the relationships between these systems in the language of arithmetic and its sublanguages in terms of inclusion and strict inclusion.

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Stefan Hetzl, Johannes Weiser. 2025-09-06. Subsystems of Open Induction. https://arxiv.org/abs/2509.05653

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