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arXiv · 1704.01930

Some observations on the logical foundations of inductive theorem proving

Stefan Hetzl·Tin Lok Wong
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Abstract

In this paper we study the logical foundations of automated inductive theorem proving. To that aim we first develop a theoretical model that is centered around the difficulty of finding induction axioms which are sufficient for proving a goal. Based on this model, we then analyze the following aspects: the choice of a proof shape, the choice of an induction rule and the language of the induction formula. In particular, using model-theoretic techniques, we clarify the relationship between notions of inductiveness that have been considered in the literature on automated inductive theorem proving. This is a corrected version of the paper arXiv:1704.01930v5 published originally on Nov.~16, 2017.

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Stefan Hetzl, Tin Lok Wong. 2018-04-12. Some observations on the logical foundations of inductive theorem proving. https://doi.org/10.23638/lmcs-13(4%3A10)2017

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