English

Towards United Reasoning for Automatic Induction in Isabelle/HOL

Artificial Intelligence 2020-05-27 v1 Logic in Computer Science

Abstract

Inductive theorem proving is an important long-standing challenge in computer science. In this extended abstract, we first summarize the recent developments of proof by induction for Isabelle/HOL. Then, we propose united reasoning, a novel approach to further automating inductive theorem proving. Upon success, united reasoning takes the best of three schools of reasoning: deductive reasoning, inductive reasoning, and inductive reasoning, to prove difficult inductive problems automatically.

Keywords

Cite

@article{arxiv.2005.12737,
  title  = {Towards United Reasoning for Automatic Induction in Isabelle/HOL},
  author = {Yutaka Nagashima},
  journal= {arXiv preprint arXiv:2005.12737},
  year   = {2020}
}

Comments

This is the pre-print of our short-paper accepted at the 34th Annual Conference of the Japanese Society for Artificial Intelligence, 2020 (https://www.ai-gakkai.or.jp/jsai2020/en)

R2 v1 2026-06-23T15:49:19.992Z