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[2212.11151] Template-Based Conjecturing for Automated Induction in Isabelle/HOL
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arXiv:2212.11151 (cs)
[Submitted on 20 Nov 2022 (v1), last revised 19 Jan 2023 (this version, v2)]

Title:Template-Based Conjecturing for Automated Induction in Isabelle/HOL

Authors:Yutaka Nagashima, Zijin Xu, Ningli Wang, Daniel Sebastian Goc, James Bang
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Abstract:Proof by induction plays a central role in formal verification. However, its automation remains as a formidable challenge in Computer Science. To solve inductive problems, human engineers often have to provide auxiliary lemmas manually. We automate this laborious process with template-based conjecturing, a novel approach to generate auxiliary lemmas and use them to prove final goals. Our evaluation shows that our working prototype, TBC, achieved 40 percentage point improvement of success rates for problems at intermediate difficulty level.
Comments: To appear at Fundamentals of Software engineering 2023 (this http URL)
Subjects: Logic in Computer Science (cs.LO)
Cite as: arXiv:2212.11151 [cs.LO]
  (or arXiv:2212.11151v2 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.2212.11151

Submission history

From: Yutaka Nagashima [view email]
[v1] Sun, 20 Nov 2022 22:39:47 UTC (206 KB)
[v2] Thu, 19 Jan 2023 23:12:41 UTC (205 KB)
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