Abduction Prover in Isabelle/HOL

2026-06-04 · Source: cs.SE updates on arXiv.org · Field: Technology & Digital — Artificial Intelligence & Machine Learning, Software Development & Engineering, Mathematics & Computational Sciences · Depth: Expert, quick

Summary

The Abduction Prover for Isabelle/HOL is a novel tool introduced to significantly improve automation in proof search for proof assistants that rely on expressive logics. This development directly tackles the challenge of high costs associated with formal verification, a problem exacerbated by the traditionally limited automation in these sophisticated systems. Submitted on June 3, 2026, and accepted to Isabelle2026, the Abduction Prover functions by generating proof scripts for complex goals. It achieves this efficiency by identifying and proposing useful conjectures through the application of abductive reasoning, thereby reducing the extensive manual effort typically demanded by intricate formal proofs within the Isabelle/HOL environment.

Key takeaway

For research scientists engaged in formal verification using proof assistants like Isabelle/HOL, this Abduction Prover offers a significant opportunity to reduce manual effort. You should investigate integrating this tool to automate the identification of conjectures for challenging proof goals. This can streamline your verification workflows, potentially accelerating project timelines and lowering the overall cost of formalizing complex systems.

Key insights

Abductive reasoning enhances proof automation in expressive logic-based proof assistants.

Principles

• Expressive logics limit automation.
• Abduction identifies useful conjectures.
• Automation reduces formal verification cost.

Method

The Abduction Prover constructs proof scripts for challenging goals by identifying useful conjectures using abductive reasoning.

In practice

• Automate complex Isabelle/HOL proofs.
• Reduce manual verification effort.

Topics

• Abductive Reasoning
• Proof Automation
• Isabelle/HOL
• Formal Verification
• Logic in Computer Science
• Proof Assistants

Best for: AI Scientist, Research Scientist

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Editorial summary, takeaway, and curation by AIssential. Original article published by cs.SE updates on arXiv.org.