Abduction Prover in Isabelle/HOL

arXiv:2606.0487769.6
AI Analysis

For users of proof assistants like Isabelle/HOL, it addresses the bottleneck of limited proof automation, though the improvement is incremental.

The Abduction Prover improves proof automation in Isabelle/HOL by using abductive reasoning to generate proof scripts for challenging goals, reducing the cost of formal verification.

Proof assistants based on expressive logics suffer limited automation for proof search, raising the cost of formal verification based on proof assistants. We address this problem by introducing the Abduction Prover for Isabelle/HOL. Given a challenging proof goal, the Abduction Prover constructs a proof script for the goal by identifying useful conjectures using abductive reasoning.

Foundations

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