arXiv:2606.04877v1 Announce Type: cross Abstract: 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.
The increasing complexity of AI systems and formal verification tasks necessitates more automated and efficient proof assistance tools.
Improved automation in proof assistants lowers the barrier to entry for formal verification, enhancing reliability and security for complex software and hardware.
Formal verification processes could become significantly faster and less resource-intensive, enabling broader application across various domains.
- · Software developers
- · Hardware developers
- · Cybersecurity industry
- · Logics and AI researchers
- · Manual proof assistants
- · Bug-prone legacy systems
Reduced errors and vulnerabilities in critical systems due to enhanced verification capabilities.
Accelerated development cycles for highly reliable AI models and autonomous systems.
Potential for new standards and regulatory frameworks mandating higher levels of formal verification due to its increased accessibility and efficiency.
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Read at arXiv cs.AI