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Vampire-Hammer tool enhances Lean theorem prover with automated proof capabilities

A new tool called Vampire-Hammer has been developed to assist the Lean interactive theorem prover. This tool integrates with the Lean-auto framework to send goals and premises to the Vampire automated theorem prover. Vampire-Hammer is capable of reconstructing proofs verified by the Lean kernel and has demonstrated success in solving a significant number of Mathlib theorems that were previously unsolved by other tools within a 10-second time limit. AI

IMPACT Enhances automated reasoning capabilities in formal verification, potentially accelerating mathematical discovery and software verification.

RANK_REASON The item describes a new tool and its performance on a specific benchmark, fitting the research category. [lever_c_demoted from research: ic=1 ai=1.0]

Read on Hugging Face Daily Papers →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Vampire-Hammer tool enhances Lean theorem prover with automated proof capabilities

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  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    Hammering with Vampire in Lean

    We present Vampire-Hammer, a hammer for the Lean interactive theorem prover that discharges goals using the Vampire automated theorem prover and reconstructs proofs checked by the Lean kernel. Vampire-Hammer uses the Lean-auto framework to process goals and premises before dispat…