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LLM assists in formal proof of sqrt(2) irrationality

By PulseAugur Editorial · [1 sources] ·

Researchers have explored the use of a Large Language Model (LLM) in conjunction with a Logic Program Theorem Prover (LPTP) to formally prove the irrationality of the square root of 2. The process involved defining basic logic programming predicates and utilizing LPTP, which employs natural deduction for human-readable proofs. The study details the interactions with the LLM, culminating in a complete formal proof that was partially generated by the LLM and fully verified by LPTP. AI

IMPACT Demonstrates potential for LLMs to assist in formal verification and mathematical proofs.

RANK_REASON Academic paper detailing a novel application of LLMs in formal theorem proving. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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

LLM assists in formal proof of sqrt(2) irrationality

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Academic paper detailing a novel application of LLMs in formal theorem proving. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Fred Mesnard, \'Etienne Payet, Wim Vanhoof ·

    Case study: proving sqrt(2) irrational with LPTP and an LLM

    arXiv:2607.21187v1 Announce Type: cross Abstract: We present the interactions with an LLM (Large Language Model) aiming at proving that the square root of 2 is not a rational number in an LP (Logic Programming) context. We start from a few basic pure logic programming predicate d…

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