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New tool translates model counting certificates into Lean theorems

By PulseAugur Editorial · [1 sources] ·

Researchers have developed a tool called count-catcher that translates certificates from the exact model counter d4 into Lean theorems. These theorems assert that a given CNF formula, defined within Lean, has a specific number of models over a set of variables. The process involves verifying a Boolean circuit equivalent to the formula and its proof of equivalence. This system integrates with Lean's standard library and existing mathematical results, enabling the certification of complex combinatorial counts, such as the number of Latin squares of order 8. AI

IMPACT Formal verification of AI model outputs could improve trust and reliability in AI-generated proofs and computations.

RANK_REASON The cluster describes a new tool and methodology for generating formal mathematical theorems from computational results, published on arXiv. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.AI →

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

New tool translates model counting certificates into Lean theorems

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The cluster describes a new tool and methodology for generating formal mathematical theorems from computational results, published on arXiv. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Johannes K. Fichte, Stefan Szeider ·

    count-catcher: Lean Theorems from Model Counting Certificates

    arXiv:2610.36196v1 Announce Type: cross Abstract: We present count-catcher, a tool that turns a CPOG certificate of a count by the exact model counter d4 into a Lean theorem that a CNF formula defined in Lean has exactly N models over V variables. With an encoding lemma, this the…

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