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Formal verification of Romanov's Triplet Logic achieved in Rocq proof assistant

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Researchers have formally verified Romanov's Triplet Logic (TLS) using the Rocq proof assistant, marking the first mechanized formalization of this combinatorial framework. The work details the formalization of core TLS components like Compact Triplets Structures (CTS) and Simple Vertex Intersection (SVI), along with a verified translation for the sliding-window fragment of 3-CNF formulas. An OCaml prototype named VFR was extracted, offering a verified decision procedure for this fragment and a sound filter for general 3-CNF, packaged with Python and Docker for reproducibility. AI

IMPACT Formal verification of logic systems can improve the reliability and safety of AI algorithms.

RANK_REASON Academic paper detailing formal verification of a logic system. [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 →

Formal verification of Romanov's Triplet Logic achieved in Rocq proof assistant

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Academic paper detailing formal verification of a logic system. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Dmitry V. Alexandrov ·

    Formal Verification of Romanov's Triplet Logic: A Verified Filter for Sliding-window 3-CNF with Application to Structured Formulas

    arXiv:2608.18445v1 Announce Type: cross Abstract: We present the first mechanised formalisation of Romanov's Triplet Logic (TLS) in the Rocq proof assistant. TLS is a triplet-based combinatorial framework for reasoning about compatible paths through layered triplet structures, ca…

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