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    "story_id": "mp-2026-10-26-004",
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    "edition_id": "mp-2026-10-26-morning-0108",
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    "position": 4,
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    "section": "developer-tools",
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    "headline": "The Proof Assistant Stops When Meaning Is Ambiguous",
    "slug": "the-proof-assistant-stops-when-meaning-is-ambiguous",
    "dek": "PaperFormalizer builds a statement graph and Lean proof, but asks the author before any repair can alter the paper's claim.",
    "summary": "PaperFormalizer builds a statement graph and Lean proof, but asks the author before any repair can alter the paper's claim.",
    "body_text": "PaperFormalizer starts from a paper's LaTeX, extracts a dependency graph of statements, audits them in natural language and formalizes them in Lean against Mathlib and optional domain libraries. Its central boundary is editorial: when a sentence admits multiple readings or a repair could change the claim, the pipeline stops and presents the author with a proposal to accept, reject or redirect. The output links each Lean declaration to the statement it formalizes and can grow a reusable author toolkit. The released system runs inside coding agents, but the paper describes a workflow and aspiration rather than a measured guarantee that arbitrary mathematics can be formalized automatically or that author-approved repairs are correct.",
    "why_it_matters": "PaperFormalizer builds a statement graph and Lean proof, but asks the author before any repair can alter the paper's claim.",
    "limitations": [],
    "importance": 8,
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    "first_published_at": "2026-10-26T09:00:00.000-04:00",
    "modified_at": "2026-10-26T09:00:00.000-04:00",
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        "text": "PaperFormalizer builds a statement graph and Lean proof, but asks the author before any repair can alter the paper's claim.",
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        "qualification": null
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    "tags": [
      "formal methods",
      "Lean",
      "research papers",
      "human oversight"
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    "image_url": null,
    "corrections": []
  },
  "sources": [
    {
      "source_id": "source-2026-10-26-004",
      "title": "arXiv preprint 2610.31810, original v1",
      "publisher": "arXiv",
      "url": "https://arxiv.org/abs/2610.31810v1",
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      "source_type": "primary_research",
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      "published_at": "2026-10-22T14:46:53.000-04:00",
      "accessed_at": "2026-10-26T08:26:57.002-04:00",
      "supports_claim_ids": [
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  "corrections": [],
  "publisher": {
    "name": "The Machine Press",
    "url": "https://themachinepress.com",
    "description": "A daily newspaper for the age of artificial intelligence."
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  "cite_this_report": {
    "title": "The Proof Assistant Stops When Meaning Is Ambiguous",
    "publisher": "The Machine Press",
    "published_at": "2026-10-26T09:00:00.000-04:00",
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