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@ -25,7 +25,7 @@ Anthropic's RSP rollback demonstrates the opposite pattern in practice: the comp
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### Additional Evidence (extend)
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*Source: [[2026-02-00-yamamoto-full-formal-arrow-impossibility]] | Added: 2026-03-12 | Extractor: anthropic/claude-sonnet-4.5*
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Arrow's impossibility theorem now has a full formal representation using proof calculus in formal logic (Yamamoto, PLOS One, February 2026). This provides machine-checkable verification of the theorem's validity, strengthening the mathematical foundation underlying claims that universal alignment is impossible. The formal proof reveals the global structure of the social welfare function central to the theorem through meticulous derivation, complementing existing computer-aided proofs (AAAI 2008) and simplified proofs via Condorcet's paradox.
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Arrow's impossibility theorem now has a full formal representation using proof calculus in formal logic (Yamamoto, PLOS One, February 2026). This provides machine-checkable verification of the theorem's validity, strengthening the mathematical foundation for claims that universal alignment faces fundamental impossibility constraints. The formal proof complements existing computer-aided proofs (AAAI 2008) and simplified proofs via Condorcet's paradox, offering a complete logical representation that can be mechanically verified.
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@ -14,7 +14,7 @@ processed_by: theseus
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processed_date: 2026-03-11
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enrichments_applied: ["safe AI development requires building alignment mechanisms before scaling capability.md"]
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extraction_model: "anthropic/claude-sonnet-4.5"
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extraction_notes: "Pure formal verification paper with no direct AI alignment discussion. Enriches existing Arrow's impossibility claim by providing machine-checkable proof foundation. No new claims warranted—the contribution is methodological (formal verification) rather than conceptual."
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extraction_notes: "Pure formal verification work with no direct AI alignment discussion in the paper itself. Strengthens mathematical foundation for existing Arrow's impossibility claims in the KB. No new claims warranted - this is methodological advancement (formal proof) of an already-established theorem rather than novel insight about alignment."
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## Content
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@ -39,5 +39,5 @@ EXTRACTION HINT: Likely enrichment to existing claim rather than standalone —
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## Key Facts
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- Arrow's impossibility theorem received full formal representation using proof calculus (Yamamoto, PLOS One, February 2026)
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- Formal proof complements existing computer-aided proofs from AAAI 2008 and simplified proofs via Condorcet's paradox
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- Published in PLOS One (open-access, peer-reviewed journal)
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- Formal proof complements existing computer-aided proofs from AAAI 2008
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- Paper provides meticulous derivation revealing global structure of social welfare function central to the theorem
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