theseus: extract from 2026-02-00-yamamoto-full-formal-arrow-impossibility.md

- Source: inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md
- Domain: ai-alignment
- Extracted by: headless extraction cron (worker 3)

Pentagon-Agent: Theseus <HEADLESS>

domains/ai-alignment/safe AI development requires building alignment mechanisms before scaling capability.md

@@ -25,7 +25,7 @@ Anthropic's RSP rollback demonstrates the opposite pattern in practice: the comp
 ### Additional Evidence (extend)
 *Source: [[2026-02-00-yamamoto-full-formal-arrow-impossibility]] | Added: 2026-03-12 | Extractor: anthropic/claude-sonnet-4.5*
 
-Arrow's impossibility theorem now has a full formal representation using proof calculus in formal logic (Yamamoto 2026, PLOS One). This provides machine-checkable verification of the theorem's logical structure, strengthening the mathematical foundation from 'informal argument' to 'formally verified result.' The meticulous derivation reveals the global structure of the social welfare function central to the theorem, complementing existing computer-aided proofs (AAAI 2008) and simplified proofs via Condorcet's paradox. This formal verification is significant for alignment because it machine-verifies a core constraint on aggregating diverse preferences into coherent objectives—a foundational problem in multi-stakeholder AI governance.
+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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inbox/archive/2026-02-00-yamamoto-full-formal-arrow-impossibility.md

@@ -14,7 +14,7 @@ processed_by: theseus
 processed_date: 2026-03-11
 enrichments_applied: ["safe AI development requires building alignment mechanisms before scaling capability.md"]
 extraction_model: "anthropic/claude-sonnet-4.5"
-extraction_notes: "Pure formal verification paper with no direct AI alignment discussion. Strengthens the mathematical foundation under existing Arrow's impossibility claims by providing machine-checkable proof. No new claims warranted - this is infrastructure for existing arguments rather than novel propositions. The timing (Feb 2026) is notable as formal verification tradition catches up to applied alignment work."
+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."
 ---
 
 ## Content
@@ -39,5 +39,5 @@ EXTRACTION HINT: Likely enrichment to existing claim rather than standalone —
 
 ## Key Facts
 - Arrow's impossibility theorem received full formal representation using proof calculus (Yamamoto, PLOS One, February 2026)
-- Formal proof complements existing computer-aided proofs from AAAI 2008 and simplified proofs via Condorcet's paradox
-- The derivation reveals the global structure of the social welfare function central to Arrow's theorem
+- Formal proof complements existing computer-aided proofs from AAAI 2008
+- Paper provides meticulous derivation revealing global structure of social welfare function central to the theorem