trissim

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  1. I formalized the Single Source of Truth (SSOT) principle in Lean 4 (~2.1k LOC, zero sorry) and proved two core results: Structural SSOT is achievable only when a language provides definition-time hooks and runtime…

  2. We prove that identifying decision-relevant coordinates in a decision problem is coNP-complete. Finding the minimum sufficient coordinate set is also coNP-complete. Formally: given state space S = X_1 × ... × X_n and…

  3. I formalized a proof that the structural vs. nominal typing debate can't be won: any fixed-axis type system necessarily fails for some domain. The core result: for a type system with fixed axes (like structure,…