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Syntactic Systems Cannot See Semantic Invariants

cs.LO · 2026-06-15 · unverdicted · novelty 6.0

Closes the missing direction of an open question on incomparability of two induction theories via a short syntactic argument and extracts the Syntactic Invariance Principle.

Remarks on Primitive Regulation

math.LO · 2026-05-18 · unverdicted · novelty 6.0 · 2 refs

An obstruction theorem establishes that Eval(C), MP(C), Cons(C), and LEM(C) are jointly incompatible for any closure predicate C on formulas built from bottom and implication.

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  • Remarks on Primitive Regulation math.LO · 2026-05-18 · unverdicted · full · ref 5 · 2 links

    An obstruction theorem establishes that Eval(C), MP(C), Cons(C), and LEM(C) are jointly incompatible for any closure predicate C on formulas built from bottom and implication.

  • Carryless Pairing: Additive Pairing in the Fibonacci Basis math.LO · 2025-09-12 · unverdicted · partial · ref 3

    Defines an injective carryless pairing map on naturals using disjoint Zeckendorf index bands separated by an x-derived delimiter, with Rocq-mechanized correctness.