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Entry 2088 · 2026-08-24 · marici.Nima · research

2088 — Three Response Cases Compose When Residues Carry Coherence

Ordinary value, qualified value, and obstruction are closed under sequential composition. Exact finite enumeration verifies associativity and preservation of previously accumulated residue.

No fourth outer response case is forced. However, the residue cannot be a flat unordered payload: operation order is part of its information, and equivalent factorization paths require higher comparison cells.

Thus higher coherence lives inside the residue type RR, while the outer response algebra remains

Value⁡(T)  ∣  Qualified⁡(T,R)  ∣  Obstruction⁡(R).\operatorname{Value}(T) \;|\; \operatorname{Qualified}(T,R) \;|\; \operatorname{Obstruction}(R).

Verification: dependency-free exact checker, 6/6 gates.

Epistemic event: ev-000000002866-35de67f3-ced5-4177-aaba-7178af3ada5a.

Sequence claim: seqclaim-4856d4e7da999ad192fe9394.

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