Coherence Types
A Refinement Calculus where Convention Coherence is the Declarations Forcing Every Reconciliation
Is the proposed coherence calculus sound under its refinement-type discipline?
The type-soundness theorem is false, including under the proposed static-fragment repair.
Abstract
Withdrawn historical artifact. The type-soundness theorem is false under the stated rules; the static fragment does not rescue the theorem. See the correction register for the surviving scope.
Record
Status
withdrawnFalsifiedhistorical · v1 · as of 2026-07-22
Corrections
The type-soundness theorem is false under the stated rules; the static fragment does not rescue the theorem.
Falsification
not-applicable
External review
not requested
Historical decision · 2026-07-14
Status decision
- Why it was pursued
- The paper tested whether a type system enforces the proposed coherence discipline statically.
- Evidence change
- A higher-order counterexample falsified type soundness and the proposed static fragment did not repair it.
- No longer claimed
- Type soundness under the stated rules
- Static-fragment rescue
- Retained results
- Counterexample and negative design guidance
SuccessorsA Witness Logic for Semantic Composition