A-OPS — Operational Semantics of Mismatch, Closure, and Tolerance
A-OPS clarifies the operational semantics of mismatch, relaxation, reconciliation, and tolerance without introducing new axioms or mechanisms. While prior A- and M-series papers defined formal primitives, the operational behavior remained partially implicit.
Key Clarifications:
- Mismatch reinterpreted as unassigned informational degrees of freedom (not excess information or error)
- Closure as the sole committing operation
- Tolerance as finite admissibility window sustaining mutual cohesion during exploratory relaxation
- Partition and closure-stable invariance arise as necessary consequences when reconciliation is inadmissible, not as independent substrate events
Substrate Non-Agency: The CD substrate does not act, optimize, select, or minimize. No controller, objective function, or algorithmic search. Substrate consists solely of informational configurations, constraints on admissible configurations, and rules governing which configurations may be jointly closed. All apparent dynamics arise from changes in admissibility, not from directed action.
Purpose: Makes explicit how the substrate behaves during relaxation and attempted reconciliation. Unifies recent simulator developments and M-series results while preserving full backward compatibility with existing axioms.
Paper ID: CD-A-OPS | Series: A-series (Substrate Mechanics) | Status: Draft | Dependencies: A