Decision-OS V6 (PIC): Canonical Commitment for Non-Destructive Integration

We present SiriusA-PIC, a phase-invariant memory architecture that formalizes non-destructive integration at the commitment boundary. A global state S is updated by admissible, monotone, and inflationary deltas (ΔS); states are merged via a commutative, associative, and idempotent join (⊔), followed by commitment-bounded canonicalization (Canon). Operational equivalence is defined relative to commitment-relevant queries and commitment outcomes under the same admissible evidence. Canon collapses only distinctions irrelevant to commitment, while preserving all commitment-relevant structure. Safety is enforced at commitment via conservative aggregation: severity ordering (PASS < DELAY < BLOCK), time aggregation by until = max, and evidence accumulation by set union (∪). These rules ensure that committed states are order-robust, idempotent under repetition, and non-dilutive with respect to safety signals. This work does not define self-evolution, update selection, or temporal optimization. Instead, it establishes the minimal structural conditions under which later structural change can occur without destructive inconsistency. A minimal bridge condition such as ΔH > 0 is acknowledged only as a prerequisite for later layers, and is not optimized or theorized in this version. This release consolidates and formalizes the core claims of Decision-OS V6 into a single, reviewable canonical edition. Lineage and Versioning This is Version 4 of the Decision-OS V6 (PIC) lineage. Version 1 introduced the breakout thesis.Version 2 refined the early structure.Version 3 provided an initial English canonical release.Version 4 provides the present consolidated and review-oriented revision, focusing on minimal formalization and commitment-bound structural clarity. Transparency / Author’s Note (canonical): https://github.com/shin4141/decision-os-paper/blob/main/AUTHORS_NOTE.md