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April 8, 20260 citationsOpen Access

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

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SNShinichi Nagata

Key Points

  • This work aims to formalize a non-destructive integration process at the commitment boundary in memory architectures.
  • Introduced SiriusA-PIC as a phase-invariant memory architecture.
  • Formalized the merging of global states using a commutative and associative join.
  • Defined operational equivalence based on commitment-relevant criteria.
  • Established the minimal structural conditions for safe, non-destructive updates.
  • Demonstrated order robustness and idempotency of committed states.
  • Defined safety rules for commitment through severity ordering and evidence accumulation.

Abstract

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 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/AUTHORSNOTE. md

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Cite This Study

Shinichi Nagata (2026) studied this question.

synapsesocial.com/papers/69d5f13674eaea4b11a7ac67https://doi.org/10.5281/zenodo.19433866
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