CDIP v3.0 P25 Addendum Patch (A1–A6)

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1. Verfasser: Lin, Jian
Format: Recurso digital
Veröffentlicht: Zenodo 2026
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author Lin, Jian
author_facet Lin, Jian
contents <p>This standalone addendum patch consolidates the “A-track” theoretical extensions (A1– A6) to CDIP v3.0 P25 (Thin-Category / Preorder Formulation). We (i) enrich the thin problem/solution categories with finite lattice structure (meets/joins) and interpret thin limits/colimits; (ii) make the TAO/FQC outcome preorder explicit as a policy-committed total preorder via a rank function; (iii) define the closure operator K := ΦH on problems and prove monotone/extensive/idempotent laws; (iv) identify Fix(K ) as a reflective subcategory; (v) de- fine the interior operator L := HΦ on solutions and prove monotone/contractive/idempotent laws; and (vi) identify Fix(L) as a coreflective subcategory. The result is an audit-ready categorical skeleton for compositional niche construction and strategy solidification, without upgrading structural properties into operational PASS guarantees.</p>
format Recurso digital
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publishDate 2026
publisher Zenodo
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spellingShingle CDIP v3.0 P25 Addendum Patch (A1–A6)
Lin, Jian
<p>This standalone addendum patch consolidates the “A-track” theoretical extensions (A1– A6) to CDIP v3.0 P25 (Thin-Category / Preorder Formulation). We (i) enrich the thin problem/solution categories with finite lattice structure (meets/joins) and interpret thin limits/colimits; (ii) make the TAO/FQC outcome preorder explicit as a policy-committed total preorder via a rank function; (iii) define the closure operator K := ΦH on problems and prove monotone/extensive/idempotent laws; (iv) identify Fix(K ) as a reflective subcategory; (v) de- fine the interior operator L := HΦ on solutions and prove monotone/contractive/idempotent laws; and (vi) identify Fix(L) as a coreflective subcategory. The result is an audit-ready categorical skeleton for compositional niche construction and strategy solidification, without upgrading structural properties into operational PASS guarantees.</p>
title CDIP v3.0 P25 Addendum Patch (A1–A6)
url https://doi.org/10.5281/zenodo.18486721