BIT-DCCC-001: Dynamic Coalition Capability Closure — Formal Architecture, Analytic Proof, Finite Regression, and Lean 4.30.0 Mechanization Handoff

Abstract

BIT-DCCC-001 introduces Dynamic Coalition Capability Closure, a pre-canonical formal programme for reasoning about capabilities that emerge when multiple agents, tools, credentials, data, channels, policies and mandates are dynamically composed. The programme separates capability, authority and provenance graphs; defines typed event-sourced coalition snapshots; gives a three-valued, snapshot-relative closure judgement; freezes 19 obligations and 28 countermodel/witness records; provides human-readable analytic proofs for eight independent theorem statements, six derived results and eight supporting records within the declared finite positive model; and supplies finite property, symbolic-computation and adversarial regression evidence. F5 executed 570,069 Python checks and 102,196 independent Node.js checks, killed 24/24 mutations, regressed 28/28 frozen countermodel routes and reproduced two clean runs. F6A authored and statically audited a Lean 4 source candidate. F6B could not invoke Lean 4.30.0 because the exact toolchain was unavailable; therefore all eight core declarations remain NOT_KERNEL_CHECKED, the mechanized theorem count is zero, and no theorem failure is inferred. This release emits no authority or world effects, opens neither F7 independent review nor F8 canonical status, and makes no field/production-security or novelty-validation claim. It preserves all F0–F6B reports, reproducibility packs and checksum sheets with a release manifest and public-audit handoff.