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Retain PC01–03 and existing formal capabilities for completed finite tasks; PC04–06 draft, candidates parked and no baseline amendment.

Cycle 01 — Foundation Review 1

Date: 2026-10-12. Explicit internal review accepted under D-0009. Evidence cutoff: aa0dd96c11b83675e978f627aa31621a6bf78101. Review basis: frozen baseline v0.1, the four package dispositions and Synthesis Review 1. Scope: adequacy for the completed finite commitments, not adequacy for every future inquiry.

Contract assessment

Contract Evidence assessment Disposition and boundary
PC01 continuation/preservation RP003 separates adjacent, endpoint, prefix and variation criteria; RP004 separates current-state equality and genealogy queries. Subjects, transformations and comparison criteria are necessary to interpret these outcomes. Retain FROZEN. Counterexamples concern implications between particular criteria, not failure of a contract that explicitly requires declaring the criterion. No general identity relation is selected.
PC02 representation/inquiry RP002A's useful E1 history contrasts with E0/E2 equivalence at fixed budgets. RP004 reveals query collisions and sufficient R3 decoding for its finite family. Retain FROZEN. Keep inquiry, permitted collapse, resource limits and excluded future inquiries explicit. Sufficiency here neither means minimality nor survival of unforeseen queries.
PC03 admissible reachability RP005A preserves fixed-source inclusion while restrictions change selected endpoints and coverage. H=1/2/4 and future B=3 budgets have different origins. Retain FROZEN. Specify source, targets, admissibility, resources, horizon and policy. Finite existential terminal reachability is not a viability kernel or indefinite safety.
PC04 revision No executed revision-governance package in this Cycle. Retain DRAFT; no Result-based validation or Q-1 resolution.
PC05 relational sufficiency No executed relational-dependence package in this Cycle. Retain DRAFT; Q-5 remains OPEN.
PC06 structural transfer No declared cross-package transfer map with independently assessed preserved consequences. Retain DRAFT. Similar language across packages does not validate transfer.

Operational protocols instantiate PC01–03 but do not exhaust their possible subjects. Fixed-contract status is a baseline versioning rule, not an assertion that contracts cannot be revised. A future change requires an explicit amendment or deviation record, not silent editing of v0.1.

Formal capability assessment

Existing mathematics represented the completed tasks: probabilistic prediction and representation maps in RP002A; feature equality, metric tolerance and path composition in RP003; branch genealogy and query decoding in RP004; finite DAG reachability and exact truncated reward planning in RP005A. No repeatedly demonstrated inability of these structures to express or answer a declared finite task has been established.

RP003's non-composing local tolerance is a property to represent, not evidence that metric mathematics must be replaced. RP004's inadequate projections are information omissions relative to queries, not a demonstrated deficit in directed genealogy structures. RP005A's policy losses are consequences of supplied rewards/admissibility and finite horizons, not failure of finite-graph reachability. RP002A's procedure/budget comparison does not prove that all existing representation mathematics is inadequate.

Retain the formal-capability contract and its weakest-sufficient-structure rule. Borrow existing mathematics first. A bridge proposal needs a specific representation or composition obligation and an adequacy comparison; new mathematics needs a recurring documented formal deficit. Current encodability does not prove optimality, minimality or adequacy outside these tasks. No new formal system or preferred ontology is introduced.

Foundation candidates and legacy

Transformation-first, relation-first, distinction-first, event-first and state-transition candidates remain parked hypotheses. The packages vary transformations, queries and information boundaries but do not compare these candidates under a shared discriminating test. Q-4's possible reduction to Q-3 remains a research candidate. Do not choose a foundation by counting which vocabulary appears most often.

DAM X has no supplied-source assessment here. No L0–L3 reconstruction, S0–S5 survival judgment, mechanism inheritance or DAM X v2 is inferred. ARM/SERA/DAF remain queued. Historical ancestry cannot validate the new framework; the legacy pilot remains a separate unresolved commitment.

Constitution and governance assessment

The completed record supports continued use of declared assumptions/scope, competing controls, canonical negative outcomes and revisable interpretations. It does not establish question completeness or independence, novelty, cross-domain unification or a final theory. Q-0/Q-2/Q-3/Q-4 remain ACTIVE; Q-1/Q-5 remain OPEN. Package CLOSED and Result VALID are scoped dispositions, not Question solutions.

The absent pre-RP004/RP005A Checkpoint A was a governance failure. Preserve the timing deviation and D-0008's late-review assessment. The present foundation review does not retroactively repair that failure or license another skipped gate. Future execution must pass its applicable cross-package gate before starting; transition should specify the gate, its evidence and execution dependency rather than relying on implicit narrative approval. This is a forward process recommendation, not an amendment or a retrospective authorization.

The incomplete RP002A attempt, clock/sleep record and separately authorized fresh confirmation remain distinct. All original input freezes, outputs, Test registrations, Results, package reviews, baseline files and the immutable checkpoint snapshot/tag are preserved.

Self-review and revision triggers

Internal self-review asks whether the findings contradict the contract rather than only a tested implication; whether a procedure limitation is mistaken for a formal impossibility; whether deterministic counts are conflated with confidence; and whether common vocabulary is mistaken for transfer. The answer in this finite evidence set is that no baseline replacement or foundation promotion is justified. This is a bounded adequacy assessment; external foundational scientific review has not occurred.

Revisit through a new recorded Decision if a material error invalidates a Result, a declared contract cannot express an authorized inquiry, repeated tasks reveal a formal deficit, a transfer map preserves testable consequences, or source-backed legacy work changes the candidate comparison. New work needs its own scoped protocol and review. Keep the present assessment immutable as a dated record; baseline changes require explicit amendment/deviation handling.

Disposition

D-0009 completes Foundation Review 1 alongside Synthesis Review 1. Retain PC01–03 FROZEN, PC04–06 DRAFT and baseline v0.1 unchanged. No new Claim, Assumption instance, semantic support edge, experiment or Cycle 2 commitment follows. Cycle 01 stays ACTIVE at 8/13 (61.5%); five obligations remain unresolved, including the DAM X source dependency and the separate close bundle.

Evidence references

Source record

Repository path: cycles/cycle-01/reviews/FOUNDATION_REVIEW_001.md

SHA-256: 55aa08dde06f9ab9717c395af45ded81111d287089fd6e7528b6e22a809164de

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