# Bounded Continuity Context Bundle - Generated from worktree: `C:\Users\070054\.copilot\repos\copilot-worktrees\standing-algebra\jonrademacher-effective-winner` - Git branch: `jonrademacher-complete-lean4-formalizations` - Git HEAD: `cc5ec3a1a5aaed9e4e3d6062cedab35ae80a0de4` - Git worktree: `contains uncommitted changes` - Epistemic status: reconstruction index; validate against live sources. - Framework boundary: Σᴿ and ICG are distinct peer frameworks. - No hidden model-state transfer, background autonomy, or behavioral identity is claimed. ## continuity/CURRENT_STATE.md # Current Continuity State **Checkpoint ID:** `UCK-2026-11-04-002` (source-corpus update candidate) **Checkpoint date:** 2026-11-04 **Product status:** continuity integration PR #9 was merged into `main` on 2026-11-04. The 24 user-supplied documents attached on 2026-11-04 are preserved as original DOCX files and readable text extractions in this candidate update. The unrelated pre-existing Lean edit remains uncommitted and out of scope. **Repository revisions:** - standing-algebra: `425a7bb1a62cdd970cf3a18dd256643ada134be9` (current `main` merge commit for PR #9). - ICG: `425a7bb1a62cdd970cf3a18dd256643ada134be9` for the integrated `ICG/` subtree only; a distinct ICG repository was not located. - kernel integration host: `425a7bb1a62cdd970cf3a18dd256643ada134be9` (`main`; PR #9 is merged). The hosted Lean, Coq, Z3, and continuity checks were observed passing on PR head `cc5ec3a1a5aaed9e4e3d6062cedab35ae80a0de4`. ## Canonical versions - Standing Algebra: repository README and `SigmaR/`; paper source snapshot v6.6 is preserved in `corpus/standing-algebra/`. - ICG: distinct formalization at `ICG/` and `ICG.lean`; manuscript snapshot in `corpus/icg/`. The README explicitly documents partial source coverage. - Operational kernel integration: version `0.1.0`, defined in `kernel/` and `continuity/`; it is not represented as the full UCK v3.55. - User source batch: 24 original DOCX files plus readable text extractions are registered in `manifests/CORPUS_MANIFEST.yaml`; originals remain authoritative where extraction omits layout, images, or non-text content. ## Active objectives - Maintain reconstructable continuity across sessions from versioned evidence. - Turn failures and discoveries into transparent, tested, reversible repository improvements. - Preserve Σᴿ and ICG source identity and all unresolved source gaps. ## Validated invariants - Σᴿ and ICG are separate frameworks; the ICG README calls out partial formalization coverage. - On the PR #9 head commit `cc5ec3a1a5aaed9e4e3d6062cedab35ae80a0de4`, Lean, Coq, Z3, and Continuity Integrity GitHub Actions checks passed. This is compilation/solver verification, not mathematical source fidelity or external validation; the merge commit is separately identified above. - The prior Goodhart workflow-control prototype has 22 passing Python tests as reported by its executed test run; it is a separate prototype, not proof of self-improvement effectiveness. ## Active trajectories - `AT-001`: maintain the merged continuity integration and validate the source-corpus candidate. - `AT-002`: locate and ingest the standalone ICG source repository if the user supplies its canonical URL or makes it accessible. - `AT-003`: classify supplied source materials and build evidence crosswalks; 24 user-supplied documents are preserved, while canonical UCK membership and corpus completeness remain unverified. ## Open residuals See `OPEN_RESIDUALS.md`. Key residuals: standalone ICG/UCK repositories absent; the completeness and canonical UCK status of supplied source materials remain unverified; source-to-formalization theorem mapping is not comprehensive. ## Known conflicts - Product specification requests three repositories; only Standing Algebra, I2OS Structural Admissibility, and Non-Domination Governance Kernel are configured. The latter two are not ICG/UCK sources. - Prior source manuscripts make broad formalization/validation claims; the repository README explicitly limits ICG coverage and states that axioms remain model assumptions. The narrower repository statements govern this checkpoint. - The current worktree had an unrelated user edit in `Collapse_Demonstrations/collapse.lean`; it is preserved and excluded from this product delta. ## Current nondominated checkpoints - `UCK-2026-11-04-001`: canonical partial checkpoint for the initial continuity integration. - `UCK-2026-11-04-002`: candidate checkpoint for the newly ingested source corpus; local validation must pass and hosted continuity CI is still needed before treating this update as a validated repository checkpoint. - The PR #9 head checks passed on `cc5ec3a1`; full receipts are listed in `manifests/VALIDATION_RECEIPTS.json`. ## Superseded states retained for provenance - Prior worktree commit `1fb47f313b1ddb147ed1ac3506a06f4f12fa43cf` introduced the Goodhart workflow control prototype and was merged into main by `cbc4211b`. - Earlier Lean repair commit `1309de3f5fd69127929e23d6d6e19cb5bd9dc3b4` repaired merge damage; it remains in ancestry. ## Current proof and CI status - PR #9 head `cc5ec3a1a5aaed9e4e3d6062cedab35ae80a0de4`: Lean, Coq, Z3, Continuity Integrity, and CodeQL checks passed; the merge commit is `425a7bb1a62cdd970cf3a18dd256643ada134be9`. - ICG: shares the Standing Algebra source repository's Lean build. Build success does not imply complete transcription; see ICG README coverage boundary. - Source-corpus candidate: 37 standard-library Python tests pass locally and Markdown links, SHA-256 verification (1,124 managed files), and release-mode validation pass with the expected warning that hosted CI is pending. The bounded context bundle includes the supplied source corpus. Hosted CI has not yet run on this candidate. - Earlier integration correction: the initial hosted continuity workflow failed at hash verification on `a464e447`; the failure and correction are archived in `learning/`, and corrected hosted run 41891627641 passed on `bd3f0703`. ## Reopening conditions Reopen source identity if the canonical ICG repository URL is supplied or found; reopen UCK scope if additional canonical materials or a repository are identified; reopen any validation claim when commit, workflow receipt, source mapping, or test evidence changes. ## Next admissible executable steps 1. Push the corpus update only after user instruction; hosted CI is required before it becomes a validated repository checkpoint. 2. Keep the unrelated `Collapse_Demonstrations/collapse.lean` edit out of the source-corpus change. ## manifests/CORPUS_MANIFEST.yaml - Registered sources: 30 - User-supplied source documents: - A Practical Guide to On Relevance: original `corpus/source-documents/originals/A Practical Guide to On Relevance.docx`, readable extraction `corpus/source-documents/text/A Practical Guide to On Relevance.txt`. - Boundary Operator, Domination Singularity, and Derived Operators (Preliminary): original `corpus/source-documents/originals/Boundary Operator, Domination Singularity, and Derived Operators (Preliminary).docx`, readable extraction `corpus/source-documents/text/Boundary Operator, Domination Singularity, and Derived Operators (Preliminary).txt`. - Collatz via SigmaR and ICG: original `corpus/source-documents/originals/Collatz via SigmaR and ICG.docx`, readable extraction `corpus/source-documents/text/Collatz via SigmaR and ICG.txt`. - Constraint, Standing, and Legitimacy - A Structural Approach: original `corpus/source-documents/originals/Constraint, Standing, and Legitimacy - A Structural Approach.docx`, readable extraction `corpus/source-documents/text/Constraint, Standing, and Legitimacy - A Structural Approach.txt`. - Coordination without Final Authority - Structural Axioms of Pluralist Legitimacy: original `corpus/source-documents/originals/Coordination without Final Authority - Structural Axioms of Pluralist Legitimacy.docx`, readable extraction `corpus/source-documents/text/Coordination without Final Authority - Structural Axioms of Pluralist Legitimacy.txt`. - Coordination without Final Authority: original `corpus/source-documents/originals/Coordination without Final Authority.docx`, readable extraction `corpus/source-documents/text/Coordination without Final Authority.txt`. - Evaluating PvNP with Sigma R and ICG: original `corpus/source-documents/originals/Evaluating PvNP with Sigma R and ICG.docx`, readable extraction `corpus/source-documents/text/Evaluating PvNP with Sigma R and ICG.txt`. - Flowchart For Establishing Coordination Without Domination: original `corpus/source-documents/originals/Flowchart For Establishing Coordination Without Domination.docx`, readable extraction `corpus/source-documents/text/Flowchart For Establishing Coordination Without Domination.txt`. - Foundations of Standing Algebra: original `corpus/source-documents/originals/Foundations of Standing Algebra.docx`, readable extraction `corpus/source-documents/text/Foundations of Standing Algebra.txt`. - Legitimacy Philosophy for On Relevance: original `corpus/source-documents/originals/Legitimacy Philosophy for On Relevance.docx`, readable extraction `corpus/source-documents/text/Legitimacy Philosophy for On Relevance.txt`. - NSCaseStudy: original `corpus/source-documents/originals/NSCaseStudy.docx`, readable extraction `corpus/source-documents/text/NSCaseStudy.txt`. - NSProof: original `corpus/source-documents/originals/NSProof.docx`, readable extraction `corpus/source-documents/text/NSProof.txt`. - On Relevance: original `corpus/source-documents/originals/On Relevance.docx`, readable extraction `corpus/source-documents/text/On Relevance.txt`. - PatentPacket: original `corpus/source-documents/originals/PatentPacket.docx`, readable extraction `corpus/source-documents/text/PatentPacket.txt`. - Prospectus for On Relevance: original `corpus/source-documents/originals/Prospectus for On Relevance.docx`, readable extraction `corpus/source-documents/text/Prospectus for On Relevance.txt`. - PvNP in Sigma R and ICG: original `corpus/source-documents/originals/PvNP in Sigma R and ICG.docx`, readable extraction `corpus/source-documents/text/PvNP in Sigma R and ICG.txt`. - QMR Proposal: original `corpus/source-documents/originals/QMR Proposal.docx`, readable extraction `corpus/source-documents/text/QMR Proposal.txt`. - Standing Algebra Technical Specs: original `corpus/source-documents/originals/Standing Algebra Technical Specs.docx`, readable extraction `corpus/source-documents/text/Standing Algebra Technical Specs.txt`. - Standing_Algebra_SigmaR: original `corpus/source-documents/originals/Standing_Algebra_SigmaR.docx`, readable extraction `corpus/source-documents/text/Standing_Algebra_SigmaR.txt`. - StD for Patent: original `corpus/source-documents/originals/StD for Patent.docx`, readable extraction `corpus/source-documents/text/StD for Patent.txt`. - Symmetry, Standing, and Structural Stability: original `corpus/source-documents/originals/Symmetry, Standing, and Structural Stability.docx`, readable extraction `corpus/source-documents/text/Symmetry, Standing, and Structural Stability.txt`. - Time Without Dynamics: original `corpus/source-documents/originals/Time Without Dynamics.docx`, readable extraction `corpus/source-documents/text/Time Without Dynamics.txt`. - Using Sigma R and ICG to Evaluate RH: original `corpus/source-documents/originals/Using Sigma R and ICG to Evaluate RH.docx`, readable extraction `corpus/source-documents/text/Using Sigma R and ICG to Evaluate RH.txt`. - Why Being Right Isn't Enough: original `corpus/source-documents/originals/Why Being Right Isn't Enough.docx`, readable extraction `corpus/source-documents/text/Why Being Right Isn't Enough.txt`. - Hashes and full provenance are recorded in the source manifest. ## manifests/CURRENT_CHECKPOINT.yaml - ID: `UCK-2026-11-04-002` - Status: `initialized_candidate` - Created: `2026-11-04T19:25:23Z` - Host branch / HEAD: `jonrademacher-complete-lean4-formalizations` / `cc5ec3a1a5aaed9e4e3d6062cedab35ae80a0de4` - Validation receipts: - standing_algebra_lean: passed (actions-lean-cbc4211) - standing_algebra_coq: passed (actions-coq-cbc4211) - standing_algebra_z3: passed (actions-z3-cbc4211) - python_tests: passed (source-corpus-tests-2026-11-04) - continuity_validation: passed (source-corpus-validation-2026-11-04) - markdown_links: passed (source-corpus-links-2026-11-04) - sha256_manifest: passed (source-corpus-sha256-2026-11-04) - context_bundle: passed (source-corpus-context-2026-11-04) - continuity_integrity: pending (continuity-integrity-source-corpus) - Open residuals: - R-001 (open): No standalone ICG repository is accessible. ICG source currently resides under `ICG/` in Standing Algebra; no separate repo identity can be asserted. - R-002 (open): No standalone Unified Compatibility Kernel repository or independently identified complete UCK corpus is available. The 24-document user-supplied source batch is preserved, but its canonical UCK membership and completeness are not independently established. - R-003 (closed): The 24 documents supplied in the 2026-11-04 attachment batch are preserved as original DOCX files and readable text extractions, each with provenance and hashes. This closes ingestion of that batch, not completeness of any broader corpus. - R-004 (open): NDGK workspace audit exact HEAD and live CI status could not be directly confirmed; merge-base only was observed. It is not treated as authoritative UCK state. - R-005 (open): I2OS repository has internal author inconsistency (README citation vs paper title page/bib) and no validation/CI receipt in the audit. It is excluded from product authority. - R-006 (open): Comprehensive manuscript theorem-ID-to-formalization mapping for Σᴿ/ICG was not found. - R-007 (open): ICG README reports selected formalization and source gaps; successful aggregate build does not close these. - R-008 (open): Root branch contains pre-existing uncommitted `Collapse_Demonstrations/collapse.lean` change. - R-009 (closed): Corrective Continuity Integrity run passed on commit `bd3f0703ad3f9a65de9e50a920d08e693c0fb956`; see receipt `continuity-workflow-bd3f0703`. - R-010 (closed): Checkpoint `UCK-2026-11-04-001` regenerated with corrective commit `bd3f0703ad3f9a65de9e50a920d08e693c0fb956` and hosted receipt `continuity-workflow-bd3f0703`. - R-011 (open): Current scripts validate artifact integrity and references, not mathematical semantics, source transcription, product efficacy, or scholarly validity. - R-012 (open): Copilot customization files are repository artifacts; not all Copilot clients may support every agent/skill/prompt surface. No live Copilot configuration test was performed. - R-013 (closed): `.git` metadata is excluded and NUL-free valid UTF-8 files are normalized across line endings; binary files remain byte-exact. - R-014 (open): The 24-document corpus update has passed local tests, link checks, hash verification, and release validation, but no hosted Continuity Integrity run has validated this candidate yet. ## kernel/KERNEL_CURRENT.md # Kernel Current **Status:** Reconstructed operational-method summary, initialized 2026-11-04. **Authority:** The user-supplied continuity build package is the controlling product specification; this file is an implementation index, not a replacement. The operational kernel combines current-state reconstruction, typed epistemology, provenance, candidate-survivor preservation, failure/discovery learning, explicit validation ladders, no-regression, recovery, and version-controlled improvement. It does not claim hidden model-state transfer, consciousness, independent authority, or background autonomy. ## Source relationships - Standing Algebra (Σᴿ) is a logical/relational peer framework. Source: `../SigmaR/`, root `README.md`, and preserved source artifact in `../corpus/standing-algebra/`. - Interoperability Constraint Geometry (ICG) is a distinct geometric/algebraic peer framework. Source: `../ICG/`, `../ICG.lean`, and preserved source artifact in `../corpus/icg/`. - The Unified Compatibility Kernel is an operational-method source represented here only by supplied continuity materials. No standalone UCK repository or complete UCK corpus was available during initialization. - `Non-Domination-Governance-Kernel` is a distinct derivative project, not the UCK integration repository. `I2OS-Structural-Admissibility` is a distinct paper project, not the ICG repository. ## Improvement boundary Accepted improvements are repository changes with provenance, evidence, counterexample tests, validation receipts, explicit residuals, rollback, and reopening conditions. A favorable output alone never rewrites the kernel. ## kernel/INVARIANTS.md # Operational Invariants 1. Standing Algebra and ICG remain distinct peer frameworks. 2. Original sources remain authoritative; summaries route to them. 3. Access, relevance, agreement, compilation, and user approval are not mathematical proof or external validation. 4. Historical state is not current state without verification. 5. Elimination requires a witness; all surviving candidates retain identity and reentry conditions. 6. Failure is localized unless evidence supports a wider obstruction. 7. No validated checkpoint is silently weakened or overwritten. 8. Improvements are evidence-bearing, tested, reversible repository deltas. 9. A non-allow/review state is not a safety certification or empirical claim. 10. Completion requires an observed terminal state and recorded evidence. ## kernel/AUTHORITY_AND_PROVENANCE.md # Authority and Provenance ## Authority rules - The Standing Algebra source tree is authoritative for its formal content; ICG sources are authoritative for ICG content. - The frameworks are historically connected but mathematically distinct. - User-supplied manuscript and continuity packages are source claims with their supplied authorship/provenance; repository code and CI are separately inspectable evidence. - This integration is a derivative operational realization. It does not gain authority over either framework. - Access is not authority; relevance is not authority; agreement is not proof; user approval is not a mathematical truth-maker; compilation is not validation; historical state is not automatically current. - Fictional or illustrative examples may inform test design, never empirical claims. - Preserve contributor attribution and repository license/citation terms. - External claims require external evidence. ## Provenance record minimum Every promoted artifact records source identity, author/contributor where known, exact path/URL, source revision or attachment identity, transformation, dependencies, validation receipts, and residuals. Unknown values stay `unknown`; they are not inferred. ## Initialization sources See `corpus/README.md`, `manifests/CORPUS_MANIFEST.yaml`, and `continuity/PROJECT_GRAPH.md`. The separate ICG repository and standalone UCK repository were not found in the accessible configured projects or account repository listing; this limitation remains open. ## continuity/PROJECT_GRAPH.md # Project Graph ## Nodes | Node | Identity and authority | Currentness | Relation | |---|---|---|---| | Standing Algebra Σᴿ | `https://github.com/JonRademacher/standing-algebra`; `SigmaR/`, root README, citation and attribution notice | Current `main` merge commit: `425a7bb1a62cdd970cf3a18dd256643ada134be9`; PR-head Lean/Coq/Z3 checks passed on `cc5ec3a1a5aaed9e4e3d6062cedab35ae80a0de4` | Logical/relational framework; canonical source for Σᴿ | | ICG | `ICG/` and `ICG.lean` in the same repository; manuscript snapshot `corpus/icg/Nullstellensatz_Via_SigmaR_and_ICG.txt` | Current `main` merge commit: `425a7bb1a62cdd970cf3a18dd256643ada134be9`; README explicitly documents partial coverage | Distinct geometric/algebraic peer framework; historically connected to Σᴿ | | User-supplied research corpus | 24 documents attached on 2026-11-04, preserved under `corpus/source-documents/`; originals and text derivatives are individually hashed in `manifests/CORPUS_MANIFEST.yaml` | Attachment snapshots as received; document claims and completeness are not independently validated | Supplied source corpus used by the user; supports continuity and future crosswalks, but is not presumed to be a complete or canonical UCK corpus | | Unified Compatibility Kernel materials | User-provided build package and prior continuity notes preserved under `corpus/kernel/` | Attachment snapshots; no standalone UCK repo found | Operational methodology source; does not replace either mathematical source | | Continuity integration | This repository's `kernel/`, `continuity/`, `learning/`, `governance/`, scripts and workflows | Initial integration merged by PR #9 at `425a7bb1a62cdd970cf3a18dd256643ada134be9`; source-corpus update is a local candidate | Tooling for reconstructable, evidence-bearing repository continuity | | Non-Domination-Governance-Kernel | `https://github.com/JonRademacher/Non-Domination-Governance-Kernel` | Separate configured project; audit found derivative NDGK, not UCK/ICG; exact HEAD unconfirmed | Related but distinct implementation-derived project; source for cautionary continuity examples only | | I2OS Structural Admissibility | `https://github.com/i2os-lab/I2OS-Structural-Admissibility` | Separate configured project; read-only audit found paper repo, not ICG | Not a source or dependency of ICG/UCK | | Standing Algebra manuscript snapshot | `corpus/standing-algebra/Standing_Algebra_SigmaR.txt` | User-supplied session artifact; provenance hash in corpus manifest | Source claim/context, not automatically identical to current repo | ## Supported edges - `Σᴿ --formalized_in--> SigmaR/` (repository paths and README). - `ICG --formalized_in--> ICG/` (repository paths and README). - `ICG --historically_connected_to--> Σᴿ` (ICG manuscript disclosure; does not imply equivalence). - `continuity integration --uses_specification--> build package` (user instruction and preserved attachment). - `continuity integration --uses_operational_notes--> prior Copilot continuity notes` (user-provided text artifact). - `continuity integration --indexes--> user-supplied research corpus` (24 preserved DOCX originals and derived text snapshots; provenance and integrity recorded in the corpus manifest). - `integration --records_sources_of--> Σᴿ, ICG, UCK materials` (this manifest and provenance files). - `Non-Domination-Governance-Kernel --derived_from--> Σᴿ` (audited repository README; not a conclusion that it equals UCK). No assertion is made that the UCK is mathematically derived from either source. ## Conflicts and missing lineage - No accessible standalone ICG repository was found in the configured projects or `gh repo list JonRademacher`; current ICG files are an in-repository subtree. - No standalone UCK repo was found. The package references additional transfer materials, and the 24 attached documents are now preserved. Their inclusion does not establish that the UCK has a specific canonical corpus or that all referenced transfer materials have been supplied. - The separate I2OS paper's README author and paper title page/bibliography do not agree; no I2OS content is promoted into the source graph. - The Σᴿ manuscript snapshot and live formal source have different claim maturity; repository README scope and exact declarations govern formal status. ## Formalization-to-manuscript mapping No comprehensive theorem-ID-to-Lean/Coq/Z3 crosswalk was found during audit. ICG modules are described in the README and source code, but this is not a verified per-theorem mapp [Bundle limit reached; remaining sources omitted. Full source: `continuity/DEPENDENCY_GRAPH.md`]