docs/CLAIMS.json

{
  "format": "axiomesh-claims-v1",
  "date": "2026-10-07",
  "core_version": "0.2.0",
  "review_status": {
    "independent_human_peer_review": false,
    "formal_proof_assistant_certification": false,
    "automated_checks": "see results/agent_expert_qa.json"
  },
  "important_negative_result": "Strong conventional finite learner ties principal prediction benchmark.",
  "novelty_probabilities": "No calibrated world-first or new-RSI-class probability is supplied.",
  "claims": [
    {
      "id": "C01",
      "title": "Finite operational closure and frozen compilation",
      "status": "proved_in_manuscript_and_tested",
      "novelty_boundary": "Established behavioral-equivalence and linear-observability foundations",
      "assumptions": "Declared finite query/action matrices",
      "manuscript": "thm:compile",
      "implementation": [
        "close_operators",
        "Closure.compile"
      ],
      "tests": [
        "test_closure_exact_and_frozen",
        "test_random_closure"
      ]
    },
    {
      "id": "C02",
      "title": "Capability growth can invalidate old memory sufficiency",
      "status": "derived_and_tested",
      "novelty_boundary": "Candidate architectural use; principle follows from refined behavioral equivalence",
      "assumptions": "New declared actions with trusted memory",
      "manuscript": "Why present recall is not future recall",
      "implementation": [
        "hole_certificate",
        "Memory.recall"
      ],
      "tests": [
        "test_static_recovery_is_not_future_recovery",
        "test_capability_growth_exposes_a_real_program_witness"
      ]
    },
    {
      "id": "C03",
      "title": "Query-relative exact identifiability",
      "status": "proved_in_manuscript_and_tested",
      "novelty_boundary": "Known linear algebra / functional observability",
      "assumptions": "Consistent trusted linear observations over a prime field",
      "manuscript": "thm:recall",
      "implementation": [
        "Memory.recall"
      ],
      "tests": [
        "test_inconsistent_memory_rejected",
        "test_partial_execution"
      ]
    },
    {
      "id": "C04",
      "title": "Minimum additional scalar acquisition rank",
      "status": "proved_in_manuscript_and_tested",
      "novelty_boundary": "Known rank supplement; coupled architectural application",
      "assumptions": "Unrestricted attainable scalar linear observations",
      "manuscript": "thm:debt",
      "implementation": [
        "Memory.supplement",
        "Memory.acquire"
      ],
      "tests": [
        "test_acquisition_lower_bound_and_transaction"
      ]
    },
    {
      "id": "C05",
      "title": "Minimal additional ancestral tether",
      "status": "proved_in_manuscript_and_tested",
      "novelty_boundary": "Known complement dimensions applied to a lineage contract",
      "assumptions": "Child row spaces lie within parent relevant space; count field symbols",
      "manuscript": "thm:tether",
      "implementation": [
        "split_with_tether"
      ],
      "tests": [
        "test_minimal_fractal_tether"
      ]
    },
    {
      "id": "C06",
      "title": "Recursive reconstruction without internal parent seeds",
      "status": "proved_in_manuscript_and_tested",
      "novelty_boundary": "Recursive application of stated finite complement contract",
      "assumptions": "Required leaf/tether data and transformation metadata survive",
      "manuscript": "thm:recursive",
      "implementation": [
        "fractalize",
        "regenerate_tree"
      ],
      "tests": [
        "test_recursive_fracture"
      ]
    },
    {
      "id": "C07",
      "title": "Known-erasure regenerative seed",
      "status": "tested",
      "novelty_boundary": "Classical polynomial erasure coding",
      "assumptions": "Known erasures; no general metadata or consistent-corruption authentication",
      "manuscript": "Fractal checkpoints and lower bounds",
      "implementation": [
        "Capsule.recover",
        "Capsule.correct"
      ],
      "tests": [
        "test_all_erasures_within_radius",
        "test_one_corruption_bounded_distance"
      ]
    },
    {
      "id": "C08",
      "title": "Held-out predictions inside the supplied learned algebraic family",
      "status": "tested_with_strong_baseline_tie",
      "novelty_boundary": "No new autonomous family-discovery claim",
      "assumptions": "Supplied alternating-interaction family; 10,000 aggregate words",
      "manuscript": "Learned world-model to regenerated offspring",
      "implementation": [
        "esre_v01.py",
        "run_experiments.py"
      ],
      "tests": []
    },
    {
      "id": "C09",
      "title": "Complementary operator bundles defeat individual greedy selection",
      "status": "constructed_and_tested",
      "novelty_boundary": "Established non-submodular complementarity in this constructed setting",
      "assumptions": "Live operator budget matched; total selection compute is not matched",
      "manuscript": "Why individual branch novelty can fail",
      "implementation": [
        "emergence_rank",
        "run_experiments.py"
      ],
      "tests": [
        "test_emergence_requires_mixed_words"
      ]
    },
    {
      "id": "C10",
      "title": "CQW defines a distinct new RSI research class",
      "status": "unverified",
      "novelty_boundary": "Exact combined operational contract is candidate novelty",
      "assumptions": "Needs overlap analysis and shared-tool empirical separation",
      "manuscript": "Surviving candidate",
      "implementation": [
        "weave"
      ],
      "tests": []
    },
    {
      "id": "C11",
      "title": "Trained neural AXIOMESH implementation",
      "status": "not_implemented",
      "novelty_boundary": "Unassessed",
      "assumptions": "Blueprint only",
      "manuscript": "Approximate and native neural versions",
      "implementation": [],
      "tests": []
    },
    {
      "id": "C12",
      "title": "Sustained intelligence multiplication / recursive acceleration",
      "status": "not_demonstrated",
      "novelty_boundary": "Unassessed",
      "assumptions": "Requires equal-resource gains in next-discovery productivity",
      "manuscript": "Intelligence multiplication: a falsifiable hypothesis",
      "implementation": [],
      "tests": []
    },
    {
      "id": "C13",
      "title": "Data-only AI-agent adapter",
      "status": "implemented_and_tested",
      "novelty_boundary": "Distribution interface; no new scientific advantage claimed",
      "assumptions": "Small bounded inputs; no evidence oracle or model call",
      "manuscript": "docs/AGENT_SUPPORT.md",
      "implementation": [
        "agent_interface.py"
      ],
      "tests": [
        "test_explicit_observation_permits_compilation_and_fresh_recovery",
        "test_not_enough_surviving_shares_abstains"
      ]
    }
  ],
  "aggregate_evidence": {
    "source": "results/replication_summary.json",
    "seeds_are_rng_labels": true,
    "independent_neural_runs": 0
  },
  "next_decisive_test": "docs/EVALUATION_PROTOCOL.md"
}