Handbook
Forge Intelligence site and repository analysis for MathGenesis
Analysis date: 2026-07-22
Updated
Address resolution
The literal host supplied in the request, intelligence.forgesdl.com, was not reachable from the analysis environment. The authenticated source repositories identify the canonical custom domain as https://intelligence.forgesdlc.com and the Firebase site as forge-intelligence-handbook.
What the site actually is
The canonical site is the rendered handbook surface for the private forge-intelligence product. The writable source of truth is not the website:
autowww/forge-intelligenceowns product Markdown, problem-class packs, registries, policies, LMeta units, FI-local LCDL contracts, artifacts, and session records;autowww/forge-intelligence-websiteconsumes the parent repository as a submodule, renders narrative Markdown through kitchensink/forge-autodoc, and deploys static HTML to Firebase Hosting;- the site generator intentionally skips runtime trees such as
packs,lmeta,lcdl,schemas,sessions, and source code while publishing handbook-oriented Markdown.
Therefore, MathGenesis should generate repository-native, reviewable artifacts and let the existing handbook build publish selected narrative and wiki projections. It should not automate a browser form or mutate generated HTML.
Existing architecture that should be reused
Forge Intelligence already supplies a strong control plane:
- general and specific problem-class intelligence;
packs/<domain>/policy.yamlwith reasoning ladder, token caps, and closed allowed actions;- optional pack-level LMeta flows plus one LMeta unit per capability;
- FI-local intelligence contracts while generic primitives remain in
forge-lcdl; - typed artifact envelopes for all capability handoffs;
- a router that can activate multiple intelligences and a DAG composer with dependencies, parallel groups, and fan-in gates;
- maturity and allowlist gates with separate technical, autonomy, and evidence axes;
- machine-canonical session records and generated human reports with a freeze gate;
- paired LMeta semantic and LCDL execution wiki pages;
- general intelligences for reasoning, creativity, concept invention, experimentation, system modeling/simulation, and validation/verification.
The existing general.concept-invention intelligence is directly reusable. Its nine capabilities already cover conceptual-gap detection, examples and counterexamples, essential characteristics, contrast sets, definition candidates, designation, ontology integration, operationalization, and concept evolution.
Existing knowledge-module surface
Current versioned knowledge modules live under:
knowledge/
registry.yaml
modules/
The current schema requires module_id, version, effective_from, and jurisdiction, with optional source snapshots, formulas, decision tables, examples, exceptions, and invalid-use cases.
That shape is useful for changing factual modules but is too shallow to represent a mathematical invention civilization. It does not natively distinguish:
- primitive, axiom, definition, notation, theorem, proof, conjecture, counterexample, problem, solution, algorithm, representation, and invariant;
- source attribution from formal proof, finite testing, numerical convergence, or empirical support;
- exact prerequisite and dependency graphs;
- geometric constructions, orientation, and degeneracy;
- physical quantities, units, frames, initial/boundary conditions, approximation regimes, model-form uncertainty, and held-out evidence;
- learner-visible seed knowledge from hidden modern-reference knowledge;
- discovery staging, utility measurement, contamination audit, promotion, rejection, and historian comparison.
This pack therefore provides a compatibility wrapper and a recommended native schema/registry.
Runtime gap discovered during analysis
The current node executor is strong at envelope governance—input checking, fan-in, maturity gating, validator dispatch, artifact emission, and route tracing—but many LMeta units are still deterministic envelope emitters. Contract/runtime maturity does not by itself prove mathematical or physical correctness.
MathGenesis must add independent semantic validators and authenticated receipts before using strong statuses such as formally_verified, numerically_verified, or out_of_sample_validated.
Recommended new problem classes
| Problem class | Proposed intelligence | Job |
|---|---|---|
math/knowledge-ingest |
math.knowledge-curation |
Convert audited sources into typed library objects |
math/problem-formalize |
math.problem-formalization |
Normalize symbols, assumptions, goals, and representations |
math/proof-construct |
math.proof-engineering |
Build proof candidates and formal checker obligations |
math/concept-mine |
math.concept-discovery |
Mine recurring structures from verified episodes |
math/concept-promote |
math.library-governance |
Falsify, validate, deduplicate, measure, and govern promotion |
geometry/solve-verify |
math.geometry |
Synthetic, construction, coordinate, and algebraic geometry |
physics/model-test |
physics.model-discovery |
Unit-aware model construction, experiments, and regime validation |
math/curriculum-evolve |
math.curriculum-evolution |
Generate near-frontier problems without solution leakage |
math/historian-compare |
math.historian |
Post-freeze equivalence and bounded novelty assessment |
Non-negotiable library partitions
reference— established modern knowledge; visible only to curators, validators, and the isolated historian.learner_seed— minimal allowlisted primitives, axioms, constructions, and observation channels.curriculum— learner-visible problems and world interfaces; solutions and target labels withheld.discovery_staging— learner-generated candidates; untrusted by default.promoted_discovery— candidates that passed independent validation, utility, ontology, contamination, and policy gates.rejected— falsified, invalid, duplicate, overfit, contaminated, or evaluator-exploiting artifacts retained for learning.
No generation prompt should write directly to promoted_discovery. The promotion prompt emits a separate decision artifact, and ordinary governed repository tooling applies the accepted change.
Recommended rollout
- Add native schemas and validate the included examples.
- Use compatibility wrappers for the first reference batch.
- Add partition-scoped storage and retrieval before clean-room trials.
- Implement knowledge-ingest, geometry, physics, falsifier, and validation capabilities.
- Run Genesis-0 with a frozen learner snapshot and hidden historian target map.
- Add training-pair generation only from promoted or policy-eligible verified episodes.
- Publish handbook pages after semantic/execution wiki parity checks.