1) Architecture (recommended)
L0 — UPA Core (axioms)
- Canonical spec (your A1–A15) in machine-readable form (e.g., JSON/ASN.1 + optional DSL).
- Provides symbols, semantics, and invariants.
- Versioned; small, stable.
L1 — UPA Theorem Library (derived rules/patterns)
- Machine-checkable theorems and design patterns derived from axioms.
- Includes proof artifacts or test oracles (for lightweight stacks).
- Tagged by domains: perception, planning, dialogue, governance, etc.
L2 — UPA Services (guardrails & planners)
- Runtime services that apply axioms/theorems as guards, routers, mappers, and integrators:
- A7 Context Router
- A11 Recursive Integrator
- A12 Cross-Axis Coherence Checker
- A15 Harmony Estimator
- Offer clean APIs/SDKs; handle policy, caching, telemetry, proofs.
L3 — Application Adapters
- Domain-specific wrappers (chat, vision, orchestration, governance).
- Expose capabilities (“contextual routing”, “deliberation”, “transparency”) instead of axiom primitives.
L4 — Apps & Objects
- Use capabilities from L2/L3.
- Optionally get read-only reflection into axiom/theorem usage for explainability or optimization.
2) Exposure policy (when to surface axioms/theorems)
Default: indirect via services.
Expose directly only when needed for:
- Planning/Reasoning modules (agents, compilers, schedulers)
- They benefit from theorem-level hooks (e.g., A7/A11 operators).
- Explainability & audit (regulatory, safety)
- Objects/apps can retrieve “why” via an Explanation API:
- GET /explanations/{decision} → cites (A7, Thm-7.12, A15) with inputs/outputs.
- Third-party extensions/plugins
- Provide a Theorem Registry API and Guardrail SDK so partners can register new context mappers that must prove or test conformance to A1–A15.
- Research mode
- Full symbolic access for prototyping; gated in production.
3) Practical interface sketch
Axiom/Thm Registry (read-mostly):
GET /axioms # list A1..A15 (symbol, defn, version)
GET /axioms/A7 # details + machine schema
GET /theorems?axiom=A7 # derived theorems under A7
GET /theorems/Thm-7.12 # formal spec + pre/postconditions
Service layer (capabilities):
POST /context/route # A7 router
# input: {signal, task, constraints}
# output: {selected_pole, confidence, proof_ref}
POST /integration/compose # A11 recursive integrator
# input: {levels:[…], policies:[…]}
# output: {plan, invariants_satisfied:[A11,A12], proof_ref}
POST /coherence/check # A12 cross-axis coherence
# input: {axes, config}
# output: {violations:[…], fix_suggestions, score}
POST /harmony/score # A15 estimator
# input: {state, axes}
# output: {harmony_score, limiting_axes}
Explainability (reflection):
GET /explanations/{decisionId}
# returns {used_axioms:[A7,A11], theorems:[Thm-7.12], context, traces}
4) Object-level annotations (optional exposure in code)
Use guards and contracts rather than raw axioms:
@AxiomGuard(“A7”) // ensures context-aware selection
@CoherenceRequired(“A12”) // rejects configs that break cross-axis constraints
@ProducesHarmony(“A15>=0.7”)// SLO: harmony score threshold
function plan(…) { … }
5) Governance & versioning
- SemVer for axioms (rarely change); theorems can evolve faster.
- Proof/Oracle modes: formal proofs where feasible; otherwise strong tests/monitors.
- Policy bundles: per-domain theorem sets (e.g., “Dialogues-v3”).
- Telemetry: log axiom/theorem usage with hashes for audit.
6) Examples (how this feels in practice)
- A7 Context Modulation: Service decides which policy/model to invoke given task + signals; app only sees “best policy + reason”.
- A11 Recursive Integration: Service composes subplans across layers (edge → service → cloud) while enforcing integrative invariants.
- A12 Multi-Axis Coherence: Pre-deployment checker blocks configs that maximize one axis (latency) while catastrophically harming another (safety).
This provides clean DX for builders, strong guarantees for safety/consistency, and transparent reasoning when needed—without forcing every app to become a theorem prover.
Open Autonomous Intelligence Initiative 