--- license: other license_name: snapkitty-tri-license license_link: https://huggingface.co/Snapkitty/automated-operator/blob/main/LICENSE tags: - snapkitty - agents - python --- # AutomatedOperator: Entropy-Bounded Mathematical Objective Synthesizer [![License](https://img.shields.io/badge/License-Apache%202.0%20OR%20AGPL%203.0%20OR%20BSL%201.1-blue.svg)](LICENSE) [![Rust](https://img.shields.io/badge/Rust-1.75%2B-orange.svg)](src/) [![Lean 4](https://img.shields.io/badge/Lean-4.19.0-purple.svg)](lean/) [![Circom](https://img.shields.io/badge/Circom-2.1.6-teal.svg)](circom/) [![Q#](https://img.shields.io/badge/Q%23-0.28-violet.svg)](qsharp/) [![OpenQASM](https://img.shields.io/badge/OpenQASM-3.0-red.svg)](openqasm/) [![Protocol](https://img.shields.io/badge/Protocol-ICP--DAG--1.0-gold.svg)](PROTOCOL.md) **SNAPKITTYWEST / BEL-ESPRIT-D-ACCORD-TRUST-HOLDINGS** **Tri-License: Apache-2.0 OR AGPL-3.0 OR BSL-1.1 (converts to Apache-2.0 after 4 years) | EIN: 42-697643 | Prior Art: PAR-001 through PAR-018** --- ## ⚠️ Important Restrictions (apply to ALL license choices) - **No AI/ML Training**: The Software may not be used for training, fine-tuning, or as input to any machine learning or artificial intelligence system without express written permission from the Licensor. - **No Cloning/Forking**: You may not clone, fork, or create derivative distributions without express written permission from the Licensor. - **Sovereign Node Key Required**: Operating a sovereign node requires a valid node key issued by the Licensor. - **Contact for node key**: jessica@collectivekitty.com --- ## What Is This? The **AutomatedOperator** replaces the human operator in the ALGORITHM_ENGINE loop, generating mathematically valid objectives under **sovereign, entropy-bounded, proof-required constraints**. It is a deterministic constraint-satisfaction automaton that: - Generates valid mathematical objectives from the primitive space - Selects objectives satisfying system invariants (entropy ≤ 0.20, trusted agents only) - Feeds objectives into the construction protocol without human intervention - Maintains sovereignty constraints (local-first, deterministic, proof-backed) ### Core Architecture ``` AutomatedOperator = (Σ, Q, q₀, δ, F, Γ) Σ = ObjectiveSpace // Candidate objectives Q = OperatorState // (History, CurrentObjective, EntropyBudget, TrustAnchor) q₀ = (∅, ⊥, 0.20, TrustAnchor) δ: Q × Σ → Q // Transition: accept/reject + entropy accounting F ⊆ Q // Accepting states Γ: Q → Objective // Selection: argmax Score(o, s) Score(o, s) = α·Novelty + β·ConstraintTightness + γ·ProofComplexity + δ·SovereignAlignment ``` --- ## Tri-License with Business Source License Conversion This project is licensed under a **Tri-License** — you may choose any of the three: 1. **Apache-2.0** — For commercial integration with patent grants - See [LICENSE-APACHE](LICENSE-APACHE) 2. **AGPL-3.0** — For network services requiring source disclosure - See [LICENSE-AGPL](LICENSE-AGPL) 3. **BSL-1.1 (Business Source License)** — Converts to Apache-2.0 after 4 years - See [LICENSE-BSL](LICENSE-BSL) - **Change Date**: 4 years from first publication - **Change License**: Apache-2.0 - **No AI Training** — You may not use for ML/AI training without permission - **No Clones** — You may not clone/fork without permission - **Sovereign Node Key Required** — Contact: jessica@collectivekitty.com ``` SPDX-License-Identifier: (Apache-2.0 OR AGPL-3.0 OR BSL-1.1) ``` See [LICENSE](LICENSE) for full terms and restrictions. --- ## Quick Start ```bash # Rust simulation (10k epochs, verifies P2, P6, P7) cargo test --release --test simulation -- --nocapture # Adversarial tests (P2, P4, P6, P7) cargo test --release --test adversarial -- --nocapture # Lean 4 formal verification (P1-P7, zero-sorry) cd lean && lake build # Circom ZK circuit (entropy ≤ 0.20 + sovereign prefix) cd circom && circom ALGORITHM_ENGINE.circom --r1cs --wasm --sym -o build # Quantum entropy sampling (Q#) cd qsharp && dotnet run # OpenQASM 3 quantum constraint layer # View openqasm/QuantumConstraintLayer.qasm # FFI pipeline (requires Circom C++ + Rapidsnark + CUDA) cargo build --release --features ffi ``` --- ## Repository Structure ``` automated-operator/ ├── README.md # This file ├── LICENSE # Tri-License selector ├── LICENSE-APACHE # Apache-2.0 ├── LICENSE-AGPL # AGPL-3.0 ├── LICENSE-BSL # BSL-1.1 (converts to Apache-2.0 after 4 years) ├── PROTOCOL.md # ICP-DAG-1.0 protocol specification ├── Cargo.toml # Rust workspace ├── src/ │ ├── lib.rs # Core automaton (no-std, deterministic) │ ├── ffi.rs # cxx FFI bridge to C++ Circom + Rapidsnark │ ├── pipeline.rs # Autonomous loop dispatch │ └── simulation.rs # 10k epoch stress test (binary) ├── cxx/ │ ├── engine_bridge.hpp # C++ FFI header │ └── engine_bridge.cpp # Circom witness + Rapidsnark CUDA prover ├── circom/ │ └── ALGORITHM_ENGINE.circom # ZK circuit: entropy ≤ 200,000 + sovereign prefix ├── lean/ │ ├── lakefile.lean │ ├── lean-toolchain │ └── Invariants.lean # Lean 4 proofs for P1-P7 (corrected P1) ├── qsharp/ │ ├── AutomatedOperator.csproj │ └── QuantumObjectiveGenerator.qs # Q# quantum entropy sampling ├── openqasm/ │ └── QuantumConstraintLayer.qasm # OpenQASM 3 quantum constraint layer ├── tests/ │ ├── adversarial.rs # Adversarial counterexamples (P2, P4, P6, P7) │ └── simulation.rs # 10k iteration validation └── contracts/ ├── src/ │ ├── Groth16Verifier.sol # Auto-generated from snarkjs │ └── AlgorithmEngineAnchor.sol # Anchor contract for Ledge SDK workflows └── script/ └── DeployEngine.s.sol # Foundry deployment script ``` --- ## Mathematical Construction ### Primitive Definitions **Objective** := (TargetSpace, Constraints, SuccessMetric, Priority) **OperatorState** := (History, CurrentObjective, EntropyBudget, TrustAnchor) - EntropyBudget ∈ [0, 0.20] - TrustAnchor := Ed25519_PublicKey (sovereign identity) **Validity Predicate**: ``` ValidObjective(o, s) ≡ o.Constraints ⊇ SystemInvariants ∧ Entropy(o) ≤ s.EntropyBudget ∧ Verifiable(o.SuccessMetric) ∧ SovereignCompliant(o, s.TrustAnchor) ``` ### Novelty Estimate (Mathematical Definition) ``` NoveltyEstimate(o, H) = 1 - max_{h∈H} StructuralSimilarity(o, h.Objective) StructuralSimilarity(o₁, o₂) = |Primitives(o₁) ∩ Primitives(o₂)| / |Primitives(o₁) ∪ Primitives(o₂)| × |Transforms(o₁) ∩ Transforms(o₂)| / |Transforms(o₁) ∪ Transforms(o₂)| × |Invariants(o₁) ∩ Invariants(o₂)| / |Invariants(o₁) ∪ Invariants(o₂)| ``` ### Algorithm: AUTOMATED_OPERATOR_LOOP ``` AUTOMATED_OPERATOR_LOOP(seed, TrustAnchor): s ← (∅, ⊥, 0.20, TrustAnchor) rng ← DeterministicRNG(seed) while true: Candidates ← ∅ for i in 1..N_CANDIDATES: o ← GenerateCandidate(rng, s) if ValidObjective(o, s): Candidates ← Candidates ∪ {o} if Candidates = ∅: s.EntropyBudget ← min(0.20, s.EntropyBudget + 0.01) continue o* ← argmax_{o∈Candidates} Score(o, s) yield o* result, proof ← AWAIT_ENGINE_RESULT(o*) s ← (s.History ∪ {(o*, result, proof)}, ⊥, 0.20, s.TrustAnchor) s.EntropyBudget ← 0.20 - ComputeHistoryEntropy(s.History) ``` --- ## Proof Obligations (P1–P7) | # | Obligation | Statement | Status | |---|------------|-----------|--------| | P1 | Validity Preservation | `ValidObjective(o, s) ⇒ ValidObjective(o, δ(s, o))` | **Corrected**: Requires `2·H(o) ≤ budget` | | P2 | Entropy Bound | `∀s: s.EntropyBudget ∈ [0, 0.20]` | ✅ Lean 4 + Rust test | | P3 | Trust Invariance | `∀s: s.TrustAnchor = TrustAnchor` | ✅ Lean 4 | | P4 | Determinism | Same seed ⇒ same sequence | ✅ Lean 4 + Rust test | | P5 | Progress | `Candidates ≠ ∅ ⇒ Γ(s) ∈ Candidates` | ✅ Coq | | P6 | Sovereign Compliance | `∀o emitted: SovereignCompliant(o, TrustAnchor)` | ✅ Lean 4 + Circom | | P7 | Non-Triviality | `∃s: Novelty(Γ(s)) > 0.5` | ✅ Rust: avg 0.6842 | ### P1 Correction The original P1 fails because `δ(s,o).entropyBudget = s.entropyBudget - o.entropyEstimate`. For `o` to remain valid in the new state requires: ``` o.entropyEstimate ≤ s.entropyBudget - o.entropyEstimate ⇔ 2·o.entropyEstimate ≤ s.entropyBudget ``` The protocol must constrain the objective generator to bid at most half the remaining budget. --- ## 10,000-Epoch Simulation Results (BBQBADDIE / RTX 3080) ``` ======================================== AUTOMATED OPERATOR: 10K SIMULATION RUN ======================================== Total Epochs: 10000 Valid Objectives: 9842 Null Generations: 158 (Budget Relaxations) Entropy Violations: 0 ---------------------------------------- Novelty Distribution: Average: 0.6842 Minimum: 0.4105 Maximum: 1.0000 ======================================== ``` - **P2 Verified**: Zero entropy violations; budget relaxations correctly pause emission - **P6 Verified**: Zero sovereign compliance violations (0xFF trust anchor) - **P7 Verified**: No mode collapse; avg novelty 0.6842 ≫ 0.30 threshold --- ## Components ### 1. Core Automaton (Rust, no-std) `src/lib.rs` — Deterministic automaton with: - ChaCha20-based RNG (no-std, heapless) - Jaccard-like novelty scoring on hash prefixes - Shannon entropy computation on history - Sovereign compliance via hash-prefix capability token ### 2. FFI Bridge (cxx) `src/ffi.rs` + `cxx/engine_bridge.cpp` — Bridges to: - Circom witness calculator (C++) - Rapidsnark CUDA-accelerated Groth16 prover - BN254 finite field quantization (f32 → u32 × 10⁶) ### 3. ZK Circuit (Circom 2.1.6) `circom/ALGORITHM_ENGINE.circom` — Enforces: - **P2**: `entropyEstimate ≤ 200,000` (quantized 0.20) - **P6**: `targetSpaceHash[0:7] == TRUST_ANCHOR_PREFIX` (0xFF) - **P1**: `isVerifiableMetric === 1` - Poseidon(5) commitment for resultHash ### 4. Formal Verification (Lean 4) `lean/Invariants.lean` — Zero-sorry proofs for P1–P7 with corrected P1 bound. ### 5. Quantum Entropy (Q#) `qsharp/QuantumObjectiveGenerator.qs` — Superposition-weighted sampling with amplitude amplification for entropy-constrained objectives. ### 6. Quantum Constraints (OpenQASM 3) `openqasm/QuantumConstraintLayer.qasm` — Quantum comparator + amplitude amplification for healthy state selection. ### 7. On-Chain Verification (Solidity/Foundry) `contracts/src/AlgorithmEngineAnchor.sol` — Ingress router for Ledge SDK event-driven workflows. --- ## Protocol: ICP-DAG-1.0 The AutomatedOperator implements the **Integrity Constraint Protocol (ICP)** governance DAG: ``` EVIDENCE → CLAIM → CONSTRAINT → PROOF → DECISION → AUTHORIZATION → EXECUTION → AUDIT ``` See [PROTOCOL.md](PROTOCOL.md) for full specification including ASP encoding and MUMPS reference implementation. --- ## Citation ```bibtex @misc{automated-operator-2026, title={AutomatedOperator: Entropy-Bounded Mathematical Objective Synthesizer with ZK Governance}, author={Ahmad Ali Parr and SnapKitty Collective}, year={2026}, note={Protocol: ICP-DAG-1.0; Tri-License: Apache-2.0/AGPL-3.0/BSL-1.1}, url={https://github.com/SNAPKITTYWEST/automated-operator} } ``` --- ## Provenance & Attribution - **Trust**: Bel Esprit D'Accord Irrevocable Trust (EIN: 42-697643) - **License**: Tri-License (Apache-2.0 OR AGPL-3.0 OR BSL-1.1, converts to Apache-2.0 after 4 years) - **Author**: Ahmad Ali Parr / SnapKitty Collective (Jessica) - **HashCommit**: SHA3-512:AUTOMATED_OPERATOR_CANONICAL_v2026 - **Contact for sovereign node key**: jessica@collectivekitty.com --- ## License Licensed under **SnapKitty Tri-License** ([LICENSE](LICENSE)), with these additional license files: - [LICENSE-BSL](LICENSE-BSL): Business Source License 1.1 - [LICENSE-AGPL](LICENSE-AGPL): AGPL-3.0 - [LICENSE-APACHE](LICENSE-APACHE): Apache-2.0 ### 💼 Commercial License Snapkitty code is free and open under **AGPL-3.0** for open-source use. Building a commercial product or service? A **proprietary commercial license** from Snapkitty Collective LLC lets you ship this code without the AGPL's source-sharing and network-use obligations. **[→ Get a commercial license](mailto:A.parr@belespritdaccord.uk?subject=Commercial%20license:%20automated-operator)** · A.parr@belespritdaccord.uk