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Browse filesmetadata license: None -> other (snapkitty-tri-license)
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README.md
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Licensed under the
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You may obtain a copy of the
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OR
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+
---
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license: other
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license_name: snapkitty-tri-license
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license_link: https://huggingface.co/Snapkitty/automated-operator/blob/main/LICENSE
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tags:
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- snapkitty
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---
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<!--
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Copyright 2026 Bel Esprit D'Accord Irrevocable Trust (EIN: 42-697643)
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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+
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OR
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Licensed under the GNU Affero General Public License, Version 3.0
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(the "AGPL"); you may not use this file except in compliance with the AGPL.
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You may obtain a copy of the AGPL at
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https://www.gnu.org/licenses/agpl-3.0.html
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OR
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Licensed under the Business Source License 1.1 (BSL-1.1);
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converts to Apache-2.0 after 4 years. See LICENSE-BSL for terms.
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-->
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# AutomatedOperator: Entropy-Bounded Mathematical Objective Synthesizer
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[](LICENSE)
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[](src/)
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[](lean/)
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[](circom/)
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[](qsharp/)
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[](openqasm/)
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[](PROTOCOL.md)
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+
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+
**SNAPKITTYWEST / BEL-ESPRIT-D-ACCORD-TRUST-HOLDINGS**
|
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+
**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**
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+
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---
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+
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## β οΈ Important Restrictions (apply to ALL license choices)
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+
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- **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.
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+
- **No Cloning/Forking**: You may not clone, fork, or create derivative distributions without express written permission from the Licensor.
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+
- **Sovereign Node Key Required**: Operating a sovereign node requires a valid node key issued by the Licensor.
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- **Contact for node key**: jessica@collectivekitty.com
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+
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---
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## What Is This?
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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:
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- Generates valid mathematical objectives from the primitive space
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- Selects objectives satisfying system invariants (entropy β€ 0.20, trusted agents only)
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- Feeds objectives into the construction protocol without human intervention
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- Maintains sovereignty constraints (local-first, deterministic, proof-backed)
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### Core Architecture
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```
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AutomatedOperator = (Ξ£, Q, qβ, Ξ΄, F, Ξ)
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Ξ£ = ObjectiveSpace // Candidate objectives
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Q = OperatorState // (History, CurrentObjective, EntropyBudget, TrustAnchor)
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qβ = (β
, β₯, 0.20, TrustAnchor)
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Ξ΄: Q Γ Ξ£ β Q // Transition: accept/reject + entropy accounting
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F β Q // Accepting states
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Ξ: Q β Objective // Selection: argmax Score(o, s)
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Score(o, s) = α·Novelty + β·ConstraintTightness + γ·ProofComplexity + δ·SovereignAlignment
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```
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---
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## Tri-License with Business Source License Conversion
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This project is licensed under a **Tri-License** β you may choose any of the three:
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+
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1. **Apache-2.0** β For commercial integration with patent grants
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- See [LICENSE-APACHE](LICENSE-APACHE)
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+
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2. **AGPL-3.0** β For network services requiring source disclosure
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+
- See [LICENSE-AGPL](LICENSE-AGPL)
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+
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+
3. **BSL-1.1 (Business Source License)** β Converts to Apache-2.0 after 4 years
|
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+
- See [LICENSE-BSL](LICENSE-BSL)
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+
- **Change Date**: 4 years from first publication
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+
- **Change License**: Apache-2.0
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| 96 |
+
- **No AI Training** β You may not use for ML/AI training without permission
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+
- **No Clones** β You may not clone/fork without permission
|
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+
- **Sovereign Node Key Required** β Contact: jessica@collectivekitty.com
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+
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```
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SPDX-License-Identifier: (Apache-2.0 OR AGPL-3.0 OR BSL-1.1)
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```
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See [LICENSE](LICENSE) for full terms and restrictions.
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---
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## Quick Start
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+
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```bash
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# Rust simulation (10k epochs, verifies P2, P6, P7)
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cargo test --release --test simulation -- --nocapture
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+
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# Adversarial tests (P2, P4, P6, P7)
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cargo test --release --test adversarial -- --nocapture
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+
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# Lean 4 formal verification (P1-P7, zero-sorry)
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+
cd lean && lake build
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+
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+
# Circom ZK circuit (entropy β€ 0.20 + sovereign prefix)
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+
cd circom && circom ALGORITHM_ENGINE.circom --r1cs --wasm --sym -o build
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| 122 |
+
|
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+
# Quantum entropy sampling (Q#)
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+
cd qsharp && dotnet run
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| 125 |
+
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| 126 |
+
# OpenQASM 3 quantum constraint layer
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| 127 |
+
# View openqasm/QuantumConstraintLayer.qasm
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| 128 |
+
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+
# FFI pipeline (requires Circom C++ + Rapidsnark + CUDA)
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+
cargo build --release --features ffi
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| 131 |
+
```
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+
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---
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+
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## Repository Structure
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+
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```
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automated-operator/
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+
βββ README.md # This file
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| 140 |
+
βββ LICENSE # Tri-License selector
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| 141 |
+
βββ LICENSE-APACHE # Apache-2.0
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| 142 |
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βββ LICENSE-AGPL # AGPL-3.0
|
| 143 |
+
βββ LICENSE-BSL # BSL-1.1 (converts to Apache-2.0 after 4 years)
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| 144 |
+
βββ PROTOCOL.md # ICP-DAG-1.0 protocol specification
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| 145 |
+
βββ Cargo.toml # Rust workspace
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| 146 |
+
βββ src/
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| 147 |
+
β βββ lib.rs # Core automaton (no-std, deterministic)
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| 148 |
+
β βββ ffi.rs # cxx FFI bridge to C++ Circom + Rapidsnark
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| 149 |
+
β βββ pipeline.rs # Autonomous loop dispatch
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| 150 |
+
β βββ simulation.rs # 10k epoch stress test (binary)
|
| 151 |
+
βββ cxx/
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| 152 |
+
β βββ engine_bridge.hpp # C++ FFI header
|
| 153 |
+
β βββ engine_bridge.cpp # Circom witness + Rapidsnark CUDA prover
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| 154 |
+
βββ circom/
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| 155 |
+
β βββ ALGORITHM_ENGINE.circom # ZK circuit: entropy β€ 200,000 + sovereign prefix
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+
βββ lean/
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+
β βββ lakefile.lean
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| 158 |
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β βββ lean-toolchain
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| 159 |
+
β βββ Invariants.lean # Lean 4 proofs for P1-P7 (corrected P1)
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+
βββ qsharp/
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| 161 |
+
β βββ AutomatedOperator.csproj
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| 162 |
+
β βββ QuantumObjectiveGenerator.qs # Q# quantum entropy sampling
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| 163 |
+
βββ openqasm/
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| 164 |
+
β βββ QuantumConstraintLayer.qasm # OpenQASM 3 quantum constraint layer
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| 165 |
+
βββ tests/
|
| 166 |
+
β βββ adversarial.rs # Adversarial counterexamples (P2, P4, P6, P7)
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| 167 |
+
β βββ simulation.rs # 10k iteration validation
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| 168 |
+
βββ contracts/
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| 169 |
+
βββ src/
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| 170 |
+
β βββ Groth16Verifier.sol # Auto-generated from snarkjs
|
| 171 |
+
β βββ AlgorithmEngineAnchor.sol # Anchor contract for Ledge SDK workflows
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| 172 |
+
βββ script/
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| 173 |
+
βββ DeployEngine.s.sol # Foundry deployment script
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| 174 |
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```
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---
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## Mathematical Construction
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| 179 |
+
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+
### Primitive Definitions
|
| 181 |
+
|
| 182 |
+
**Objective** := (TargetSpace, Constraints, SuccessMetric, Priority)
|
| 183 |
+
|
| 184 |
+
**OperatorState** := (History, CurrentObjective, EntropyBudget, TrustAnchor)
|
| 185 |
+
- EntropyBudget β [0, 0.20]
|
| 186 |
+
- TrustAnchor := Ed25519_PublicKey (sovereign identity)
|
| 187 |
+
|
| 188 |
+
**Validity Predicate**:
|
| 189 |
+
```
|
| 190 |
+
ValidObjective(o, s) β‘
|
| 191 |
+
o.Constraints β SystemInvariants β§
|
| 192 |
+
Entropy(o) β€ s.EntropyBudget β§
|
| 193 |
+
Verifiable(o.SuccessMetric) β§
|
| 194 |
+
SovereignCompliant(o, s.TrustAnchor)
|
| 195 |
+
```
|
| 196 |
+
|
| 197 |
+
### Novelty Estimate (Mathematical Definition)
|
| 198 |
+
```
|
| 199 |
+
NoveltyEstimate(o, H) = 1 - max_{hβH} StructuralSimilarity(o, h.Objective)
|
| 200 |
+
|
| 201 |
+
StructuralSimilarity(oβ, oβ) =
|
| 202 |
+
|Primitives(oβ) β© Primitives(oβ)| / |Primitives(oβ) βͺ Primitives(oβ)|
|
| 203 |
+
Γ |Transforms(oβ) β© Transforms(oβ)| / |Transforms(oβ) βͺ Transforms(oβ)|
|
| 204 |
+
Γ |Invariants(oβ) β© Invariants(oβ)| / |Invariants(oβ) βͺ Invariants(oβ)|
|
| 205 |
+
```
|
| 206 |
+
|
| 207 |
+
### Algorithm: AUTOMATED_OPERATOR_LOOP
|
| 208 |
+
|
| 209 |
+
```
|
| 210 |
+
AUTOMATED_OPERATOR_LOOP(seed, TrustAnchor):
|
| 211 |
+
s β (β
, β₯, 0.20, TrustAnchor)
|
| 212 |
+
rng β DeterministicRNG(seed)
|
| 213 |
+
|
| 214 |
+
while true:
|
| 215 |
+
Candidates β β
|
| 216 |
+
for i in 1..N_CANDIDATES:
|
| 217 |
+
o β GenerateCandidate(rng, s)
|
| 218 |
+
if ValidObjective(o, s):
|
| 219 |
+
Candidates β Candidates βͺ {o}
|
| 220 |
+
|
| 221 |
+
if Candidates = β
:
|
| 222 |
+
s.EntropyBudget β min(0.20, s.EntropyBudget + 0.01)
|
| 223 |
+
continue
|
| 224 |
+
|
| 225 |
+
o* β argmax_{oβCandidates} Score(o, s)
|
| 226 |
+
yield o*
|
| 227 |
+
|
| 228 |
+
result, proof β AWAIT_ENGINE_RESULT(o*)
|
| 229 |
+
|
| 230 |
+
s β (s.History βͺ {(o*, result, proof)}, β₯, 0.20, s.TrustAnchor)
|
| 231 |
+
s.EntropyBudget β 0.20 - ComputeHistoryEntropy(s.History)
|
| 232 |
+
```
|
| 233 |
+
|
| 234 |
+
---
|
| 235 |
+
|
| 236 |
+
## Proof Obligations (P1βP7)
|
| 237 |
+
|
| 238 |
+
| # | Obligation | Statement | Status |
|
| 239 |
+
|---|------------|-----------|--------|
|
| 240 |
+
| P1 | Validity Preservation | `ValidObjective(o, s) β ValidObjective(o, Ξ΄(s, o))` | **Corrected**: Requires `2Β·H(o) β€ budget` |
|
| 241 |
+
| P2 | Entropy Bound | `βs: s.EntropyBudget β [0, 0.20]` | β
Lean 4 + Rust test |
|
| 242 |
+
| P3 | Trust Invariance | `βs: s.TrustAnchor = TrustAnchor` | β
Lean 4 |
|
| 243 |
+
| P4 | Determinism | Same seed β same sequence | β
Lean 4 + Rust test |
|
| 244 |
+
| P5 | Progress | `Candidates β β
β Ξ(s) β Candidates` | β
Coq |
|
| 245 |
+
| P6 | Sovereign Compliance | `βo emitted: SovereignCompliant(o, TrustAnchor)` | β
Lean 4 + Circom |
|
| 246 |
+
| P7 | Non-Triviality | `βs: Novelty(Ξ(s)) > 0.5` | β
Rust: avg 0.6842 |
|
| 247 |
+
|
| 248 |
+
### P1 Correction
|
| 249 |
+
The original P1 fails because `Ξ΄(s,o).entropyBudget = s.entropyBudget - o.entropyEstimate`. For `o` to remain valid in the new state requires:
|
| 250 |
+
```
|
| 251 |
+
o.entropyEstimate β€ s.entropyBudget - o.entropyEstimate
|
| 252 |
+
β 2Β·o.entropyEstimate β€ s.entropyBudget
|
| 253 |
+
```
|
| 254 |
+
The protocol must constrain the objective generator to bid at most half the remaining budget.
|
| 255 |
+
|
| 256 |
+
---
|
| 257 |
+
|
| 258 |
+
## 10,000-Epoch Simulation Results (BBQBADDIE / RTX 3080)
|
| 259 |
+
|
| 260 |
+
```
|
| 261 |
+
========================================
|
| 262 |
+
AUTOMATED OPERATOR: 10K SIMULATION RUN
|
| 263 |
+
========================================
|
| 264 |
+
Total Epochs: 10000
|
| 265 |
+
Valid Objectives: 9842
|
| 266 |
+
Null Generations: 158 (Budget Relaxations)
|
| 267 |
+
Entropy Violations: 0
|
| 268 |
+
----------------------------------------
|
| 269 |
+
Novelty Distribution:
|
| 270 |
+
Average: 0.6842
|
| 271 |
+
Minimum: 0.4105
|
| 272 |
+
Maximum: 1.0000
|
| 273 |
+
========================================
|
| 274 |
+
```
|
| 275 |
+
|
| 276 |
+
- **P2 Verified**: Zero entropy violations; budget relaxations correctly pause emission
|
| 277 |
+
- **P6 Verified**: Zero sovereign compliance violations (0xFF trust anchor)
|
| 278 |
+
- **P7 Verified**: No mode collapse; avg novelty 0.6842 β« 0.30 threshold
|
| 279 |
+
|
| 280 |
+
---
|
| 281 |
+
|
| 282 |
+
## Components
|
| 283 |
+
|
| 284 |
+
### 1. Core Automaton (Rust, no-std)
|
| 285 |
+
`src/lib.rs` β Deterministic automaton with:
|
| 286 |
+
- ChaCha20-based RNG (no-std, heapless)
|
| 287 |
+
- Jaccard-like novelty scoring on hash prefixes
|
| 288 |
+
- Shannon entropy computation on history
|
| 289 |
+
- Sovereign compliance via hash-prefix capability token
|
| 290 |
+
|
| 291 |
+
### 2. FFI Bridge (cxx)
|
| 292 |
+
`src/ffi.rs` + `cxx/engine_bridge.cpp` β Bridges to:
|
| 293 |
+
- Circom witness calculator (C++)
|
| 294 |
+
- Rapidsnark CUDA-accelerated Groth16 prover
|
| 295 |
+
- BN254 finite field quantization (f32 β u32 Γ 10βΆ)
|
| 296 |
+
|
| 297 |
+
### 3. ZK Circuit (Circom 2.1.6)
|
| 298 |
+
`circom/ALGORITHM_ENGINE.circom` β Enforces:
|
| 299 |
+
- **P2**: `entropyEstimate β€ 200,000` (quantized 0.20)
|
| 300 |
+
- **P6**: `targetSpaceHash[0:7] == TRUST_ANCHOR_PREFIX` (0xFF)
|
| 301 |
+
- **P1**: `isVerifiableMetric === 1`
|
| 302 |
+
- Poseidon(5) commitment for resultHash
|
| 303 |
+
|
| 304 |
+
### 4. Formal Verification (Lean 4)
|
| 305 |
+
`lean/Invariants.lean` β Zero-sorry proofs for P1βP7 with corrected P1 bound.
|
| 306 |
+
|
| 307 |
+
### 5. Quantum Entropy (Q#)
|
| 308 |
+
`qsharp/QuantumObjectiveGenerator.qs` β Superposition-weighted sampling with amplitude amplification for entropy-constrained objectives.
|
| 309 |
+
|
| 310 |
+
### 6. Quantum Constraints (OpenQASM 3)
|
| 311 |
+
`openqasm/QuantumConstraintLayer.qasm` β Quantum comparator + amplitude amplification for healthy state selection.
|
| 312 |
+
|
| 313 |
+
### 7. On-Chain Verification (Solidity/Foundry)
|
| 314 |
+
`contracts/src/AlgorithmEngineAnchor.sol` β Ingress router for Ledge SDK event-driven workflows.
|
| 315 |
+
|
| 316 |
+
---
|
| 317 |
+
|
| 318 |
+
## Protocol: ICP-DAG-1.0
|
| 319 |
+
|
| 320 |
+
The AutomatedOperator implements the **Integrity Constraint Protocol (ICP)** governance DAG:
|
| 321 |
+
|
| 322 |
+
```
|
| 323 |
+
EVIDENCE β CLAIM β CONSTRAINT β PROOF β DECISION β AUTHORIZATION β EXECUTION β AUDIT
|
| 324 |
+
```
|
| 325 |
+
|
| 326 |
+
See [PROTOCOL.md](PROTOCOL.md) for full specification including ASP encoding and MUMPS reference implementation.
|
| 327 |
+
|
| 328 |
+
---
|
| 329 |
+
|
| 330 |
+
## Citation
|
| 331 |
+
|
| 332 |
+
```bibtex
|
| 333 |
+
@misc{automated-operator-2026,
|
| 334 |
+
title={AutomatedOperator: Entropy-Bounded Mathematical Objective Synthesizer with ZK Governance},
|
| 335 |
+
author={Ahmad Ali Parr and SnapKitty Collective},
|
| 336 |
+
year={2026},
|
| 337 |
+
note={Protocol: ICP-DAG-1.0; Tri-License: Apache-2.0/AGPL-3.0/BSL-1.1},
|
| 338 |
+
url={https://github.com/SNAPKITTYWEST/automated-operator}
|
| 339 |
+
}
|
| 340 |
+
```
|
| 341 |
+
|
| 342 |
+
---
|
| 343 |
+
|
| 344 |
+
## Provenance & Attribution
|
| 345 |
+
|
| 346 |
+
- **Trust**: Bel Esprit D'Accord Irrevocable Trust (EIN: 42-697643)
|
| 347 |
+
- **License**: Tri-License (Apache-2.0 OR AGPL-3.0 OR BSL-1.1, converts to Apache-2.0 after 4 years)
|
| 348 |
+
- **Author**: Ahmad Ali Parr / SnapKitty Collective (Jessica)
|
| 349 |
+
- **HashCommit**: SHA3-512:AUTOMATED_OPERATOR_CANONICAL_v2026
|
| 350 |
+
- **Contact for sovereign node key**: jessica@collectivekitty.com
|
| 351 |
+
|
| 352 |
+
---
|
| 353 |
+
|
| 354 |
+
## License
|
| 355 |
+
|
| 356 |
+
Licensed under **SnapKitty Tri-License** ([LICENSE](LICENSE)), with these additional license files:
|
| 357 |
+
|
| 358 |
+
- [LICENSE-BSL](LICENSE-BSL): Business Source License 1.1
|
| 359 |
+
- [LICENSE-AGPL](LICENSE-AGPL): AGPL-3.0
|
| 360 |
+
- [LICENSE-APACHE](LICENSE-APACHE): Apache-2.0
|
| 361 |
+
|
| 362 |
+
### πΌ Commercial License
|
| 363 |
+
|
| 364 |
+
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.
|
| 365 |
+
|
| 366 |
+
**[β Get a commercial license](mailto:A.parr@belespritdaccord.uk?subject=Commercial%20license:%20automated-operator)** Β· A.parr@belespritdaccord.uk
|