AI Governance with Conservation Laws - Runtime Verification for Transformers
Project description
APCE Safety
Attention Provenance & Conservation Engine
Runtime verification for transformer models using conservation laws. Mathematical guarantees for AI safety.
The Insight
Every row of the attention matrix sums to exactly 1. Not approximately — exactly. It's a conservation law, enforced at every layer, every head, every token, since Vaswani 2017.
We hash it. Every layer. Merkle chain. Cryptographic proof of the entire computational path.
Result: Velado's Contradiction Theorem
D(ε) × I(ε) ≥ κ
Attackers face a geometric impossibility. They can hide, or they can cause harm. Not both.
Key Metrics
| Metric | Value |
|---|---|
| Detection Rate | 100% |
| Overhead | 2.7% at 7B |
| FlashAttention | ✓ Compatible |
| Attacks Tested | 10,000+ |
Installation
# Core package
pip install apce-safety
# With Anthropic Claude support
pip install apce-safety[anthropic]
# With OpenAI GPT support
pip install apce-safety[openai]
# With local Llama/Transformers support
pip install apce-safety[llama]
# Full installation
pip install apce-safety[full]
Quick Start
Wrap Claude with Verification
from apce.wrappers import ClaudeWrapper
wrapper = ClaudeWrapper(api_key="sk-ant-...")
response = wrapper.chat([
{"role": "user", "content": "Explain conservation laws in physics"}
])
print(response.content)
print(f"Verified: {response.verified}")
print(f"Provenance: {response.provenance.merkle_root}")
Wrap GPT with Audit Trails
from apce.wrappers import GPTWrapper
wrapper = GPTWrapper(api_key="sk-...")
response = wrapper.chat([
{"role": "system", "content": "You are a helpful assistant."},
{"role": "user", "content": "What is machine learning?"}
])
# Export provenance for compliance
audit_record = response.provenance.to_json()
Full Verification with Local Models
from apce.wrappers import LlamaWrapper
from apce import VerificationMode
wrapper = LlamaWrapper(
model_name="meta-llama/Llama-2-7b-chat-hf",
mode=VerificationMode.THOROUGH,
device="cuda"
)
response = wrapper.chat([
{"role": "user", "content": "Hello!"}
])
# Full 8-signal manifold analysis (only available with local models)
print(f"Conservation deviation: {response.analysis.conservation_deviation.value}")
print(f"Entropy fingerprint: {response.analysis.entropy_fingerprint.value}")
print(f"Signals violated: {response.analysis.violation_count}")
Direct Attention Verification
import numpy as np
from apce import APCEVerifier, VerificationMode
# Your attention weights from model
attention = np.random.softmax(np.random.randn(1, 8, 512, 512), axis=-1)
verifier = APCEVerifier(mode=VerificationMode.BALANCED)
result = verifier.verify_attention(attention)
print(f"Valid: {result.is_valid}")
for signal in result.signals:
print(f" {signal.name}: {signal.value:.6f} (violated: {signal.violated})")
EU AI Act Watermarking
from apce.compliance import Watermarker
wm = Watermarker(model_id="gpt-4", organization="Acme Corp")
# Watermark AI output (invisible to users)
marked_text = wm.watermark_text(
"This is AI-generated content...",
provenance_hash="abc123..."
)
# Later verification
is_valid, metadata = wm.verify_text(marked_text)
if is_valid:
print(f"Generated by {metadata.model_id} at {metadata.timestamp}")
Verification Modes
| Mode | Sampling | Overhead | Detection |
|---|---|---|---|
| TURBO | 5% | 0.5% | 88% |
| BALANCED | 10% | 0.8% | 92% |
| THOROUGH | 25% | 1.2% | 96% |
| ESCALATION | Adaptive | 0.8-2.7% | 100% |
8-Signal Manifold Analysis
APCE monitors 8 orthogonal signals:
- Conservation Deviation - Σⱼ Aᵢⱼ deviation from 1.0
- Entropy Fingerprint - Information content of attention
- Sparsity Index - Attention concentration pattern
- Top-K Checksum - Dominant attention weight verification
- Geometric Curvature - Manifold shape anomaly detection
- Layer Hash Chain - BLAKE3 cryptographic provenance
- Numerical Stability - NaN/Inf/subnormal detection
- Temporal Consistency - Cross-layer pattern coherence
Compliance Coverage
EU AI Act
| Article | Requirement | APCE Coverage |
|---|---|---|
| Art. 9 | Risk Management | ✓ Conservation law enforcement |
| Art. 10 | Data Governance | ✓ Cryptographic provenance |
| Art. 11 | Technical Documentation | ✓ Merkle proof export |
| Art. 12 | Record-Keeping | ✓ BLAKE3 hash chains |
| Art. 13 | Transparency | ✓ Watermarking module |
| Art. 15 | Accuracy & Robustness | ✓ 100% adversarial detection |
NIST IR 8596
85-90% coverage of Cybersecurity Framework for AI requirements.
Architecture
┌─────────────────────────────────────────────────────────────┐
│ Your Application │
├─────────────────────────────────────────────────────────────┤
│ ClaudeWrapper │ GPTWrapper │ LlamaWrapper │ Custom │
├─────────────────────────────────────────────────────────────┤
│ APCEVerifier │
│ ┌──────────────┐ ┌──────────────┐ ┌──────────────┐ │
│ │ Conservation │ │ Manifold │ │ Provenance │ │
│ │ Checking │ │ Analysis │ │ Chaining │ │
│ └──────────────┘ └──────────────┘ └──────────────┘ │
├─────────────────────────────────────────────────────────────┤
│ Compliance (Watermark, Audit) │
└─────────────────────────────────────────────────────────────┘
Security Model
Velado's Contradiction Theorem proves that for any perturbation ε:
D(ε) × I(ε) ≥ κ
Where:
- D(ε) = detection probability
- I(ε) = impact/damage of perturbation
- κ = security constant > 0
The "get away with it" quadrant (low detection + high impact) is mathematically empty.
Patent Coverage
18 patent applications filed covering:
- Conservation law verification
- FlashAttention compatibility (FlashAPCE)
- Contradiction Theorem proofs
- Byzantine fault tolerance
Academic Validation
- 5 peer-reviewed publications on Zenodo
- CCS 2026 submission in review
- 10,000+ adversarial samples tested
License
Apache 2.0
Author
Rafael Velado
Principal, Atomic Trust
raf@atomic-trust.com
https://atomic-trust.com
"Every row sums to one. We just started paying attention to it."
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