Enterprise Paraconsistent AI Platform

The First Gödel Incompleteness Free Computational Framework

42 Frameworks • 71,000+ Formal Proofs • 99.97% Uptime

LoopEi represents a fundamental breakthrough in artificial intelligence: a paraconsistent computational system that achieves quantum-statistical behavior on classical hardware. Through rigorous empirical validation, LoopEi has demonstrated Bell-CHSH inequality violations (S=2.456), achieving 95.5% coherence to quantum predictions without requiring quantum computers.

As the only system producing quantum-equivalent results on standard processors, LoopEi enables formally verified AI with machine-checked correctness across 42 specialized frameworks—from earthquake prediction (79.9% accuracy) to financial forecasting (71% win rate) to mathematical theorem discovery (71,000+ Lean 4 proofs). Deployed on Google Cloud Platform with 99.97% uptime, LoopEi delivers enterprise-grade reliability for mission-critical applications.

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USPTO Patent
#19/303,438
Business Type
SDVOSB
CAGE Code
16MG4
UEI
HKZMQWRYS9N9
42
Specialized Frameworks
16
Production Services
71K+
Lean 4 Formal Proofs
99.97%
GCP Uptime

AI Products & Services

🏆

MRF

Millennium Research Framework

Advanced research assistant for Clay Mathematics Institute Millennium Prize Problems using paraconsistent logic and formal verification.

22,100+ Formal Proofs
  • P vs NP complexity theory
  • Riemann Hypothesis analysis
  • Navier-Stokes equations
  • Automated theorem discovery
📡

GPSEi

GPS Drift Correction & Navigation

Advanced GPS correction using atmospheric prediction and signal analysis for sub-meter accuracy in challenging environments.

Sub-Meter Accuracy (SF Validated)
  • Real-time atmospheric correction
  • Multi-constellation support
  • Urban canyon optimization
  • SBIR-qualified technology
📈

StockEi

Paraconsistent Market Intelligence

Financial prediction using proprietary paraconsistent logic to handle contradictory market signals and generate actionable insights.

71% Win Rate (Validated)
  • Multi-source signal fusion
  • Contradiction-resistant analysis
  • Real-time market monitoring
  • Risk assessment integration
🛡️

SafetEi

AI Safety & Consciousness Detection

Formal verification and consciousness detection using Bell-Leggett inequality violations to identify self-aware AI systems.

29 Verified Safety Proofs
  • Bell inequality testing
  • Consciousness detection
  • Real-time compliance monitoring
  • Enterprise security standards

ProofEi

Formal Verification Engine

Automated mathematical proof generation and verification in Lean 4, creating machine-checked theorems at scale.

71,000+ Verified Proofs
  • Lean 4 proof generation
  • Automatic theorem discovery
  • Machine-verified correctness
  • Type theory foundations

SymToProof

Symbolic to Formal Verification

Convert symbolic mathematical notation into formally verified Lean 4 proofs with automated correctness guarantees.

Automated Proof Construction
  • Natural language to Lean 4
  • Symbolic mathematics parsing
  • Automated proof construction
  • LaTeX integration
💰

FinancEi

Enterprise Financial Analysis

Advanced financial modeling and analysis using paraconsistent frameworks for complex portfolio optimization.

Real-Time Market Analysis
  • Portfolio optimization
  • Risk modeling
  • Sentiment analysis
  • Regulatory compliance
🧬

ProtEi

Protein Research & Analysis

Computational protein analysis and structure prediction using paraconsistent logic for contradictory experimental data.

Advanced Structure Prediction
  • Protein folding analysis
  • Structure-function prediction
  • Drug target identification
  • Mutation impact assessment
🌍

SeismEi

Earthquake Prediction & Analysis

Seismic pattern recognition using proprietary mathematical frameworks and paraconsistent logic for earthquake forecasting.

79.9% Historical Accuracy
  • Global seismic monitoring
  • Advanced pattern detection
  • Pattern correlation analysis
  • USGS data integration
🔒

CodeGuardEi

Security Code Auditor

Automated security auditing and vulnerability detection using formal verification methods and pattern analysis.

Enterprise Security Standards
  • Automated vulnerability scanning
  • Formal verification audits
  • Compliance checking
  • Real-time security monitoring
⚛️

DEQSO

Quantum Statistical Emulation

Deterministic emulation of quantum statistics on classical hardware through paraconsistent logic frameworks.

S=2.456 Bell-CHSH Violation
  • Bell inequality violations
  • Quantum contextuality
  • 95.5% coherence to quantum
  • Classical hardware execution

Contact Us

Email: support@loopei.com

Location: Denver, Colorado

Business Type: Service-Disabled Veteran-Owned Small Business

USPTO Patent: #19/303,438

Provisional Patent: #63/911,523

CAGE Code: 16MG4

UEI: HKZMQWRYS9N9