Eigenvalue-Powered Analysis
Spectral Analysis Tools for the Modern Enterprise
A suite of specialized tools built on breakthrough spectral SAT solving technology. Heat kernel diffusion and graph Laplacian methods solving constraint satisfaction across domains from proteins to contracts.
Each tool leverages spectral analysis for domain-specific constraint satisfaction
Spectral SAT Solver API
CDCL solver with proprietary spectral heuristics achieving 1.34n scaling vs 4n for traditional solvers on structured problems.
Constraint Satisfaction Solver
Native CSP solving via heat kernel diffusion. Graph coloring, scheduling, N-Queens, Latin squares with auto-selected optimal strategy.
Protein Structure Analysis
K-RUT topology analysis, chirality validation, and mutation impact prediction. 3D visualization with clinical research support.
Legal Contract Analysis
Deontic logic analysis for legal documents. Detect conflicts, obligations, permissions and prohibitions in contract clauses.
LLM Hallucination Detection
Consistency graph analysis for detecting LLM hallucinations. Build trust in AI outputs with spectral verification.
Neural Network Fingerprinting
Behavioral fingerprinting for neural networks. Detect model drift, tampering, and supply chain attacks on AI systems.
Service Discovery
Dynamic service registry with health monitoring. Powers the Spectral Foundry microservices architecture with real-time routing.
At the core of every Spectral Foundry tool is a breakthrough in constraint satisfaction solving. Our proprietary spectral heuristics use eigenvalue decomposition of the clause-variable graph to achieve sub-exponential scaling on structured problems.
Heat kernel diffusion propagates constraint information through the hypergraph, identifying tightly coupled variable clusters and guiding search with near-optimal variable and polarity selection.
Problem Spectral Analysis Solution
+-----------+ +------------------+ +-----------+
| Variables | | Hypergraph | | Assignment|
| Domains | ----> | Laplacian L | ----> | or UNSAT |
| Constraints| | Heat kernel K_t | | |
+-----------+ +------------------+ +-----------+
|
v
+-------------------------+
| Strategy Selection |
| +---------------------+ |
| | SpectralOneShot | |
| | SpectralGuided | |
| | Backtracking | |
| | ReduceToSAT | |
| | Hybrid | |
| +---------------------+ |
+-------------------------+
Benchmark: PHP-11 (UNSAT)
MiniSat: 40.8s 5.87M conflicts
Kissat: 2.0s 191K conflicts
HYP3RSAT: 0.022s 3,141 conflicts <-- 1814x faster
Spectral analysis solving real-world constraint problems
Production scheduling and resource allocation
Protein-ligand binding analysis
Contract conflict detection
Hallucination detection and model monitoring
CPS security analysis
Optimization and planning
Mutation impact prediction
Bounded model checking