LQL DAG Calculus
SmartHaus Research • 2024 • Patent Pending
Abstract
We present a mathematical framework for representing AI workflows as directed acyclic graphs with functorial properties. This ensures mathematical consistency in complex compositions while enabling automatic optimization and verification.
DAG Functors
F: DAG₁ → DAG₂ preserves composition and acyclicity
Properties
- Guaranteed acyclicity through topological ordering
- Functorial composition preserving structure
- Automatic parallelization of independent paths
- Mathematical proof of correctness at compile time