Pattern-Based Computing (PBC): A Relaxation-Based Framework for Coordination in Complex Systems

This repository contains the reference implementation and fully reproducible computational pipeline supporting the paper: “Pattern-Based Computing (PBC): A Relaxation-Based Framework for Coordination in Complex Systems”. The work introduces Pattern-Based Computing (PBC), a relaxation-based computational framework for coordination in distributed and complex systems. In PBC, computation emerges through the dynamic relaxation of system dynamics toward active patterns, rather than through sequential symbolic execution or explicit trajectory optimization. The repository includes the full source code, experimental scripts, and configuration files required to reproduce all results reported in the paper. An illustrative traffic-based example and additional exploratory experiments are provided to demonstrate robustness, stability, and structural adaptation.