### The Failure of Linear AI Chains
Traditional LLM chains execute sequentially. When an intermediate agent hallucinated a database schema or produced invalid SQL, linear pipelines crashed. Enterprise systems require cyclical error-correction loops.
### Cyclic State Machines with LangGraph
By defining agents as nodes in a directed cyclical graph with shared state memory, an agent that receives a runtime execution failure can re-evaluate its tool parameters autonomously before returning the final payload to the user.