All they did was prompt an LLM over and over again to execute one iteration of a towers of hanoi algorithm. Literally just using it as a glorified scripting language:

```

Rules:

- Only one disk can be moved at a time.

- Only the top disk from any stack can be moved.

- A larger disk may not be placed on top of a smaller disk.

For all moves, follow the standard Tower of Hanoi procedure: If the previous move did not move disk 1, move disk 1 clockwise one peg (0 -> 1 -> 2 -> 0).

If the previous move did move disk 1, make the only legal move that does not involve moving disk1.

Use these clear steps to find the next move given the previous move and current state.

Previous move: {previous_move} Current State: {current_state} Based on the previous move and current state, find the single next move that follows the procedure and the resulting next state.

```

This is buried down in the appendix while the main paper is full of agentic swarms this and millions of agents that and plenty of fancy math symbols and graphs. Maybe there is more to it, but the fact that they decided to publish with such a trivial task which could be much more easily accomplished by having an llm write a simple python script is concerning.

No offense to the academic profession, but they're not a good source of advice for best practices in commercial software development. They don't have the experience or the knowledge sufficient to understand my workplace and tasks. Their skill set and job is orthogonal to the corporate world.