AugustoOM/Jauto — reverse-engineered prompt

Build me a modern open source replacement for JFLAP that feels easier to use and works both in the browser and as a desktop app for Windows and macOS.

I want a visual editor where I can create and edit DFA and NFA machines, pushdown automata with a clear stack view, and single tape Turing machines. It should let me run simulations step by step so I can see what the machine is doing, and it should feel useful for learning and experimenting with formal languages, not just drawing diagrams. Please support opening and saving JFLAP .jff files so people can import existing machines and export their work back out. For desktop, include normal open and save dialogs and let users export the current diagram as a PNG.

Use the project structure that makes sense for sharing logic between web and desktop. Keep the UI clean and modern. If anything is unclear, check current docs online and make sensible choices.