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Do you think this can be useful for a computational algebra system?

I'm honestly not sure if I can answer that question. There's plenty of applications for hypergraphs (e.g. https://www.sciencedirect.com/science/article/pii/S209580992...), so I'd say why not?

Are you implementing this to solve any particular application?

Not really - yet. I made that as an exercise to learn some Zig and to see how fast/efficient it might be.