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Can you elaborate a bit on what the benefits of embracing that calculus are? Or maybe provide some pointers? I'm having trouble imagining what utility there is in treating untyped languages as (uni)typed. I said in another comment that it's pretty much a useless notion, but I'm genuinely curious if I'm overlooking something.

Probably the best one I can think of is that it gives you a natural way of looking at gradual typing. Doing gradual typing well is still tough, but you can see it as an obvious consequence of the unityping argument.

I see. Looks like I have some reading to do :) Thanks.

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