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> performance should dictate the algorithms, not the other way

You want correctness first, and performance second. But these two are very much intertwined. And knowing exactly where the boundary is will help you co-design them.

Some AWS engineers have said the following[1]:

"TLA+ [...] giving us enough understanding and confidence to make aggressive performance optimizations without sacrificing correctness."

[1] https://blog.acolyer.org/2014/11/24/use-of-formal-methods-at...



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