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What does "formally verified" mean?
I’m glad you asked!
One of the most futuristic companies I know of is Runtime Verification that uses formal Methods in industry. They have a list of accomplishments that seem like vaporware including a semantic babel fish called the K framework that can translate between languages based on formal, semantic definitions of each.
I think a friend of mine has a job where he writes formally verified code. For sensors in a nuclear power plant. I'm curious why it would be important for a WM?
It’s not important unless Xmonad was being used for some kind of task where human lives are at risk if a mistake was made. In my case here (and indeed much of the Haskell world) it’s just fun to surround myself with software of that kind of code quality/reliability.