Bottom in Haskell described here is said to be any computation that have errors, is unterminated, or involves infinite loop, is of any type... is this specific to Haskell? We know in Lattice theory, there is also a notion of Bottom
there.....and shouldn't Bottom be defined based on what's the order defined?
The concept of Bottom in Haskell
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Indeed there is an order of definedness, where bottom is the least defined value. Have a look at this page about denotational semantics in Haskell for a more thorough explanation.
Here is a lattice for the values of
Maybe Bool
taken from the wiki page. It shows thatJust True
is more defined thanJust ⊥
which is more defined than⊥
.