Aram Hăvărneanu

@aramh

Mathematical engineer bringing type safety to the cloud. Previously worked on CUE @cue_lang. JSR PC, @(R6)+; I wrote the arm64, sparc64, and Solaris Go ports.

Joined May 2009

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Aram Hăvărneanu
@aramh
Oct 20, 2021
Understanding means understanding the duality between the concrete and the abstract.
5
Aram Hăvărneanu
@aramh
6h
Strangely enough there is an AL type assignment for this calculus which only uses positive types. Perhaps this also means there is a an AL type assignment which only uses negative types. I don't know yet exactly what all of this means, except it must have something to do with
Aram Hăvărneanu
@aramh
10h
System L, λμμ~, etc, can't compete.
Aram Hăvărneanu
@aramh
9h
Superpositions just keep appearing naturally. All negative types create superpositions. ⅋ creates a very degenerate superposition, there can be only one observable and and only one continuation. & is less degenerate, it contains more terms, but there can only be one observable
1
Aram Hăvărneanu
@aramh
10h
The design principles of this term calculus were the following. There is no good way to prove strong normalization of a logic that is either informative or easy to formalize in a theorem prover. Since we have to do hard work anyway, let's put it to good use rather than being
Aram Hăvărneanu
@aramh
10h
System L, λμμ~, etc, can't compete.
Aram Hăvărneanu
@aramh
10h
I didn't want to have generalized n-ary multiplicative connectives to adjoint logic because they make things more complicated. N-ary additives are also rather unfortunate, but they are essential for subtyping, so I put them in. The benefit of generalized multiplicatives is less
Aram Hăvărneanu
@aramh
10h
System L, λμμ~, etc, can't compete.