Jason (jcreed) wrote,
Jason
jcreed

-

Last Domain Theory today.
Scott talked about Equilogical Spaces.

Trying to think about 3-ary trees with
an equivalence relation on their leaves
where beta reduction is defined
(t1, t2, t3) -> [t1/t2]t3
(substitution is sort of pattern matching,
where a 'match' occurs up to equivalence
of leaves)
I wonder if there are any nonnormalizing trees?
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    Playing around with the agda javascript backend, now. Like, my ears are popping from the sudden change of type-theory-pressure.

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    Trying to understand in general what kind of diagrammatic interactions between degree-three nodes actually read sensibly in the lambda calculus:

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    Not sure this is the simplest possible inverse (or even that it is correct) but it makes for a fun diagram:

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