Kan We Box It?

@CodaFi_

Desktop developer. Programming language enthusiast. reenignE. 19. Aspiring Type Theorist. λΠω Lover. Math@CMU 2019

Pittsburgh
λπω.com
Joined June 2012
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  1. Pinned Tweet
    2 Sep 2014

    Walk into the club like postulate extensionality : ∀ {a b} {A : Set a} {B : A → Set b} (f g : (a : A) → B a) → (∀ x → f x ≡ g x) → f ≡ g

    14 retweets 44 likes
  2. Oct 12

    One does not “add” submodules, one “takes on” submodules. As a boat takes on water before it, you know

    1 retweet 9 likes
  3. Oct 12

    > Math textbook “Can you believe the number of elements with this property is n!” > Me Well shit, is it n or n factorial…

    13 likes
  4. In reply to
    Oct 11

    . LOL, it’s already catching things

    7 likes
  5. Oct 10

    Y’all, this is so important. Modern compilers exist to serve their users. What better way than to share tools?

    1 retweet 2 likes
  6. Oct 9

    Or is it rather that to even talk about “uniqueness” one has to have a theory that can distinguish between distinguishable morphisms?

  7. Oct 9

    Strong equality of morphisms still trips me up. I get why we want extensionality, don’t get why being in a topos gets you it “for free”

    1 like
  8. Oct 9

    Sets aren’t everything. Morphisms, on the other hand…

    1 like
  9. Oct 9

    Finally got around to rewatching ’s wonderful lambdaconf talk on the Topos Theoreticial view of TT

    2 retweets 11 likes
  10. Oct 3 Los Angeles, CA

    Yay! Thanks to and my first (useful) swift proposal is in motion! 😄

    5 retweets 21 likes
  11. Sep 29

    Too bad writing useful type-level operations against this thing is a PITA. Too much induction, not enough computation.

    1 like
  12. Sep 29

    No dependent types? No problem! [Phantom types have no impact on type layout so you can cheat and bitcast indices in the constructor]

    2 retweets 5 likes
  13. Sep 28

    This is how SwiftCheck scales to big balls of state. You can just say e.g. “No matter what the user does, popping a VC clears these fields”

    1 like
  14. Sep 28

    It reminds me of Hoare Logic.

  15. Sep 28

    - You state a law as a sequence of actions - Framework generates a bunch of intermediate extra actions - Execute - Checks the law holds

    2 likes
  16. Sep 28

    I *love* this pattern. I don’t know why it doesn’t have a name.

    5 likes
  17. Sep 28

    SE-0143: Conditional Conformances in review to 10/7.

    8 retweets 11 likes
  18. Sep 26

    HYPE

    2 retweets 1 like
  19. Sep 26

    Just wanted y’all to know I’m going back to to work on Swift next summer. (with ; Dream Team) ❤️

    49 likes
  20. Sep 24

    Just got to ride in one of ’s autonomous cars. It was everything I hoped for and more. Get people off the road, the robots are ready.

    18 likes

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