Teoría homotópica de tipos. ~ Fernando Rafael Chu Rivera. https://cybertesis.unmsm.edu.pe/bitstream/handle/20.500.12672/19939/Chu_rf.pdf #ITP #Agda #HoTT

@LeviKornelsen ok then, #ttrpg things I am into

#dnd #osr #dsa #shadowrun #traveller #miniatures #harnworld #DragonRampant #battletech #callofcthulhu #minipainting #odnd #labyrinthlord #hott

On trees and their topological realisations in homotopy type theory. ~ Jonathan Prieto-Cubides. https://jonaprieto.github.io/drafts/Jonathan-Prieto-Cubides-On-Trees-and-Their-Topological-Realisation-in-HoTT.pdf #ITP #Agda #HoTT

Reading the HoTT book and trying to understand the basics. The inhabitants of a type are called terms. Are terms also types in Type Theory?

#TypeTheory #Types #Terms #HoTT #Book

The first day of the #HoTT conference just wrapped up! It's so good to be back in Pittsburgh, and it's SO great to be among type theorists. I love this kind of math so much.

Now it's off to the barbeque reception 😌

Does #HoTT say anything interesting about adjoint equivalences of categories? Can we work up to adjoint equivalence, rather than full equivalence?

#HOTT #hott #homotopy #typetheory #homotopytypetheory https://www.youtube.com/@jdchristensen123

Set extensionality may seem simple when you think of a basket collecting some things, but we don’t just use small, finite collections of named atoms in math. Synthetic sets and the semantics of definition hides a lot of complexity around existence claims, predicativity, and self-reference.

Using fundamentally intensional type theories like #HoTT makes those definitional complexities more explicit while hiding the completed collection of existents.
https://www.reddit.com/r/math/comments/ar30ly/why_homotopy_type_theory_cant_replace_set_theory/

This week the #HoTTEST seminar presents:

Maria Emilia Maietti

A comparison between the Minimalist Foundation and HoTT

The talk is 11:30am-12:30pm EDT (UTC-4) on Thursday, April 20 and will be followed by discussion. See https://www.uwo.ca/math/faculty/kapulkin/seminars/hottest.html for the Zoom link, the abstract, and a list of all upcoming talks.

All are welcome!

#HoTT @carloangiuli@twtr.plus @carloangiuli@birdsite.wilde.cloud @emilyriehl

This week the #HoTTEST seminar presents:

Omar Antolín Camarena

HoTT lessons for algebraic topologists

The talk is 11:30am-12:30pm EDT (UTC-4) on Thursday, April 6 and will be followed by discussion. See https://www.uwo.ca/math/faculty/kapulkin/seminars/hottest.html for the Zoom link, the abstract, and a list of all upcoming talks.

All are welcome!

#HoTT @carloangiuli@twtr.plus @carloangiuli@birdsite.wilde.cloud @emilyriehl

Episode 46: All Mechs Burning - Featuring the fantastic All Bridges Burning designed by VPJ Arponen from #gmtgames and so much more! April's featured game will be Salerno `43!
https://historytable.podbean.com/e/episode-46-all-mechs-burning/

#wargames #HexesForever #hexandcounter #boardgames #boardgamepodcast #HotT

#hott folks , can hott ever ever replace good ol' set theory?

This week the #HoTTEST seminar presents:

Daniel Gratzer @danielgratzer

Modalities and (weak) dependent right adjoints

The talk is 11:30am-12:30pm EDT (UTC-4) on Thursday, March 23 and will be followed by discussion. See https://www.uwo.ca/math/faculty/kapulkin/seminars/hottest.html for the Zoom link, the abstract, and a list of all upcoming talks. Note that North America is on daylight time, so this will be one hour earlier for those connecting from Europe.

All are welcome!

#HoTT @carloangiuli@twtr.plus @carloangiuli@birdsite.wilde.cloud @emilyriehl

in coq: fun H : 0 = 1 => eq_ind 0 (fun e : nat => match e with 0 => True | S _ => False end) I 1 H)
i must also mention this #hott course , which some of these people found helpful
https://www.youtube.com/watch?v=u92V0OMgvhM&list=PL1-2D_rCQBarjdqnM21sOsx09CtFSVO6Z

#hott
https://mailman.mit.edu/pipermail/hott-reading-group/
Also a periodic reminder that I while i cited https://web.mit.edu/~jgross/Public/tmp/freenode:%23%23hott
IN the start , I can't cite it every-time I quote it
Readers are advised due measures

This week the #HoTTEST seminar presents:

Hoang Kim Nguyen

Directed univalence in simplicial sets

The talk is 11:30am-12:30pm EST (UTC-5) on Thursday, March 9 and will be followed by discussion. See https://www.uwo.ca/math/faculty/kapulkin/seminars/hottest.html for the Zoom link, the abstract, and a list of all upcoming talks.

All are welcome!

#HoTT @carloangiuli@twtr.plus @carloangiuli@birdsite.wilde.cloud @emilyriehl

I was watching this talk on #PureTypeSystems to the #Haskell group in Boston:

https://www.youtube.com/watch?v=ZGqKsalJi4s

PTS is based on set theory. So, must it be translated to #HomotopyTypeTheory or is there an even simpler starting point for a programming language type system with #HoTT?

so has anyone figured out how to use #HomotopyTypeTheory as the basis for a programming language type system?

#HoTT
(picture CW: anime eye contact)

watching some #HoTT stuff:

"How I became seduced by univalent foundations"
https://www.youtube.com/watch?v=XIYoI5j5Flo

#typeTheory

This week the #HoTTEST seminar presents:

Loïc Pujet

Observational Type Theory meets CIC

The talk is 11:30am-12:30pm EST (UTC-5) on Thursday, February 23 and will be followed by discussion. See https://www.uwo.ca/math/faculty/kapulkin/seminars/hottest.html for the Zoom link, the abstract, and a list of all upcoming talks.

All are welcome!

#HoTT @carloangiuli@twtr.plus @carloangiuli@birdsite.wilde.cloud @emilyriehl