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Stepping into Homotopy Type Theory

Stepping into Homotopy Type Theory. Sunday, November 17, 2013. Chapter 2 in the Agda proof assistant. I've decided this morning to learn a bit of Agda. Here's what I've done today, it goes through chapter 2 proving everything in Agda by staying as close as possible to the book (for example when multiple proof terms worked, I choose the one from the book). Here is the agda file. It is self-contained but I've stopped at 2.4.7. Saturday, November 16, 2013. Before explaining why such a type family is a fibra...

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Stepping into Homotopy Type Theory | steppingintohott.blogspot.com Reviews

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Stepping into Homotopy Type Theory. Sunday, November 17, 2013. Chapter 2 in the Agda proof assistant. I've decided this morning to learn a bit of Agda. Here's what I've done today, it goes through chapter 2 proving everything in Agda by staying as close as possible to the book (for example when multiple proof terms worked, I choose the one from the book). Here is the agda file. It is self-contained but I've stopped at 2.4.7. Saturday, November 16, 2013. Before explaining why such a type family is a fibra...

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Stepping into Homotopy Type Theory | steppingintohott.blogspot.com Reviews

https://steppingintohott.blogspot.com

Stepping into Homotopy Type Theory. Sunday, November 17, 2013. Chapter 2 in the Agda proof assistant. I've decided this morning to learn a bit of Agda. Here's what I've done today, it goes through chapter 2 proving everything in Agda by staying as close as possible to the book (for example when multiple proof terms worked, I choose the one from the book). Here is the agda file. It is self-contained but I've stopped at 2.4.7. Saturday, November 16, 2013. Before explaining why such a type family is a fibra...

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steppingintohott.blogspot.com

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Stepping into Homotopy Type Theory: 2.7 -- Functoriality of ap under $\sum$-types

http://steppingintohott.blogspot.com/2013/11/27-functoriality-of-ap-under-sum-types.html

Stepping into Homotopy Type Theory. Saturday, November 16, 2013. 27 - Functoriality of ap under $ sum$-types. I won't start with the introduction of HOTT, as it very well explained here http:/ homotopytypetheory.org/book/ . Instead, I'll present what was lately on my scratchpad. 27 - Functoriality of ap under $ sum$-types. The statement of this theorem and its proof was left to the reader and it gave me some trouble to state it right. Depend on $g(pr 1(x) $! F(x) : equiv (g(pr 1(x) , h(pr 1(x), pr 2(x) ).

2

Stepping into Homotopy Type Theory: November 2013

http://steppingintohott.blogspot.com/2013_11_01_archive.html

Stepping into Homotopy Type Theory. Sunday, November 17, 2013. Chapter 2 in the Agda proof assistant. I've decided this morning to learn a bit of Agda. Here's what I've done today, it goes through chapter 2 proving everything in Agda by staying as close as possible to the book (for example when multiple proof terms worked, I choose the one from the book). Here is the agda file. It is self-contained but I've stopped at 2.4.7. Saturday, November 16, 2013. Before explaining why such a type family is a fibra...

3

Stepping into Homotopy Type Theory: 2.3 -- An explanation of "Type families as fibrations" using diagrams (Part 1)

http://steppingintohott.blogspot.com/2013/11/23-explanation-of-type-families-as.html

Stepping into Homotopy Type Theory. Saturday, November 16, 2013. 23 - An explanation of "Type families as fibrations" using diagrams (Part 1). I'm often in need of diagrams for understanding abstract concepts. I perfectly understand why there's not a lot of diagram in HOTT book : it was made in a very short time to explain the theory in the doing. Here I'll try to re-explain 2.3 using diagrams. I will stay very close to the book material. Here we can display the type family $P$ using this diagram :.

4

Stepping into Homotopy Type Theory: Chapter 2 in the Agda proof assistant

http://steppingintohott.blogspot.com/2013/11/chapter-2-in-agda-proof-assistant.html

Stepping into Homotopy Type Theory. Sunday, November 17, 2013. Chapter 2 in the Agda proof assistant. I've decided this morning to learn a bit of Agda. Here's what I've done today, it goes through chapter 2 proving everything in Agda by staying as close as possible to the book (for example when multiple proof terms worked, I choose the one from the book). Here is the agda file. It is self-contained but I've stopped at 2.4.7. Subscribe to: Post Comments (Atom). Chapter 2 in the Agda proof assistant.

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Stepping into Homotopy Type Theory: About

http://steppingintohott.blogspot.com/p/about.html

Stepping into Homotopy Type Theory. I’m not a researcher in HOTT, in fact I’m no researcher at all. I’m just a math teacher with a little bit of background into type theory who wants to learn HOTT. I figured that one way to keep me motivated would be to fill this blog along the way. Subscribe to: Posts (Atom). Chapter 2 in the Agda proof assistant. 23 - An explanation of Type families as fibrati. 27 - Functoriality of ap under $ sum$-types. View my complete profile.

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Stepping into Homotopy Type Theory

Stepping into Homotopy Type Theory. Sunday, November 17, 2013. Chapter 2 in the Agda proof assistant. I've decided this morning to learn a bit of Agda. Here's what I've done today, it goes through chapter 2 proving everything in Agda by staying as close as possible to the book (for example when multiple proof terms worked, I choose the one from the book). Here is the agda file. It is self-contained but I've stopped at 2.4.7. Saturday, November 16, 2013. Before explaining why such a type family is a fibra...

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