See selected notes below. Or visit the notes archive. Representable functors in Haskell. Existential quantification in Haskell. Category theory and type theory. Universes in the groupoid model of type theory. Category theory in Coq with setoids.
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See selected notes below. Or visit the notes archive. Representable functors in Haskell. Existential quantification in Haskell. Category theory and type theory. Universes in the groupoid model of type theory. Category theory in Coq with setoids.
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Representable functors in Haskell
http://www.covariant.me/notes/rep-functors.html
Last updated: February 15, 2014. Representable functors in Haskell. F : C to Set ). If it is isomorphic to (Hom(A, -) ). For some (A ). Denoted as (F simeq Hom(A,-) ). Since we are talking about Haskell, I’ll also use the ( a to -) ). Notation instead of (Hom(a, -) ). The object (A ). For a functor (F ). Usually, the isomorphism between the functor is given by two natural transformations. Throughout the text the letters ( alpha ). And ( beta ). Beta : F Rightarrow (a to -) ). For a representing object.
Existential Quantification in Haskell
http://www.covariant.me/notes/existential-quantification.html
Last updated: January 24, 2014. Existential Quantification in Haskell. Existential quantification in Haskell is a topic that arises from time to time, because it is confusing for the newcomers. I remember being perplexed by it myself. In datatypes (and newtypes) declarations is a powerful mechanism that can be used to incapsulate information or even provide stronger type guarantees. Why is it called existential quantification when we are using a universal quantifier? Above you can see the example usage of.
Basic Category Theory in Coq
http://www.covariant.me/notes/coq-categories.html
Last updated: January 28, 2014. Basic Category Theory in Coq. Problems, issues, experience. I am working on an implementation of the basic category theory in Coq. This page should be updated when appropriate. You can browse the repository online. Or you can clone it to your computer using darcs. Darcs get http:/ covariant.me/repos/cat/. Definition of a category,. Typeclass, notation for Hom-sets and composition;. Definition of a functor, id functor;. Definition of a setoid morphism;.
The λ-calculus
http://www.covariant.me/notes/lambda-calc.html
Last updated: October 30, 2014. Notes and fun facts about lambda calculus. Klop’s fixed point combinator. Klop’s fixed point combinator. Y-combinator, defined as. Y = λf.(λx. f (x x) (λx. f (x x). Is a fairly-known logical combinator used for defining recursive functions. However, it is not the only combinator of such kind. Jan Klop has discovered a fixed-point combinator (Y k ). Defined as (Y k = LLLLLLLLLLLLLLLLLLLLLLLLLL ). L = λabcdefghijklmnopqstuvwxyzr. r (thisisafixedpointcombinator).
A note on the universes in the groupoid model of type theory
http://www.covariant.me/notes/groupoid_univ.html
Last updated: May 21, 2015. A note on the universes in the groupoid model of type theory. We start by assuming a meta-theoretical universe ({ cal V} ). We call a groupoid (X ). If both objects and morphisms of (X ). Are in ({ cal V} ). By ({ mathbf{ mathord{Gpd} } ). We denoted a category of small groupoids, restricting the morphisms to only isomorphisms of groupoids. Thus, ({ mathbf{ mathord{Gpd} } ). Is a groupoid as well, ({ mathbf{ mathord{Gpd} } in { mathbf{ mathord{GPD} } ). Mathbf{ mathord{Gpd} } ).
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Darcs rebase by example | (parentheses)
https://parenz.wordpress.com/2015/07/28/darcs-rebase-by-example
Ramblings and thought on Haskell, programming and logic. Darcs rebase by example. Comes in handy. To put it in the words of the implementor Rebase is a workaround for cases where commutation doesn’t do enough . A repository can change it’s state from rebase-in-progress back to normal if there are no suspended patches left. However, be aware that you cannot unsuspend a patch. If you have unrecorded changes in the repository. In light of this, I suggest recording a temporary patch with current changes.
ANN: hastache 0.6 | (parentheses)
https://parenz.wordpress.com/2014/03/31/hastache-0-6
Ramblings and thought on Haskell, programming and logic. ANN: hastache 0.6. Announcing: hastache 0.6. Is a Haskell implementation of the mustache. Cabal update cabal install hastache. Hello, { name}! N nYou have { unread} unread messages.". For template syntax; consult README. Whats’s new in 0.6? The interface of the library has been switched from ByteString to (lazy) Text. That means, for example, that the type of. Function is now the following:. The generic context generation (. Text - m Text. You are ...
Darcs binaries for OSX with Homebrew | (parentheses)
https://parenz.wordpress.com/2015/06/22/darcs-binaries-for-osx-with-homebrew
Ramblings and thought on Haskell, programming and logic. Darcs binaries for OSX with Homebrew. Recently I’ve updated my Darcs homebrew build. To Darcs 2.10. You can install it with. Brew install http:/ darcs.covariant.me/darcs.rb. The formula contains a context (. And it is a static binary. This entry was posted in CS. June 22, 2015. Hoogle inside the sandbox. HTTP Basic auth in Snap →. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:.
HTTP Basic auth in Snap | (parentheses)
https://parenz.wordpress.com/2015/07/11/http-basic-auth-in-snap
Ramblings and thought on Haskell, programming and logic. HTTP Basic auth in Snap. Recently, I’ve implemented HTTP Basic auth for darcsden. And wrote a simple. Test for it. In this post I would like to outline the main technical details. A lot of darcsden code is (especially the parts that are closer to the users’ web browser handlers, pages, so on) is written around sessions. Sessions are stored in a special storage implemented by the. But if we abstract away from the details we have a. What this does is...
Heads up: scotty-hastache 0.2.1 | (parentheses)
https://parenz.wordpress.com/2014/04/03/scotty-hastache-0-2-1
Ramblings and thought on Haskell, programming and logic. Heads up: scotty-hastache 0.2.1. To accommodate for the release of hastache-0.6. I’ve updated the scotty-hastache. Package to the version 0.2.1. This entry was posted in Haskell. April 3, 2014. ANN: hastache 0.6. ANN: Hastache version 0.6.1 →. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out.
Dan | (parentheses)
https://parenz.wordpress.com/author/ohwowk
Ramblings and thought on Haskell, programming and logic. Сначала я родился, а потом учился. Frobenius property of weak factorisation systems and Pi-types. I’ve put together a note on the Frobenius property for weak factorisaion systems. And it’s relation to models of type theory. Awodey and Warren described. A way of obtaining a model of type theory with identity types from a model category structure/weak factorisation system. However, in absence of axioms for other type formers (specifically, Π. It invo...
co-dan :: hub.darcs.net
http://hub.darcs.net/co-dan
Mdash; my patches to darcs, branch of darcs-screened. Mdash; mirror of http:/ darcs.net/releases/branch-2.10. Mdash; Darcs Benchmarking Utility. Http:/ wiki.darcs.net/Benchmarks. Mdash; mirror of http:/ darcs.net/screened for SoC15. Mdash; darcs repository web UI and hosting app. This is the main darcsden trunk, which also runs hub.darcs.net. Http:/ hub.darcs.net. Mdash; darcs repository web UI and hosting app. This is the main darcsden trunk, which also runs hub.darcs.net. Http:/ hub.darcs.net.
Блог ~ lymar.ru
http://www.lymar.ru/tag/Hastache
Hastache 0.6.0. Новый мейнтейнер. Апрель 01, 2014, 15:30. Вышла новая версия hastache 0.6.0. Самое заметное изменение переход от использования ByteString. К использованию Text. А самое заметное изменение для меня самого в том, что теперь у hastache новый мейнтейнер, который вот эту новую версию и выпустил. Это Daniil Frumin. Доступ к элементам списка по номеру в Hastache. Июль 12, 2012, 09:00. Пользоваться так:. MapM ( (template,context). Template1, context2),.
Блог ~ lymar.ru
http://www.lymar.ru/tag/Haskell
Hastache 0.6.0. Новый мейнтейнер. Апрель 01, 2014, 15:30. Вышла новая версия hastache 0.6.0. Самое заметное изменение переход от использования ByteString. К использованию Text. А самое заметное изменение для меня самого в том, что теперь у hastache новый мейнтейнер, который вот эту новую версию и выпустил. Это Daniil Frumin. Новый движок моего блога. Ноябрь 26, 2012, 19:00. Предыдущая версия. Без редиректов всё-таки сложно обойтись....Дополни­...И вот...
Darcs 2.10.1 (Mac OSX build) | (parentheses)
https://parenz.wordpress.com/2015/07/12/darcs-2-10-1-mac-osx-build
Ramblings and thought on Haskell, programming and logic. Darcs 2.10.1 (Mac OSX build). Darcs 2.10.1 has been released! Citing the official release notes. Diff-command when a diff.exe. Repo=remoterepo creates and populates. I’ve updated Mac OS. To version 2.10.1. You can install it with. Brew install http:/ darcs.covariant.me/darcs.rb. This entry was posted in Haskell. July 12, 2015. HTTP Basic auth in Snap. Darcs rebase by example →. Leave a Reply Cancel reply. Enter your comment here. Sorry, your blog c...
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covariant in a sentence | simple examples
In A Sentence .org. The best little site that helps you understand word usage with examples. Covariant in a sentence. Type parameters are invariant, unless explicitly specified to be. With a where clause. To get you by: dynamic (runtime) types, optional parameters, named parameters,. And contravariant generic type parameters. Im not sure I like the overloading of the out keyword for. Type parameters, but otherwise, pretty cool. I find it easier to remember the difference between out and in, compared to.
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See selected notes below. Or visit the notes archive. Representable functors in Haskell. Existential quantification in Haskell. Category theory and type theory. Universes in the groupoid model of type theory. Category theory in Coq with setoids.
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