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Oleksandr Manzyuk's Blog | Musings of a mathematician and aspiring programmer

Musings of a mathematician and aspiring programmer

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Oleksandr Manzyuk's Blog | Musings of a mathematician and aspiring programmer | oleksandrmanzyuk.wordpress.com Reviews
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Musings of a mathematician and aspiring programmer
<META>
KEYWORDS
1 from
2 is defined as
3 type
4 transducer
5 a b =
6 forall r
7 reducer
8 where
9 a r =
10 endo
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from,is defined as,type,transducer,a b =,forall r,reducer,where,a r =,endo,endo r,r r,instance,monoid,r where,mempty =,id endo,f `mappend`,we could replace,monoidaltransducer,forall m,a b psi,into,endo m,m rep,mappend,the function,m abs,f mempty,that is
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October | 2012 | Oleksandr Manzyuk's Blog

https://oleksandrmanzyuk.wordpress.com/2012/10

Oleksandr Manzyuk's Blog. Musings of a mathematician and aspiring programmer. Month: October, 2012. Gröbner bases in Haskell: Part II. In the previous post. We discussed the representation of variables, monomials, and monomial orderings in a toy EDSL for polynomial computations groebner. In this post, we are going to consider how polynomials are represented in the EDSL and implement the Gröbner basis algorithm. A term is a monomial times a coefficient (an element of some ground ring. R v o) where. Inclus...

2

CPSing anamorphisms | Oleksandr Manzyuk's Blog

https://oleksandrmanzyuk.wordpress.com/2014/05/02/cpsing-anamorphisms

Oleksandr Manzyuk's Blog. Musings of a mathematician and aspiring programmer. At the last meeting of the London Haskell User Group, my boss Peter Marks gave a talk. In which he presented definitions of catamorphisms and anamorphisms such that the composition of an anamorphism followed by a catamorphism (also known as a hylomorphism) doesn’t build up an intermediate data structure. As the fixed point of the functor. Fmap f ( Cons. A (f b) newtype. Catamorphisms and anamorphisms are then defined as follows:.

3

January | 2013 | Oleksandr Manzyuk's Blog

https://oleksandrmanzyuk.wordpress.com/2013/01

Oleksandr Manzyuk's Blog. Musings of a mathematician and aspiring programmer. Month: January, 2013. The purpose of this humble blog post is to understand this. Insightful comment by Edward Kmett to the question “Is operational really isomorphic to a free monad? Consider the following data type definition in Haskell, which can also be found in Edward Kmett’s package kan-extensions. In Haskell, a. Before the data constructor means existential rather than universal quantification, so that. Psi phi = id.

4

Transducers are monoid homomorphisms | Oleksandr Manzyuk's Blog

https://oleksandrmanzyuk.wordpress.com/2014/08/09/transducers-are-monoid-homomorphisms

Oleksandr Manzyuk's Blog. Musings of a mathematician and aspiring programmer. Transducers are monoid homomorphisms. Well, that’s not quite right: monoidal. Transducers, which are closely related to transducers, are in bijection with monoid homomorphisms between free monoids. This wouldn’t make a catchy title, however, would it? The following is my humble exploration of the ideas from Franklin Chen’s post. The type of transducers. Or reducing function transformers. Is a type of reducers. Be a monoid homom...

5

From Object Algebras to Finally Tagless Interpreters | Oleksandr Manzyuk's Blog

https://oleksandrmanzyuk.wordpress.com/2014/06/18/from-object-algebras-to-finally-tagless-interpreters-2

Oleksandr Manzyuk's Blog. Musings of a mathematician and aspiring programmer. From Object Algebras to Finally Tagless Interpreters. Last Saturday I gave a talk at kiev: fprog. Meetup. I really enjoyed the event, and taking the opportunity I would like to thank Vladimir Kirillov. The slides of the talk can be found here. But I thought I would also write it up in a blog post. We begin by discussing the expression problem. To this end, we will use a classic example known as “Hutton’s Razor”&...This is a min...

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Oleksandr Manzyuk's Blog | Musings of a mathematician and aspiring programmer

Oleksandr Manzyuk's Blog. Musings of a mathematician and aspiring programmer. Transducers are monoid homomorphisms. Well, that’s not quite right: monoidal. Transducers, which are closely related to transducers, are in bijection with monoid homomorphisms between free monoids. This wouldn’t make a catchy title, however, would it? The following is my humble exploration of the ideas from Franklin Chen’s post. The type of transducers. Or reducing function transformers. Is a type of reducers. Be a monoid homom...

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