Generic programming is a powerful way to define a function that works in an analogous way for a class of types. In this article, I describe the latest approach to generic programming that is implemented in GHC. This approach goes back to the paper *A Generic Deriving Mechanism for Haskell* by José Pedro Magalhães, Atze Dijkstra, Johan Jeuring, and Andres Löh. Continue reading

# Tag Archives: Theory Lunch

# Constrained monads

There are Haskell types that have an associated monad structure, but cannot be made instances of the `Monad`

class. The reason is typically that the *return* or the *bind* operation of such a type `m`

has a constraint on the type parameter of `m`

. As a result, all the nice library support for monads is unusable for such types. This problem is called the constrained-monad problem.

In my article *The Constraint kind*, I described a solution to this problem, which involved changing the

`Monad`

class. In this article, I present a solution that works with the standard `Monad`

class. This solution has been developed by Neil Sculthorpe, Jan Bracker, George Giorgidze, and Andy Gill. It is described in their paper *The Constrained-Monad Problem*and implemented in the

*constrained-normal*package. Continue reading

# MIU in Curry

More than two years ago, my colleague Denis Firsov and I gave a series of three Theory Lunch talks about the MIU string rewriting system from Douglas Hofstadter’s MU puzzle. The first talk was about a Haskell implementation of MIU, the second talk was an introduction to the functional logic programming language Curry, and the third talk was about a Curry implementation of MIU. The blog articles *MIU in Haskell* and *A taste of Curry* are write-ups of the first two talks. However, a write-up of the third talk has never seen the light of day so far. This is changed with this article. Continue reading

# Hyperreal numbers on Estonian TV

On 13 February, I talked about hyperreal numbers in the Theory Lunch. I have not yet managed to write a blog article about this, but my notes on the whiteboard have already been featured on Estonian TV. Continue reading

# A taste of Curry

Curry is a programming language that integrates functional and logic programming. Last week, Denis Firsov and I had a look at Curry, and Thursday, I gave an introductory talk about Curry in the Theory Lunch. This blog post is mostly a write-up of my talk. Continue reading

# MIU in Haskell

In the Theory Lunch of the last week, James Chapman talked about the MU puzzle from Douglas Hofstadter’s book *Gödel, Escher, Bach*. This puzzle is about a string rewriting system. James presented a Haskell program that computes derivations of strings. Inspired by this, I wrote my own implementation, with the goal of improving efficiency. This blog post presents this implementation. As usual, it is available as a literate Haskell file, which you can load into GHCi. Continue reading

# The Constraint kind

A recent language extension of the Glasgow Haskell Compiler (GHC) is the `Constraint`

kind. In this blog post, I will show some examples of how this new feature can be used. This is a write-up of my Theory Lunch talk from 7 February 2013. The source of this article is a literate Haskell file, which you can download and load into GHCi. Continue reading

# Some interesting features of Haskell’s type system

One of the most important ingredients of Haskell is its type system. Standard Haskell already provides a lot of useful mechanisms for having things checked at compile time, and the language extensions provided by the Glasgow Haskell Compiler (GHC) improve heavily on this.

In this article, I will present several of Haskell’s type system features. Some of them belong to the standard, others are only available as extensions. This is a write-up of a talk I gave on 31 January 2013 during the Theory Lunch of the Institute of Cybernetics. This talk provided the basics for another Theory Lunch talk, which was about the `Constraint`

kind. Continue reading

# Three talks about ideal monads

Two months ago, we started the theory lunch meetings at the Institute of Cybernetics. In these meetings, we have lunch together and discuss all kinds of interesting things related to theoretical computer science. We also started the Theory Lunch blog, where an article is posted for every lunch session. I used three of the lunch meetings to talk about ideal monads, and published summaries of my talks in the following articles: Continue reading