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

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

New paper about a generalization of FRP and causality in categorical models

Yesterday I finished my new paper Temporal Logic with “Until”, Functional Reactive Programming with Processes, and Concrete Process Categories, which will appear in the proceedings of PLPV ’13 and is also available online. I have already given two talks on topics of this paper, one at the Joint Estonian–Latvian Theory Days at Medzābaki and another one at the Theory Seminar of the Institute of Cybernetics. Continue reading

Slides of my MFPS talk now online

MFPS took place a month ago, and today I finally managed to publish the slides of my talk ;-). The topic of these slides is similar to the topic of the seminar talk I gave at 10 May, but the overlap is not too large. So you might be interested in having a look.

Talk about categorical models of temporal logic and FRP

I recently gave a talk about the main points of my MFPS ’12 paper. The title of the talk was Categorical Models for Two Intuitionistic Modal Logics. Continue reading

Category theory crash course

I recently gave an introduction to category theory at the Institute of Cybernetics. This crash course introduced several of the basic categorical notions that are of interest from a computer science and logic perspective, while assuming no previous knowledge about category theory. Everything necessary to understand my upcoming talk about categorical models of modal logics was covered. Continue reading

New paper about categorical models of temporal logic and FRP

Temporal logic and functional reactive programming are related via a Curry–Howard correspondence, as has recently be shown by Alan Jeffrey and by myself. Given this intriguing connection, it seems to be worthwhile to look for a common categorical semantics of temporal logic and FRP. This undertaking is a current research topic of mine. I will present some results on this at this year’s MFPS conference under the title Towards a Common Categorical Semantics for Linear-Time Temporal Logic and Functional Reactive Programming. A preprint of the corresponding paper is now available online. Continue reading