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

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

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