Course at
Faculty of Mathematics, informatics and Mechnics
The University of Warsaw
Category Theory in Foundations of Computer Science
winter semester of 2018/2019
Fridays, 14.15 - 17.15 (with an option to extend this until 17.30, or even 17.45 after a break), r. 5050
Universal algebra and category theory are by now two classical areas
of mathematics that offer abstract concepts, methods and results which
have been widely adopted in foundations of computer science and by now
form the standard language to deal with, among others, modelling,
design, and systematic construction of complex software systems.
The course recalls basic concepts of universal algebra and introduces
the language of category theory, limited to the most elementary and
important notions and related results. We hint at least at the
possible appliocations of the categorical language in various areas of
computer science, for instance in type theory and in foundations of
algebraic specifications.
Transparencies (subject to modification and expansion):
Literature
Exam:
There will be a (written) exam, in the form of an
assignement, most likely similar to those in the past years.
Here are a few samples from the past (sorry, no English versions available):
- Moze jeszcze cos tu sie pojawi...
AT
(tarlecki@mimuw.edu.pl)