Dirk Pattinson
Title:
Coalgebraic Logics: A Computer Science Perspective
Abstract:
In this talk I will give an introduction to coalgebraic logics from a
computer science perspective and discuss both genericity and modularity
for coalgebraic logics. Lazyness being one of the prime qualifications
of a computer scientist, one likes to develop algorithms and proofs that
apply uniformly to a wide variety of different logics. This results, in
an application context, in software tools that are easier to develop and
to maintain. Modularity, on the other hand, allows us to infer
properties and to synthesize algorithms for combined systems from a
small number of basic building blocks. This would ideally pave the way
for larger-scale applications. In the second part of the talk I want to
take the opportunity to present and discuss some open problems in the
area and outline some research directions.
Larry Moss
Title:
Coalgebra and Modal Logic: Notes from a Research Program
Abstract:
Different researchers come at one and the same
subject from many points of motivation. In my case, I followed a
trail to coalgbraic versions of modal logic which began from work on
circularity and non-wellfounded sets. I have never had the chance to
present the 'big picture' here, and so this is what I want to do in
this talk. I also want to explore two of the pleasant 'small
details' of the picture: one is a detour into probabilistic modal
logic, a detour related to ongoing work. A second is an approach to
the weak completeness of modal logics that comes from coalgebraic
ideas.
