Informatics colloquium 17. 10. Algorithmic Model Theory
Informatics colloquium 17. 10. 2017, 14:00 lecture hall D2
Dr. rer. nat. Achim Blumensath, FI MU
Algorithmic Model Theory
Abstract: Tools from logic are used in many areas of contemporary computer
science including databases, verification, and algorithms and complexity. The
field of algorithmic model theory developed in response to these applications.
It studies the various logics used by applications with a focuses on two related
aspects: (i) algorithmic questions, in particular algorithms for the model
checking problem; and (ii) questions concerning the expressive power of these
logics.
In this talk I will give an overview over the various aspects of algorithmic
model theory and then concentrate on a few selected areas. A recurring topic
will be the notion of a compatible operation. We will discuss several
applications of such operations throughout algorithmic model theory. As a more
detailed example I will present a classification theorem for a particular kind
of operations called a transductions.