Dominik Kirst

Saarland University Computer Science
Dominik Kirst

My name is Dominik and I am a PhD student at the Saarbrücken Graduate School of Computer Science and the Programming Systems Lab.

I did my Bachelor's Thesis and a Research Immersion Lab on set theory formalised in Coq. I obtained my Master's degree from the University of Oxford with a thesis on intersection type systems and nominal automata. I recently finished a second Bachelor's degree in culutural studies with a thesis on foundations of mathematics hosted by the philosophy department.

I am broadly interested in theoretical computer science, computational logic and their connections to philosophy and cultural studies. Currently, I am working on categorical axiomatisations of second-order ZF.


Research Papers

Large Model Constructions for Second-Order ZF in Dependent Type Theory (pdf)
Dominik Kirst and Gert Smolka
CPP 2018, Los Angeles, USA, 2018.

Categoricity Results for Second-Order ZF in Dependent Type Theory (pdf)
Dominik Kirst and Gert Smolka
ITP 2017, Brasilia, Brazil, 2017.


Theses

Foundations of Mathematics: A Discussion of Sets and Types (pdf)
Dominik Kirst
Bachelor's Thesis, Department of Philosophy, Saarland University, 2018.

Intersection Type Systems Corresponding to Nominal Automata (pdf)
Dominik Kirst
Master's Thesis, Lady Margaret Hall, University of Oxford, 2016.

Formalised Set Theory: Well-Orderings and the Axiom of Choice (pdf)
Dominik Kirst
Bachelor's Thesis, Programming Systems Lab, Saarland University, 2014.


Teaching

Summer 2018 TA
Introduction to Computational Logic
Core Course, Programming Systems Lab.
Winter 2017/2018 Advisor
Category Theory
Seminar, Programming Systems Lab.
Summer 2017 Advisor
Category Theory
Seminar, Programming Systems Lab.
Summer 2014 Student TA
Introduction to Computational Logic
Core Course, Programming Systems Lab.
Winter 2013/2014 Student TA
Theoretical Computer Science
Basic Course, Programming Systems Lab.
Summer 2013 Student TA
Programming 2
Basic Course, Compiler Design Lab.
Winter 2012/2013 Student TA
Programming 1
Basic Course, Programming Systems Lab.
Summer 2012 Student TA
Mathematics Precourse
Saarland University.

Supervised Students

Leonhard Staut, 2017, Bachelor's thesis: Nu-Trees in Coq


Contact

Mail: kirst at ps.uni-saarland.de
Adress: Saarland University,
Saarland Informatics Campus E1 3, Rm 523
66123 Saarbrücken
Phone: +49 (0)681 / 302-5626


Legal notice, Privacy policy