Hannah Mertens

- hannah.mertens@cs.rwth-aachen.de
- Address
- Room 4207
Ahornstraße 55
D-52074 Aachen - Phone
- +49 241 80 21203
I am a PhD student in the Software Modeling and Verification Group headed by Professor Joost-Pieter Katoen.
Research
My research focuses on compositional verification of probabilistic systems, in particular parametric Markov models and stochastic games.
Teaching
Current semester
Past semesters
- SoSe25: Formale Systeme, Automaten, Prozesse
- WiSe24/25: Model Checking and Seminar Trends in Computer-Aided Verification
- SoSe24: Formale Systeme, Automaten, Prozesse
- WiSe23/24: Seminar Reproducing Research Results in Formal Methods
- SoSe23: Datenstrukturen und Algorithmen
Thesis projects
If you are interested in writing a Bachelor’s or Master’s thesis in probabilistic model checking, don’t hesitate to contact me.
Ongoing Thesis Projects
- Sophia Schweizer, Interval MDP Semantics for Multi-Objective Properties. Bachelor’s thesis
- Jesper Nilsson, Expected Visiting Times in Interval Markov Chains. Bachelor’s thesis
- Toufik Kairoua, Weakest-preconditions for Interval-Programs. Bachelor’s thesis(co-supervision with Lena Verscht)
- Svenja Stein, AG-Reasoning for poMDPs (working title). Master’s thesis (co-supervision with Alexander Bork)
Past Thesis Projects
- Sven Farwig, An Evaluation of Tools to Compute the Stationary Distribution in Markov Chains. Bachelor’s thesis
- Asad Butt, Extending AG-Rules for pPAs. Bachelor’s thesis
- Julian Bahr, Properties and Complexity of Cores in Markov Chains. Bachelor’s thesis (co-supervision with Tim Quatmann)
- Marcel Eissing, On the Relation of Rely-Guarantee and Assume-Guarantee Reasoning. Bachelor’s thesis (co-supervision with Lena Verscht)
- Jannik Hiller, Model Checking Stochastic Games with Storm. Bachelor’s thesis (co-supervision with Tim Quatmann)
- Julius Ide, Markov Decision Processes with Multiple Linear Time and Long-run Average Objectives. Bachelor’s thesis (co-supervision with Tim Quatmann)
Awards
- ETAPS2024: Our paper Accurately Computing Expected Visiting Times and Stationary Distributions in Markov Chains (joint work with Joost-Pieter Katoen, Tim Quatmann and Tobias Winkler) has received the EAPLS (European Association of Programming Languages) Best Paper Award.
- Springorum Medal in 2023 for receiving a master’s degree with distinction.
Publications
Own publications
2025
- Conference paper
Compositional Reasoning for Parametric Probabilistic Automata
36th International Conference on Concurrency Theory
- Journal article
Computing Expected Visiting Times and Stationary Distributions in Markov Chains: Fast and Accurate
Journal of automated reasoning
PDF of Computing Expected Visiting Times and Stationary Distributions in Markov Chains: Fast and AccurateRWTH record for Computing Expected Visiting Times and Stationary Distributions in Markov Chains: Fast and AccurateBibTeX for Computing Expected Visiting Times and Stationary Distributions in Markov Chains: Fast and Accurate
2024
- Conference paper
Accurately Computing Expected Visiting Times and Stationary Distributions in Markov Chains
Tools and algorithms for the construction and analysis of systems
PDF of Accurately Computing Expected Visiting Times and Stationary Distributions in Markov ChainsRWTH record for Accurately Computing Expected Visiting Times and Stationary Distributions in Markov ChainsBibTeX for Accurately Computing Expected Visiting Times and Stationary Distributions in Markov Chains
Supervised theses
2025
- Bachelor’s thesis
Extending the assume–guarantee framework for parametric probabilistic automata : From robust valuations to the limits of robust strategies
RWTH Aachen University
Advisers: Joost-Pieter Katoen, Thomas Noll
Consultants: Hannah Mertens
RWTH record for Extending the assume–guarantee framework for parametric probabilistic automata : From robust valuations to the limits of robust strategiesBibTeX for Extending the assume–guarantee framework for parametric probabilistic automata : From robust valuations to the limits of robust strategies - Bachelor’s thesis
On the relation of rely-guarantee and assume-guarantee reasoning
RWTH Aachen University
Advisers: Joost-Pieter Katoen, Thomas Noll
Consultants: Lena Verscht, Hannah Mertens