Theses

Offered topics for theses

Hybrid systems verification

  • Optimizing dynamic search strategies for hybrid automata reachability analysis algorithms (contact: Stefan Schupp)
  • Exploiting parallelism in hybrid automata reachability analysis (contact: Stefan Schupp)
  • Zeno-behavior in hybrid systems reachability analysis (contact: Stefan Schupp)
  • Using simulation for counterexample validation in hybrid systems reachability analysis (contact: Stefan Schupp)
  • Conditional path refinement in hybrid systems reachability analysis (contact: Stefan Schupp)
  • Safety analysis for probabilistic hybrid systems (contact: Erika Abraham)
  • The implementation and evaluation of different reachability analysis algorithms using the HyPro toolbox (contact: Stefan Schupp)

SMT solving

  • Implementing an ordered nullification-avoiding polynomial evaluation for CAD (contact: Gereon Kremer)
  • Employing CAD for general purpose quantifier elimination (contact: Gereon Kremer)
  • Developing, implementing and evaluating different variable ordering heuristics for arithmetic theory decision procedures in SMT solving (contact: Erika Abraham)
  • A novel improvement for the virtual substitution decision procedure for linear real arithmetic (contact: Erika Abraham)
  • Synthesizing controllers for robot fleets in production logistics scenarios using SMT solving (contact: Erika Abraham)
  • Extending the SMT-LIB2 benchmark library for non-linear real and integer arithmetic (contact: Erika Abraham)
  • Generating explanations for unsatisfiability in SMT solving (contact: Erika Abraham)
  • SAT-modulo-theories solving for pseudo-Boolean constraints. (contact: Gereon Kremer)
  • Solving constraint problems with SMT solvers (contact: Gereon Kremer)
  • Breaking symmetries in SAT-modulo-theories formulas (contact: Gereon Kremer)
  • Non-linear optimization in SAT-modulo-theories solving (contact: Gereon Kremer)
  • Developing and implementing a satisfiability-equivalent transformation approach from the MiniZinc specification language into the SMT-LIB2 standard input format (contact: Gereon Kremer)
  • The development and implementation of a theory solver module for floating-point arithmetic in the SMT solver library SMT-RAT (contact: Erika Abraham)

Probabilistic systems

  • Probabilistic model repair for safe robot control (contact: Erika Abraham)
  • Probabilistic modeling of robot fleets in production logistics scenarios (contact: Erika Abraham)
  • Safety analysis for probabilistic hybrid systems (contact: Erika Abraham)

Miscellaneous

In progress

Please ask your supervisor for our checklist with information for thesis students.

  • Rebecca Haehn, “Enhancing CAD by equational constraints” (Master thesis, supervision: Gereon Kremer)
  • Malte Neuß, “Implementation of OneCell CAD for nonlinear explanations” (Master thesis, supervision: Gereon Kremer)
  • Ömer Sali, “Solving non-linear problems using linearization techniques” (Master thesis, supervision: Gereon Kremer)
  • Sabrina Kielmann, “Classifying current reachability analysis tools for hybrid systems” (Master thesis, supervision: Erika Ábrahám, Stefan Schupp)
  • Christopher Lösbrock, “Solving difference logic” (Bachelor thesis, supervision: Erika Ábrahám, Gereon Kremer, Matthias Volk)
  • Jakob Gelhard, “Connecting Maple and SMT-RAT to join the strengths of computer algebra systems and SMT solving” (Bachelor thesis, supervision: Erika Ábrahám, Gereon Kremer)
  • Jan Hafer, “Using eigenvaluedecomposition for decoupling of dynamical systems” (Bachelor thesis, supervision: Erika Ábrahám, Stefan Schupp)
  • Lukas Netz, “Genetic algorithms in renewable energy” (Master thesis, supervision: Erika Ábrahám, Pascal Richter)
  • Deniz Kesmez, “Planning for production logistics via SMT solving and optimization” (Bachelor thesis, supervision: Erika Ábrahám, Francesco Leofante)
  • Thomas Lange, “Anytime planning with Optimization Modulo Theories” (Master thesis, supervision: Erika Ábrahám, Francesco Leofante)
  • Justin Winkens, “Dynamic reachability analysis for hybrid systems” (Master thesis, supervision: Erika Ábrahám, Stefan Schupp)
  • Tobias Vogel, “Reachability analysis for compositional hybrid systems” (Bachelor thesis, supervision: Erika Ábrahám, Stefan Schupp)

Completed

2017

2016

2015

2014

2013

2012

2011

2009