Efficient Solving of Large Arithmetic Constraint Systems with Complex Boolean Structure : Proof Engines for the Analysis of Hybrid Discrete Continuous Systems Christian Herde deals with the development of decision procedures as needed e.g. for automatic verification of hardware and software systems via bounded model checking. He provides methods for efficiently solving formulae comprising complex Boolean combinations of linear polynomial and transcendental arithmetic constraints involving thousands of Boolean integer and real valued variables. Dr. Christian Herde completed his doctoral thesis under the supervision of Prof. Dr. Martin Fränzle at the Department of Computing Science at the University of Oldenburg Germany. Due to the growing use of more and more complex computerized systems in safety critical applications the formal verification of such systems is increasingly gaining importance. Many automatic and semi automatic schemes for hardware and software verification ultimately rely on decision procedures for discharging the proof obligations generated during the verification process. Christian Herde deals with the development of such procedures providing methods for efficiently solving formulae comprising complex Boolean combinations of linear polynomial and transcendental arithmetic constraints involving thousands of Boolean integer and real valued variables. Although aiming at providing tool support for the verification of hybrid discrete continuous systems most of the techniques he describes are general purpose and have applications in many other domains like operations research planning software validation and electronic design automation.