Efficient Solving of Large Arithmetic Constraint Systems with Complex Boolean Structure

Proof Engines for the Analysis of Hybrid Discrete-Continuous Systems
With a foreword by Prof. Dr. Martin Fränzle
ISBN: 978-3-8348-1494-4
Verlag: Vieweg+Teubner Verlag

Buch, Englisch, 163 Seiten, Format (B × H): 148 mm x 210 mm, Gewicht: 275 g

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.

Zielgruppe

Researchers, students, and practitioners from the fields of satisfiability checking, numerical constraint solving, and formal verification, especially of hybrid discrete-continuous systems.

Autoren/Hrsg.

Herde, Christian

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik Mathematik Operations Research
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie

Inhaltsverzeichnis

Hybrid Dynamical Systems; Extending DPLL for Pseudo-Boolean Constraints; Integration of DPLL-SAT and Linear Programming; Integration of DPLL and Interval Constraint Solving

Über Autor(innen)

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.