Schedule WS 11/12
Prerequisites:


SWS:

V3 + Ü1

Lecture times:

Monday 15:30 – 17:00 (room 5056) (V2)

Thursday 10:00 – 11:30 (room 5056) (V1 + Ü1)


Start:

October 10, 2011

Language:

English or German (depending on the students’ preferences)

Exam:

Oral exam

ECTS credits:

6

News and materials can be found in the corresponding L2P learning room. For additional information see also the Campus page. During the semester we record the lecture and work out lecture notes. Both the videos and the notes will be made available in the L2P room. For possible exam combinations with other lectures see here.
Motivation
Different approaches in computer science involve tools (solvers) to check if certain formulas are satisfiable. Examples can be found in the fields of hardware and software verification, counterexample generation, termination analysis of programs, and optimization algorithms.
In this lecture we deal with the automatic check of satisfiability for different logics. Formulas of propositional logic can be checked for satisfiability using SATsolvers (SAT=”satisfiability”). Extending the logic with different theories leads us to SMTsolvers (SMT=”satisfiability modulo theories”). To demonstrate practical relevance, we employ the above methods in the context of bounded model checking.
Prerequisites
This course can be attended by bachelor students (as Wahlpflicht in theoretical computer science) as well as by master/diploma students.
Basic knowledge about algorithms is required.
Materials
For learning you can use the book
Decision Procedures: An Algorithmic Point of View
by Daniel Kroening and Ofer Strichman
SpringerVerlag, Berlin, 2008 
which is available in the computer science library, the lecture slides, the lecture notes, and the video recordings of the lecture that will be made available in the L2P learning room.
Lecture Content
The slides of the last lecture (WS 10/11):
Nr.

Theme

Slides


1.

Introduction


2.

Firstorder logic


Decidability and decision procedures


3.

Propositional logic


Examples for propositional logic


SATsolving


Examples for SATsolving


4.

Equality logic


5.

Linear real algebra


FourierMotzkin variable elimination


Simplex


6.

Presburger arithmetic


The branch and bound method


The Omega test


7.

SATmodulotheories solving


8.

An application: Bounded model checking
