# CS 370 — Logic (dt. Logik)

 Level, degree of commitment Advanced module, depends on importing study program Forms of teaching and learning,workload Lecture (4 SWS), recitation class (2 SWS), 270 hours (90 h attendance, 180 h private study) Credit points,formal requirements 9 CP Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises as well as at least 2 presentations of the tasks. Examination type: Written examination Language,Grading German,The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Computer Science. Subject, Origin Computer Science, B.Sc. Computer Science Duration,frequency One semester, each winter semester Person in charge of the module's outline Dr. Andreas Lochmann, Prof. Dr. Christian Komusiewicz

## Contents

• propositional logic (syntax and semantics, equivalence and normal forms, satisfiability, proof calculi, correctness and completeness)
• predicate logic (syntax and semantics, undecidability, equivalence and normal forms, optionally: horn formulas and resolution, proof calculi, correctness and completeness, unification)
• Applications, e.g: Logic Programming, SAT Algorithms, Modal and Temporal Logic

## Qualification Goals

The students

• know the problem of algorithmic treatment of questions of logic,
• understand the structure of a logical system,
• understand the expressive capacity of a logical system,
• can recognize structures of logic in computer science,
• are able to follow mathematical ways of working (developing mathematical intuition and its formal justification, training the ability of abstraction, reasoning),
• are able to speak freely about scientific content, both in front of an audience and in a discussion.

## Prerequisites

None. The competences taught in the following module are recommended: Basic Linear Algebra.

• M. Huth, M. Ryan: Logic in Computer Science, Cambridge Univ. Press 2004.
• M. Ben-Ari: Mathematical Logic for Computer Science, Springer 2001.
• Uwe Schöning: Logik für Informatiker, Spektrum Verlag 2005.
• M. Kreuzer, S. Kühling: Logik für Informatiker, Pearson Studium 2006.