This entry is from Winter semester 2020/21 and might be obsolete. You can find a current equivalent here.

# 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 Prof. Dr. H.-Peter Gumm

## 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 shall

• understand the algorithmic handling of logic questions,
• understand the structure of a logical system,
• understand the expressiveness of a logical system,
• To recognize structures of logic in computer science,
• practice mathematical working methods (development of mathematical intuition and its formal justification, training of abstraction and proving),
• improve their oral communication skills in the exercises by practicing free speech in front of an audience and during 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.