Main content

German original

Logic
(dt. Logik)

Level, degree of commitment in original study programme Intermediate module, required module
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: 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 study course B.Sc. Computer Sciences.
Original study programme B.Sc. Informatik / Informatik Aufbaumodule
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.


Recommended Reading

  • 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.



Please note:

This page describes a module according to the latest valid module guide in Wintersemester 2020/21. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.