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CS 370 — Logic
(dt. Logik)

Level, degree of commitment Advanced module, compulsory elective 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(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.
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.


Applicability

Module imported from B.Sc. Computer Science.

It can be attended at FB12 in study program(s)

  • B.Sc. Data Science
  • B.Sc. Computer Science
  • M.Sc. Data Science
  • M.Sc. Business Informatics
  • LAaG Computer Science

When studying M.Sc. Business Informatics, this module can be attended in the study area Compulsory Elective Modules in Computer Science And Mathematics.

The module is assigned to Mathematics. Further information on eligibility can be found in the description of the study area.


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 Winter semester 2023/24. 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.