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This entry is from Summer semester 2018 and might be obsolete. No current equivalent could be found.
CS 523 — Computability and Provability
(dt. Berechenbarkeit und Beweisbarkeit)
Level, degree of commitment | Specialization 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): Oral or written examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises as well as at least 2 presentations of the tasks. |
Language, Grading |
German,The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Computer Science. |
Duration, frequency |
One semester, irregular |
Person in charge of the module's outline | Prof. Dr. H.-Peter Gumm |
Contents
- Concepts of computability
- Definability, provability
- proofs of impossibility
- Gödel's incompleteness theorem
- Lambda Calculus, Combinatorial Logic
- Object Calculi (Featherweight Java)
- Intuitionistic Logic
Qualification Goals
- Deepening the knowledge of the calculability theory,
- Discovering and applying these principles in
- - Programming languages,
- - Logic,
- - Algebra,
- Practice of scientific working methods (recognition, formulation, problem solving, training of abstraction skills),
- Training of oral communication skills in the exercises by practicing free speech in front of an audience
Prerequisites
Translation is missing. Here is the German original:
Keine. Empfohlen werden die Kompetenzen, die in den Modulen Logik, Theoretische Informatik sowie Algorithmen und Datenstrukturen vermittelt werden.
Applicability
Module imported from M.Sc. Computer Science.
It can be attended at FB12 in study program(s)
- B.Sc. Computer Science
- M.Sc. Computer Science
- M.Sc. Mathematics
- M.Sc. Business Mathematics
- LAaG Computer Science
When studying LAaG Computer Science, this module can be attended in the study area Specialization Modules.
Recommended Reading
- P.Smith: An Introduction to Gödel’s Theorems. Cambridge Univ. Press
- M. Abadi, L. Cardelli: A Theory of Objects. Springer.
- M.H. Sørensen, P. Urzyczyn, 2006, Lectures on the Curry-Howard Isomorphism
- G. Mints: A short introduction to Intuitionistic Logics. Springer.
Please note:
This page describes a module according to the latest valid module guide in Summer semester 2018. 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:
- Winter 2016/17
- Summer 2018
- Winter 2018/19
- Winter 2019/20
- Winter 2020/21
- Summer 2021
- Winter 2021/22
- Winter 2022/23
- Winter 2023/24 (no corresponding element)
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.