Computer-assisted Theorem Proving
(dt. Rechnergestützte Beweissysteme)
|Level, degree of commitment in original study programme||Intermediate module, compulsory elective module|
|Forms of teaching and learning,
|Lecture (4 SWS), recitation class (2 SWS), |
270 hours (90 h attendance, 180 h private study)
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: Oral or written examination
|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 Wahlpflichtmodule|
|One semester, |
alle 3 bis 4 Semester
|Person in charge of the module's outline||Prof. Dr. H.-Peter Gumm|
- Sequential calculus for Propositional and Predicate Logic
- Resolution Methods for Predicate Logic
- Specifying and Proving in PVS
- Typed Logic and Type Correctness Conditions
- Equality, Rewrite-Systems,
- Decision Procedures, Nelson-Oppen, Shostak Algorithm
- Induction and Higher Order Logic
- Synthesis of Programs and Data Types
- Intuitionistic Logic and Intuitionistic Calculi
- Implementation of Non-Standard Logics in Jape
- Hardware Synthesis: The Lambda System
- Formal specification of proof tasks,
- Methods, calculations and algorithms for computer-aided proof,
- Dealing with industrial strength interactive proof systems,
- Special logics and their treatments,
- Training scientific skills (recognition, formulation, problem solving, abstraction),
- Training of oral communication skills in the labs by practicing free speech and discussion in front of an audience.
None. The competences taught in the following modules are recommended: Theoretical Computer Science, Logic.
- N.Shankar: Specification and Proof with PVS (http://fm.csl.sri.com/SSFT15/PVScourse.pdf)
- M. Hofmann: Vorlesungsskript Rechnergestütztes Beweisen, 2006
- F.v.Henke, K.Pfeifer: PVS Einführung. 2006
- S. Owre, J. Rushby, et al: A tutorial introduction to PVS, 1996
- W. Schreiner: The RISC ProofNavigator, Tutorial and Manual, RISC, 2008.
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:
- WiSe 2016/17 (no corresponding element)
- SoSe 2018 (no corresponding element)
- WiSe 2018/19
- WiSe 2019/20
- WiSe 2020/21
- SoSe 2021
- WiSe 2021/22
- WiSe 2022/23
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.