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German original

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,
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: Oral or 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 Wahlpflichtmodule
Duration,
frequency
One semester,
alle 3 bis 4 Semester
Person in charge of the module's outline Prof. Dr. H.-Peter Gumm

Contents

  • 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
  • Co-Datatypes
  • Intuitionistic Logic and Intuitionistic Calculi
  • Implementation of Non-Standard Logics in Jape
  • Hardware Synthesis: The Lambda System

Qualification Goals

  • 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.

Prerequisites

None. The competences taught in the following modules are recommended: Theoretical Computer Science, Logic.


Recommended Reading

  • 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.



Please note:

This page describes a module according to the latest valid module guide in Sommersemester 2021. 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.