Logic
Logic
Lehrveranstaltung mit SWS 2/2/0 (Vorlesung/Übung/Praktikum) in WS 2015
Dozent
- Steffen Hölldobler
Tutor
Umfang (SWS)
- 2/2/0
Module
Leistungskontrolle
- Klausur
This course will introduce you to propositional logic and first-order predicate logic. After reviewing syntax and semantics, we will cover some basic concepts like normal forms, substitution, and unification. You will be introduced to proof procedures such as the resolution calculus and related concepts including soundness, completeness, and decidability.
The lecture ends on November 25, and we continue with Science of Computational Logic
Exercise Book
Please pay attention to our guidelines.
Test Exams
We plan to run two test exam where participation is compulsory and results will count for 10% of the final grade.
Test Exam 1: Monday 2th November
Test Exam 2: Wednesday, 9th December
Final Exam: 19th December, 10am in Room ZEU/255/Z (Zeunerbau, Georg-Bährstrasse 3c).
Written Exam
This course will be examined as a part of the Foundations exam. The Foundation exam consists of two separate exams: a written examination for the course Logic and an oral examination for the course Science of Computational Logic. The written exam is scheduled shortly before Christmas.
Some remarks on the style of the written exam in logic
- no exam aids or support materials will be allowed. In other words, only writing materials are allowed.
- The emphasis of the exam will be on the proofs of theorems, propositions and lemmata from the lectures and the proofs occurring with the problems from the tutorials.
- In addition, in the first problem of the exam we will usually ask for some definition or algorithm presented on the lectures, e.g. define concepts like substitution, resolvent, interpretation, Skolemization, ... or algorithms like unification, transformation to clause form, ...
- Maybe, one or two exam problems will be the application of some of the presented calculi (e.g. resolution, natural deduction, normalform transformation, etc).
Veranstaltungskalender abonnieren (icalendar)
| Vorlesung | Lecture - History of Logic and Propositional Logic, till slide 'recursion' | DS6, 12. Oktober 2015 in APB E005 | Datei 1, Datei 2 |
| Vorlesung | Lecture - Propositional Logic, till 'Replacement Theorem' (slide 27) | DS2, 14. Oktober 2015 in APB E005 | |
| Übung | Tutorial: Training on Induction, Recursive Functions | DS4, 15. Oktober 2015 in APB E005 | Datei |
| Übung | Tutorial: The set L(R) | DS5, 16. Oktober 2015 in APB E005 | |
| Vorlesung | Lecture | DS6, 19. Oktober 2015 in APB E005 | |
| Vorlesung | Lecture, till slide 62 | DS2, 21. Oktober 2015 in APB E005 | |
| Übung | Tutorial: Training on entailment, proof structure (iff, implication), counter examples | DS4, 22. Oktober 2015 in APB E005 | |
| Übung | Tutorial: Entailment and unsatisfiability, proof structure | DS5, 23. Oktober 2015 in APB E005 | |
| Vorlesung | Lecture | DS6, 26. Oktober 2015 in APB E005 | |
| Vorlesung | Lecture - finished propositional logic | DS2, 28. Oktober 2015 in APB E005 | |
| Übung | Tutorial: Replacement Theorem and Normal Forms | DS4, 29. Oktober 2015 in APB E005 | |
| Übung | Tutorial: Resolution | DS5, 30. Oktober 2015 in APB E005 | |
| Vorlesung | Test Exam I | DS6, 2. November 2015 in APB E005 | |
| Vorlesung | Introduction into Predicate Logic | DS2, 4. November 2015 in APB E005 | Datei |
| Übung | Test Exam Inspection | DS4, 5. November 2015 in APB E005 | |
| Übung | Tutorial - Compactness Theorem | DS5, 6. November 2015 in APB E005 | |
| Vorlesung | Lecture - till Lemma 4.25 | DS6, 9. November 2015 in APB E005 | Datei |
| Vorlesung | Lecture - till slide 55 | DS2, 11. November 2015 in APB E005 | |
| Übung | Tutorial - Natural Deduction | DS4, 12. November 2015 in APB E005 | |
| Übung | Tutorial - Completeness of Resolution, Pure Literals | DS5, 13. November 2015 in APB E005 | Datei |
| Vorlesung | Lecture - till slide 61 | DS6, 16. November 2015 in APB E005 | Datei |
| Übung | Tutorial - Syntax and Semantics of FOL | DS4, 19. November 2015 in APB E005 | |
| Übung | Tutorial | DS5, 20. November 2015 in APB E005 | |
| Vorlesung | Lecture - till Lemma 4.64 | DS6, 23. November 2015 in APB E005 | Datei |
| Vorlesung | Lecture | DS2, 25. November 2015 in APB E005 | |
| Übung | Presentation of the European Partner Universities | DS4, 26. November 2015 in APB E005 | |
| Übung | Tutorial - Herbrand Interpretation and Infinite Models | DS5, 27. November 2015 in APB E005 | |
| Übung | Tutorial - Application of Prenex Normalform, Skolemization, Unification, Resolution and Factorization | DS4, 3. Dezember 2015 in APB E005 | |
| Übung | Tutorial | DS5, 4. Dezember 2015 in APB E005 | |
| Übung | Tutorial | DS4, 10. Dezember 2015 in APB E005 | |
| Übung | Tutorial | DS5, 11. Dezember 2015 in APB E005 | |
| Übung | Tutorial - Corresponding Herbrand Interpretations and General Q&A session | DS4, 17. Dezember 2015 in APB E005 |
Kalender
