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Logic

Lehrveranstaltung mit SWS 2/2/0 (Vorlesung/Übung/Praktikum) in WS 2015

Dozent

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 Download Download
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 Download
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 Download
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 Download
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 Download
Vorlesung Lecture - till slide 61 DS6, 16. November 2015 in APB E005 Download
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 Download
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


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