Logic

From International Center for Computational Logic

Logic

Course with SWS 2/2/0 (lecture/exercise/practical) in WS 2015

Lecturer

Tutor

SWS

  • 2/2/0

Modules

Examination method

  • Written exam

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).

Subscribe to events of this course (icalendar)

Lecture Lecture - History of Logic and Propositional Logic, till slide 'recursion' DS6, October 12, 2015 in APB E005 Download Download
Lecture Lecture - Propositional Logic, till 'Replacement Theorem' (slide 27) DS2, October 14, 2015 in APB E005
Exercise Tutorial: Training on Induction, Recursive Functions DS4, October 15, 2015 in APB E005 Download
Exercise Tutorial: The set L(R) DS5, October 16, 2015 in APB E005
Lecture Lecture DS6, October 19, 2015 in APB E005
Lecture Lecture, till slide 62 DS2, October 21, 2015 in APB E005
Exercise Tutorial: Training on entailment, proof structure (iff, implication), counter examples DS4, October 22, 2015 in APB E005
Exercise Tutorial: Entailment and unsatisfiability, proof structure DS5, October 23, 2015 in APB E005
Lecture Lecture DS6, October 26, 2015 in APB E005
Lecture Lecture - finished propositional logic DS2, October 28, 2015 in APB E005
Exercise Tutorial: Replacement Theorem and Normal Forms DS4, October 29, 2015 in APB E005
Exercise Tutorial: Resolution DS5, October 30, 2015 in APB E005
Lecture Test Exam I DS6, November 2, 2015 in APB E005
Lecture Introduction into Predicate Logic DS2, November 4, 2015 in APB E005 Download
Exercise Test Exam Inspection DS4, November 5, 2015 in APB E005
Exercise Tutorial - Compactness Theorem DS5, November 6, 2015 in APB E005
Lecture Lecture - till Lemma 4.25 DS6, November 9, 2015 in APB E005 Download
Lecture Lecture - till slide 55 DS2, November 11, 2015 in APB E005
Exercise Tutorial - Natural Deduction DS4, November 12, 2015 in APB E005
Exercise Tutorial - Completeness of Resolution, Pure Literals DS5, November 13, 2015 in APB E005 Download
Lecture Lecture - till slide 61 DS6, November 16, 2015 in APB E005 Download
Exercise Tutorial - Syntax and Semantics of FOL DS4, November 19, 2015 in APB E005
Exercise Tutorial DS5, November 20, 2015 in APB E005
Lecture Lecture - till Lemma 4.64 DS6, November 23, 2015 in APB E005 Download
Lecture Lecture DS2, November 25, 2015 in APB E005
Exercise Presentation of the European Partner Universities DS4, November 26, 2015 in APB E005
Exercise Tutorial - Herbrand Interpretation and Infinite Models DS5, November 27, 2015 in APB E005
Exercise Tutorial - Application of Prenex Normalform, Skolemization, Unification, Resolution and Factorization DS4, December 3, 2015 in APB E005
Exercise Tutorial DS5, December 4, 2015 in APB E005
Exercise Tutorial DS4, December 10, 2015 in APB E005
Exercise Tutorial DS5, December 11, 2015 in APB E005
Exercise Tutorial - Corresponding Herbrand Interpretations and General Q&A session DS4, December 17, 2015 in APB E005


Calendar