Logic

Prof. Tobias Nipkow, Sommersemester 2018

News

  • 24.04.: Homework for sheet 3 is due via email or on paper in Lars' office (MI 00.09.063) by Wednesday, 02.05.2018, 12:00.
  • 24.04.: The tutorial on 01.05. is cancelled because of public holiday. The next tutorial will be on Monday, 30.04., 12:00-14:00, MI 01.11.018. The change is reflected in TUMonline.
  • 23.04.: An error on sheet 2 has been fixed.
  • 05.04.: First exercise sheet is available.
  • Website created

Excercises

Homework Bonus

There will be graded homework assignments. Anyone who achieves more than 50% of the homework score gets awarded a bonus of 0.3 on the final exam's grade, provided the exam is passed.

Submission

Typically before the tutorial in the week after (see sheet). Submission at the start of the tutorial or to the tutor's email address.

Material

Contents

The course assumes that you have had a basic introduction to logic already and are familiar with the following topics: syntax and semantics of both propositional and first-order logic; disjunctive and conjunctive normal forms; basic equivalences of propositional and first-order logic. These topics will only be refreshed briefly at the beginning of the course.

The main topics of the course:

  • Proof theory: sequent calculus, natural deduction, resolution; their soundness and completeness; translations between proof systems.
  • Meta-theory of first order logic: compactness, model theoy, undecidability, incompleteness of arithmetic.
  • Decision procedures for fragments of logic and arithmetic.

Slides

Propositional logic: First-order predicate logic:

Literature