Logic

Prof. Tobias Nipkow, Sommersemester 2017

News

  • 27.06.: Two mistakes in the solution for sheets 7 (Exercise 7.1) and 8 (Exercise 8.3) have been fixed.
  • 21.05.: Next tutorial on Tuesday, 23.05.2017, had to be moved to 14:00 because of SVV. Apologies for this inconvenience. Check your email inbox for information about the room.
  • 15.05.: Next tutorial is Tuesday, 16.05.2017.
  • 11.05.: Clarified bonus.
  • 08.05.: The next tutorial is Wednesday, 10.05.2017, starting 14:30.
  • 18.04.: Note the changed tutorial details. Due to the high number of class enrollments, we will reschedule the first four tutorials to Wednesday, 14:30–16:00, in Intermishörsaal 1. First tutorial: Wednesday, 26.04.
  • 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 0.3/0.4 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