Formal Logic
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There is a limit of 80 on the number of participants (Teilnehmerbegrenzung).
However, only 66 are registered by now so it does not matter.
Where und When:
- Lecture: Tuesday 14:15-15:45 in H5
- Problem classes:
(will be held in German)
- Tuesday 16-18 in S1-501, tutor: Lisa Henetmayr, or
- Wednesday 12-14 in S1-501, tutor: Lisa Henetmayr
- Written exam: tba
- Duration: 90 min
- Allowed tools: Pen, brain (no own paper, no cheat sheet)
Here the
link
to the ekvv-entry.
Topics:
Formal logic appears naturally in several places in computer science.
Logic gates are the elementary building blocks of integrated circuits.
Proofs of NP-hardness often use
reductions to satisfiability of Boolean expressions. Logic provides a
concept of computability, and a wealth of problems that cannot be solved
algorithmically. Propositional and first-order logic, as well as temporal
logic and higher-order logic are used in the verification and validation
of computer algorithms.
This one-semester course offers introduction to advanced topics of formal
logic. After setting the ground by delving into propositional logic, this
course covers first-order logic and modal logic (with some
focus on normal forms and the algorithmic treatment of logic formulas) as
well as concepts and questions about (un-)decidabilty.
5 credit points are obtained by solving more than 50%
of the problems on the problem sheets plus passing the written exam at
the end of the course.
Exercise Sheets
The 2h lectures are accompanied by problem sheets. Solutions to the problem
sheets will be handed in by the students and discussed in the problem
class. Solutions can be handed in by groups of one or two. Anyway, you
need to try yourself on all exercises, otherwise you will face problems
in the final exam!
Please name your solution files techfakaccount-bln.xxx,
so for instance dfrettloeh-bl2.pdf, or in a group of two like
dfrettloeh+dmerkle-bl2.pdf.
If you present two solutions during the tutorials then you will get one
bonus point in the written exam.
Lecture notes
The lecture notes. Please
let me know if you find any errors, including typos.
Literature:
- Uwe Schöning: Logic for Computer Scientists
- H.-D. Ebbinghaus, J. Flum, W. Thomas: Mathematical Logic
- Wolfgang Rautenberg: A Concise Introduction to Mathematical Logic
- Uwe Schöning: Logik für Informatiker (German)
- Martin Kreuzer, Stefan Kühling: Logik für Informatiker (German. Not a good book, many erros, but one of the few sources for modal logic)
Last change 20.10.2025
Dirk Frettlöh