# Formal Logic

## Where und When:

- Lecture: Tuesday 14:15-15:45 in room T2-204
- Problem class: Tuesday 16-18 in room T2-204 Tutor: Oliver Tautz
- Written exam: Friday 15. February 2019 at 10:00 in H13
- Duration: 100 min
- Allowed tools: Pen (no own paper, no cheat sheet)
- Typical problems would look like exercises (3), (4), 5, 6, 7, 9a, (10), 11, 12, 13, 14, 16, 19, 21, 22, (24), 25, 26, 27, (31), 32 (beide, also A32 von Blatt 8 und A32 von Blatt 9), 33, (34), (37)
, 42, 43, 44, 45, 46, 47, (48)
- Second exam: oral exams, date can be negotiated, just write an email.

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.

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. 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

## Lecture notes

The lecture notes. Please let me know if
you find any errors, including typos.

**Assessment:** 5 Credit points for solving 50% of the exercises on the problem sheets,
and passing the written exam at the end of the course.
- NWI Bachelor: strukturierte Ergänzung
- BIG Bachelor: Wahlpflicht Bioinformatik (benotet oder unbenotet), oder strukturierte Ergänzung
- KOI Bachelor: Wahlpflicht Intelligente Systeme, oder strukturierte Ergänzung
- Informatik Bachelor: Wahlpflicht Informatik, oder strukturierte Ergänzung
- NWI Master: Grundlagen Ergänzung
- BIG Master: Grundlagen Ergänzung
- ISY Master: Grundlagen Ergänzung

## 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)

* Last change 1.4.2019
Dirk Frettlöh
*