[ Lehrveranstaltungen 185/2 ]
[ AG Theoretische Informatik und Logik ]
[ Fachbereich Informatik ]
[ Technische Universität Wien ]
2.0 VU Nichtklassische Logiken (185.249, WS 2016/17)
This course will be held in English.
- Please register for this course in TISS.
(No negative consequences result from dropping the course later.)
The first meeting
took place Friday. October 7.
If you want to participate, but can not join this first
meeting, drop an email to
The next (8th) meeting
Friday, December 16, 2016,
11:00 - 13:00
Seminar Room von Neumann
Favoritenstraße 9 / ground floor
- Please submit your solutions to exercises till latest Wednesday before the next meeting (Friday).
Reminder: Please mention "NCL exercises" in the subject line!
Submit requests/suggestions for topics to be discussed at the last meeting to
- short reminder on the main concepts
of classical first order logic
- informal classification and
overview over the vast area
of 'nonclassical logics' for orientation
- In the main part of the course we plan to cover the
following areas and topics:
- Modal logics (this will be our main topic):
- What are modal logics? What are they used for?
- Introduction into the general theory of modal logics:
syntax, (Kripke style) semantics,
proof systems, expressibility, 'correspondence theory',
relations between important modal logics, multi-modal logics, ...
- Epistemic logic(s) (for modelling multi-agent systems)
- Hints at other families of modal logics:
temporal logic, deontic logic, dynamic logic, provability logic, ...
- Constructive logic (intuitionistic logic):
- general motivation
- different semantics: Kripke/Beth style semantics,
Brouwer-Heyting-Kolmogorov interpretation, topological semantics
- different proof systems: Hilbert type, sequent system(s),
'natural deduction', ...
- dialogue games characterizing constuctive (and other) logics
- Selected topics on other types of logics, e.g.,:
- many valued logics, fuzzy logics
- game semantics, dialogue games
- dynamic epistemic logic
- relevance logic
Basic knowledge about classical propositional and first-order logic
as covered, e.g., in "Theoretische Informatik und Logik".
TEST YOURSELF whether you are fit for this course:
You should be able to prove without handwaving (and
preferably without consulting any book or notes)
that (forall x) (exists y) P(x,y) is a logical consequence of
(exists x) (forall y) P(y,x), and to (rigorously) show that
the converse does not hold.
In particular you should be able to present a formal definition
of the (logical) consequence relation and of a (formal)
model/interpretation of a classical first-order formula.
The course will take place in slightly blocked form on 9 or 10
Various course material - in particular copies of the lecture slides, including
the homework problems ('exercises') -
will be made available here (and/or in the lecture) to all participants.
- Slides, lecture 1 on 7/10/16: [PDF]
- Slides, lecture 2 on 21/10/16: [PDF]
- Slides, lecture 3 on 28/10/16: [PDF]
- Slides, lecture 4 on 4/11/16: [PDF]
- Slide for lecture 5 on 4/18/16: [PDF].
- Nice lecture notes by Alessandro Mosca on
- Three additional handouts:
- Slides, lecture 6 on 25/11/16: [PDF]
- Lecture 7 on 2/12/2016:
Material on the Muddy Children and Three Wise Men examples:
Some links regarding other epistemic puzzles:
We strongly recommend the use of LaTeX.
Useful style files are available from
Latex for Logicians.
For drawing graphs and automata - and thus also Kripke models -
the LaTeX package
VauCanSon-G should be useful. More options for automata/graph drawing
with LaTeX can be found at MET - Automata in LaTeX.
Also the TeX/LaTeX extension PGF/TikZ is well worth exploring.
Include the problem statement, its number
(`Exercise X: ... ') and your name
in the submitted solution files. Send corresponding
(uncompressed) PDF files via
email to Chris Fermüller
using "NCL exercises" as subject line.
The evaluation will be based on the amount and quality of
submitted solutions to the exercises (as assigned during the course).
Send COMMENTS/REQUESTS to Chris Fermüller
[ LVAs 185/2
| Abteilung 185/2
| Institut 185
| TU Wien
| Server home page