[ Lehrveranstaltungen 185/2 ]
[ AG Theoretische Informatik und Logik ]
[ Fachbereich Informatik ]
[ Technische Universität Wien ]
2.0 VU Nichtklassische Logiken (185.249, WS 2014/15)
This course will be held in English.
The final (nineth) meeting
Friday, January 16, 2015,
11:00 - 13:00
Seminar Room von Neumann
Favoritenstraße 9 / ground floor
- As requested, also LaTeX sources are online now, below.
- 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
- modal epistemic 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 8 or 9
Fridays in October, November, December, and January.
Lectures are currently planned for the following dates in winter term
Oct 10, Oct 17, Oct 24, Oct 31,
Nov 7, Nov 14, Nov 28,
Friday, 11:00 (sharp) - (about) 13:00
Seminar Room von Neumann or Gödel (depending on the date)
Favoritenstraße 9 / ground floor
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.
- Latex Style file for the slides: [LaTeX]
- Slides, lecture 1 on 10/10/14: [PDF],
- Slides, lecture 2 on 17/10/14: [PDF],
- Slides, lecture 3 on 24/10/14: [PDF]
- Slides, lecture 4 on 31/10/14: [PDF]
- Slides, lecture 5 on 7/11/14: [PDF]
- Nice lecture notes by Alessandro Mosca on
- Two handouts for Sessions 4 and 5:
- Slides, lecture 6 on 14/11/14: [PDF]
Additional material on the Muddy Children and Three Wise Men examples:
See below for links to further information on epistemic modal logic.
- Slides, lecture 7 on 28/11/14: [PDF] (one page, no exercises)
- Slides, lecture 8 on 5/12/14: [PDF]
- Slides, lecture 9 on 16/1/14: [PDF]
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
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