CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Code Completion Credits Range Language
B0B01LGR Z,ZK 5 3P+2S Czech
Garant předmětu:
Marie Demlová
Lecturer:
Alena Gollová
Tutor:
Matěj Dostál, Alena Gollová
Supervisor:
Department of Mathematics
Synopsis:

This course covers basics of mathematical logic and graph theory. Syntax and semantics of propositional and predicate logic are introduced. The importance of the notion of consequence and of the relationship between a formula and its model is stressed. Further, basic notions from graph theory are introduced.

Requirements:

None.

Syllabus of lectures:

Topics in propositional logic (approx. 4 weeks):

Formal language. The language of propositional logic.

Semantics and semantic entailment.

Deriving conclusions (natural deduction).

Topics in predicate logic (approx. 4 weeks):

The language of predicate logic.

Semantics and semantic entailment in predicate logic.

Deriving conclusions (natural deduction).

Topics in graph theory (approx. 6 weeks):

Basic concepts of graph theory.

Trees and minimum spanning trees.

Acyclic graphs. Strong connectivity.

Euler graphs.

Colouring. Planar graphs.

Syllabus of tutorials:

In the exercise classes students solve theoretical and algorithmic problems from logic and graph theory.

Students strenghten and extend their knowledge and skills obtained from the lectures.

Study Objective:

The aim of the course is to introduce students to the basics of mathematical logic and graph theory.

Study materials:

[1] M. Huth, M. Ryan: Logic in Computer Science: Modelling and Reasoning about Systems, Cambridge University Press, 2004.

[2] J. A. Bondy, U. S. R. Murty: Graph theory with applications. Elsevier Science Ltd/North-Holland, 1976.

Note:
Further information:
https://cw.fel.cvut.cz/wiki/courses/b0b01lgr/
Time-table for winter semester 2024/2025:
 06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00 roomT2:C4-36509:15–10:45(lecture parallel1parallel nr.101)DejviceCvičebnaroomT2:C4-36511:00–12:30(lecture parallel1parallel nr.102)DejviceCvičebnaroomT2:C4-36312:45–14:15(lecture parallel1parallel nr.107)DejviceCvicebna roomT2:C4-36509:15–10:45(lecture parallel1parallel nr.106)DejviceCvičebnaroomT2:C4-36511:00–12:30(lecture parallel1parallel nr.104)DejviceCvičebna roomT2:C4-7809:15–10:45(lecture parallel1parallel nr.103)DejviceT2:C4-78roomT2:C4-36411:00–12:30(lecture parallel1parallel nr.105)DejviceCvicebnaroomT2:C4-36516:15–17:45(lecture parallel1parallel nr.108)DejviceCvičebna roomT2:C3-135Gollová A.14:30–16:00(lecture parallel1)DejviceT2:C3-135 roomT2:C3-135Gollová A.11:00–12:30(lecture parallel1)DejviceT2:C3-135
Time-table for summer semester 2024/2025:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-06-16
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet4680706.html