Mathematical Logic

SS 2017

News

Information

  • Please visit the German version of this page to view current announcements.

Schedule

Type Date Location   Organizer
V3 We 10:15 – 11:30 1420|001 (Grüner Hörsaal) Lecture (Start 26th April) E. Grädel
Th 14:15 – 15:15 1420|002 (Roter Hörsaal) Lecture (Start 20th April) E. Grädel
Th 15:15 – 15:45 1420|002 (Roter Hörsaal) Discussion E. Grädel
Ü2 Fr 10:15 – 11:45 2350|009 (AH I) Group A L. Bohn
Fr 12:15 – 13:45 2356|056 (5056) Group B M. Hoelzel
Fr 12:15 – 13:45 1010|213 (V) Group C R. Lipp
Fr 13:15 – 14:45 Seminarraum i7 Group D S. Schalthöfer
Fr 14:15 – 15:45 1010|213 (V) Group E F. Reinhardt
Mo 08:30 – 10:00 2356|051 (AH VI) Group F C. Welzel
Mo 10:15 – 11:45 2356|051 (AH VI) Group G E. Hüsgen
Mo 12:15 – 13:45 1010|213 (V) Group H T. Görtzen
Mo 14:15 – 15:45 2356|051 (AH VI) Group I R. Wilke
Mo 16:15 – 17:45 2356|051 (AH VI) Group K (in English) G. Douéneau
Di 10:15 – 11:45 2356|051 (AH VI) Group L T. Schumm
Di 14:15 – 15:45 2356|055 (5055) Group M D. Rusin

Lecture Notes

Coursework

Content

  • Propositional logic (foundations, algorithmical questions, compactness, resolution, sequent calculus)
  • Structures, syntax und semantic of the Predicate logic
  • Introduction into other logics (modal and temporal Logics, higher order logics)
  • Evaluation games, model comparison games
  • Proof calculi, term structures, completeness theorem
  • Compactness theorem and applications
  • Decidability, undecidability and complexity of logical specifications

Literature

[1] S. Burris. Logic for Mathematics and Computer Science. Prentice Hall, 1998.
[2] R. Cori and D. Lascar. Logique mathématique. Masson, 1993.
[3] H. Ebbinghaus, J. Flum, and W. Thomas. Einführung in die mathematische Logik. Wissenschaftliche Buchgesellschaft, Darmstadt, 1986.
[4] M. Huth and M. Ryan. Logic in Computer Science. Modelling and reasoning about systems. Cambridge University Press, 2000.
[5] B. Heinemann and K. Weihrauch. Logik für Informatiker. Teubner, 1992.
[6] H. K. Büning and T. Lettman. Aussagenlogik: Deduktion und Algorithmen. Teubner, 1994.
[7] S. Popkorn. First Steps in Modal Logic. Cambridge University Press, 1994.
[8] W. Rautenberg. Einführung in die Mathematische Logik. Vieweg, 1996.
[9] U. Schöning. Logik für Informatiker. Spektrum Verlag, 1995.
[10] D. van Dalen. Logic and Structure. Springer, Berlin, Heidelberg, 1983.

Classification

  • Informatik (B.Sc.)/4. Semester
  • Mathematik (B.Sc.)/Mathematik (WS)/4. Semester
  • Mathematik (B.Sc.)/Mathematik (WS)/6. Semester
  • Mathematik (B.Sc.)/Mathematik (SS)/5. Semester
  • Informatik (S II)
  • Mathematik (S II)/Hauptstudium/B: Algebra und Grundlagen der Mathematik

Prerequisites

  • Basic mathematical knowledge from the lectures Discrete Structures and Linear Algebra
  • Basic knowledge about recursion theory and complexity theory

Successive Courses

  • Algorithmic Model Theory
  • Mathematical Logic II
  • Complexity Theory und Quantum Computing
  • Logic and Games
  • Other specialized lectures around the topic of Mathematical Logic

Recurrence

Every year in the summer term

Contact

Svenja Schalthöfer, Erich Grädel