Mathematical Logic

SS 2017

Anmeldung zum MaLo-Portal
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Information

  • Please visit the German version of this page to register for the exercise classes and to view current announcements.

Schedule

TypeDateLocation Organizer
V3We10:1511:301420|001 (Grüner Hörsaal)LectureE. Grädel
Th14:1515:151420|002 (Roter Hörsaal)LectureE. Grädel
Th15:1515:451420|002 (Roter Hörsaal)DiscussionE. Grädel
Ü2Fr10:1511:452350|009 (AH I)Gruppe A
Fr12:1513:452356|055 (5056)Gruppe B
Fr12:1513:451010|213 (V)Gruppe C
Fr13:1514:452356|051 (AH VI)Gruppe D
Fr14:1515:451010|213 (V)Gruppe E
Mo08:3010:002356|051 (AH VI)Gruppe F
Mo10:1511:452356|051 (AH VI)Gruppe G
Mo12:1513:451010|213 (V)Gruppe I
Mo14:1515:452356|051 (AH VI)Gruppe J
Mo16:1517:452356|051 (AH VI)Gruppe K
Di10:1511:452356|051 (AH VI)Gruppe L
Di14:1515:452356|055 (5055)Gruppe M

Lecture Notes

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