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Instructors: Prof. Dr. phil. nat. Ulrich Kohlenbach; Dr. Pedro Pinto; Marius Fabian Tritschler
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
FGdI II
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
German
Min. | Max. participants:
- | -
Course Contents:
syntax and semantics of propositional logic,
functional completeness and normal forms, compactness, complete proof calculi: resolution and a sequent calculus;
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syntax and semantics of first-order logic,
structures and assignments, normal forms, Skolemization, Herbrand theorem, compactness, complete proof calculi: (ground) resolution and a sequent calculus,
Gödel's Completeness Theorem;
undecidability of first-order logic;
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optional: digressions on expressiveness and model checking
Literature:
Burris: Logic for Mathematics and Computer Science
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Schöning: Logik für Informatiker
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Boolos, Burgess, Jeffrey: Computability and Logic
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Skript (2 Teile, elektronisch unter www.mathematik.tu-darmstadt.de/˜otto)
Preconditions:
automata, formal languages and decidability
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