M5150 Mathematical Logic

Faculty of Science
Autumn 1999
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jiří Kaďourek, CSc. (lecturer)
Guaranteed by
prof. RNDr. Jiří Rosický, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Jiří Kaďourek, CSc.
Prerequisites (in Czech)
M1120 Fundamentals of mathematics
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Propositional logic: propositional formulas, truth, provability, completeness theorem
  • Predicate logic: predicate formulas
  • Semantics of predicate logic: realizations, truth, validity
  • Axioms of predicate logic: provability, correctness, deduction theorem
  • Completeness theorem: Henkin theory, Gödel completeness theorem
  • Compactness theorem: compactness theorem, Löwenheim-Skolem theorem
  • Complete theories: elementary equivalence, complete theory, Los-Vaught theorem
Literature
  • KOLÁŘ, Josef, Olga ŠTĚPÁNKOVÁ and Michal CHYTIL. Logika, algebry a grafy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1989, 434 s. info
  • ŠTĚPÁNEK, Petr. Matematická logika. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1982, 281 s. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/M5150