M007 Mathematical Logic

Faculty of Informatics
Autumn 1995
Extent and Intensity
0/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
prof. RNDr. Jiří Rosický, DrSc. (lecturer)
Guaranteed by
Contact Person: prof. RNDr. Jiří Rosický, DrSc.
Prerequisites
Prerequisites M005 Foundations 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
Language of instruction
Czech
The course is also listed under the following terms Autumn 1996, Autumn 1997, Autumn 1998, Autumn 1999, Autumn 2000, Autumn 2001.
  • Enrolment Statistics (Autumn 1995, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn1995/M007