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FIT-LOGAcad. year: 2014/2015
In the course, the basics of propositional and predicate logics will be taught. First, the students will get acquainted with the syntax and semantics of the logics, then the logics will be studied as formal theories with an emphasis on formula proving. The classical theorems on correctness, completeness and compactness will also be dealt with. After discussing the prenex forms of formulas, some properties and models of first-order theories will be studied. We will also deal with the undecidability of first-order theories resulting from the well-known Gödel incompleteness theorems. Finally, some further important logics will be discussed which have applications in computer science.
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Learning outcomes of the course unit
The students will learn exact formal reasoning to be able to devise correct and efficient algorithms solving given problems. They will also acquire an ability to verify the correctness of given algorithms (program verification).
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Aims
Specification of controlled education, way of implementation and compensation for absences
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Classification of course in study plans
branch MBI , 0 year of study, summer semester, electivebranch MBS , 0 year of study, summer semester, electivebranch MIN , 0 year of study, summer semester, electivebranch MIS , 0 year of study, summer semester, electivebranch MMI , 0 year of study, summer semester, electivebranch MMM , 0 year of study, summer semester, compulsorybranch MPV , 0 year of study, summer semester, electivebranch MSK , 1 year of study, summer semester, compulsory-optionalbranch MGM , 0 year of study, summer semester, elective