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TDDB94 | Discrete Mathematics and Logic, Introductory Course, 8 p (sw) /Diskret matematik och logik/ Advancement level: B | |
Aim: To provide the basic foundations of discrete mathematics and logic with emphasis on computer science applications.Prerequisites: NoneCourse organization: Lectures presenting theory and problem solving sessions to practice and illustrate the theory.Course content: Discrete mathematics: Basic set-theory. Relations and functions. The integers. Induction and recursion. Algorithms. The Euclidian algorithm. Complexity theory and analysis of algorithms. Boolean algebra. Graphs and trees. Finite automata. Logic: Valid arguments. Premises and conclusions. Propositional- and predicate logic. Syntax and semantics. Model and proof theory. Derivation rules. Natural deduction. Resolution. Soundness and completeness.Course literature: Björn, A, Turesson, B O: Diskret matematik, 1998. Hansen, K. Grundläggande Logik. Studentlitteratur, 1994. |
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