Discrete Structures
Section outline
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Predavanja: Matematična indukcija. Izjave, izjavni vezniki.
Lectures: Mathematical induction (pages 5-7); Introduction into propositional logic: atoms, logical connectives, logical formulas, truth tables, equivalence of formulas (pages 95-99).
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Modified 1/10/24, 12:14
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Predavanja: Izjavni izrazi, resničnostna tabela, enakovredni izjavni izrazi. Zakoni izjavnega računa. DNO in KNO. Polni nabori izjavnih veznikov.
Lectures: Laws of propositional logic (pages 11-15); Disjunctive and conjuctive normal form (pages 4-6); Functionally complete sets of connectives
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Predavanja: Lastnosti ekskluzivne disjunkcije. Sklepanje v izjavnem računu. Formalizacija sklepov, definicija pravilnega sklepa, pravila sklepanja, dokaz pravilnosti sklepa. Pomožni sklepi - pogojni sklep, sklep s protislovjem, analiza primerov.
Lectures: Properties of XOR. Logical inference - formalization, rules of inferece, derivation of rules (pages 100-104). Proof by contradiction (section 8 - on this link you can freely download the book), proof by conditional derivation (section 6.2), proof by cases (explained at the bottom of section 3.2).