Discrete Structures

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Propositional Logic – Predicates & Quantifiers – Logical Inference – Resolution Principles & Application to PROLOG – Methods of Proof – Normal Forms – Proving programs correct – Sets – Induction – Set Operations on Strings Over an Alphabet – Relations – Graphs – Trees – Trees and Graphs – Special Properties of Relations – Closure of Relations – Order Relations – Order and Relations and Equivalence Relations – Equivalence relations and partitions – Functions – Pigeonhole Principle – Permutations and combinations – Generating Functions – Recurrence Relations – Algebras – Finite State Automaton – Lattices

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