Discrete Mathematical Structures

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What is Discrete Mathematics – 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 – Special Properties of Relations – Closure of Relations – Order and Relations and Equivalence Relations: Equivalence relations and partitions – Functions – Pigeon hole Principle – Permutations and combinations – Generating Functions- Recurrence Relations – Algebras – Finite State Automaton – Lattices

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