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

Discrete Mathematical Structures