Propositional logic is a branch of logic that deals with statements that can be either true or false. Propositional logic is used extensively in computer science, as it provides a formal framework for reasoning about Boolean expressions and logical statements.

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Discrete mathematics is a branch of mathematics that deals with mathematical structures that are fundamentally discrete, meaning that they are made up of distinct, individual elements rather than continuous values. Discrete mathematics is used extensively in computer science, as it provides a rigorous framework for reasoning about computer programs, algorithms, and data structures. In this paper, we will cover the basics of discrete mathematics and proof techniques that are essential for computer science.

A truth table is a table that shows the truth values of a proposition for all possible combinations of truth values of its variables.

Set theory is a fundamental area of discrete mathematics that deals with collections of objects, known as sets. A set is an unordered collection of unique objects, known as elements or members. Sets can be finite or infinite, and they can be used to represent a wide range of data structures, including arrays, lists, and trees.

Mathematical induction is a proof technique that is used to establish the validity of statements that involve integers.