# Boolean Expressions, Logic, and Proof

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## Abstract

The objective of this chapter is to explain the structure of mathematical proofs, especially proofs of correctness of algorithms. Boolean operators are defined by their truth tables. The definition of a valid argument form is intuitive and easily confirmed using a truth table. These are followed by many examples of standard and common patterns of proof: direct and indirect arguments, mathematical induction, and strong mathematical induction.

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© Springer International Publishing AG, part of Springer Nature 2018