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Applied Mathematics for Database Professionals by Toon Koppelaars, Lex de Haan

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As announced in Chapter 1’s introduction, this third chapter about logic continues where the first one stopped.

In the section “Algebraic Properties,” we’ll revisit rewrite rules to focus on certain algebraic properties of our logical connectives: identity, commutativity, associativity, distributivity, reflexivity, transitivity, idempotence, double negation, and absorption.

In the section “Quantifiers,” we’ll explore quantification. Quantification over a set is a powerful concept to bind parameters, and as such it’s important in data management. The two most important quantifiers are the universal quantifier (represented by the symbol ∀ and read ...

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