2.6 Propositional Equivalence

2.6 Propositional Equivalence

Propositional equivalence is a concept in propositional logic. It explains when two logical expressions have the same meaning. Even if expressions look different, they may give the same result. Propositional equivalence is checked using truth tables. If two expressions have the same truth values in all cases, they are equivalent. The symbol "$\equiv$" is used to show equivalence. Propositional equivalence improves clarity in reasoning (as shown in Figure 2.6).

(Figure 2.6: Propositional Equivalence Example)

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Equivalent expressions may look different but always give the same result; they help simplify complex logic.