eolas/Logic/Propositional_logic/Boolean_algebra.md
2022-12-18 13:00:05 +00:00

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---
categories:
- Logic
tags: [propositional-logic, algebra]
---
# Boolean algebra
Many of the laws that obtain in the mathematical realm of algebra also obtain for Boolean expressions.
## The Commutative Law
$$
x \land y = y \land x \\
$$
$$
x \lor y = y \lor x
$$
## The Associative Law