9.1. Logical Operators

The usual logical operators are available:

boolean AND boolean → boolean
boolean OR boolean → boolean
NOT boolean → boolean

SQL uses a three-valued logic system with true, false, and null, which represents unknown. Observe the following truth tables:

a b a AND b a OR b
TRUE TRUE TRUE TRUE
TRUE FALSE FALSE TRUE
TRUE NULL NULL TRUE
FALSE FALSE FALSE FALSE
FALSE NULL FALSE NULL
NULL NULL NULL NULL
a NOT a
TRUE FALSE
FALSE TRUE
NULL NULL

The operators AND and OR are commutative, that is, you can switch the left and right operands without affecting the result. (However, it is not guaranteed that the left operand is evaluated before the right operand. See Section 4.2.14 for more information about the order of evaluation of subexpressions.)

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https://www.postgresql.org/docs/13/functions-logical.html