Boolean logic

Logical connective

An operation that combines or changes truth values.

Definition

Logical connective

A logical connective forms a new formula from one or more formulas.

Common connectives include not, and, or, implication, and equivalence. Each connective has a fixed truth condition.

01

Example

P and Q is true only when both P and Q are true.

02

Important distinction

The word 'or' is inclusive in standard logic unless a system states an exclusive meaning.

After reading this article, you should be able to

  • Define Logical connective in the sense used on this site.
  • Compute not, and, or, and implication for given truth values.