Truth Table/Examples/(p and q) or (r and s)
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Example of Truth Table
The truth table for the WFF of propositional logic:
- $\paren {p \land q} \lor \paren {r \land s}$:
can be depicted as:
$\begin{array}{ccc|c|ccc} (p & \land & q) & \lor & (r & \land & s) \\ \hline \F & \F & \F & \F & \F & \F & \F \\ \F & \F & \F & \F & \F & \F & \T \\ \F & \F & \F & \F & \T & \F & \F \\ \F & \F & \F & \T & \T & \T & \T \\ \F & \F & \T & \F & \F & \F & \F \\ \F & \F & \T & \F & \F & \F & \T \\ \F & \F & \T & \F & \T & \F & \F \\ \F & \F & \T & \T & \T & \T & \T \\ \T & \F & \F & \F & \F & \F & \F \\ \T & \F & \F & \F & \F & \F & \T \\ \T & \F & \F & \F & \T & \F & \F \\ \T & \F & \F & \T & \T & \T & \T \\ \T & \T & \T & \T & \F & \F & \F \\ \T & \T & \T & \T & \F & \F & \T \\ \T & \T & \T & \T & \T & \F & \F \\ \T & \T & \T & \T & \T & \T & \T \\ \end{array}$
Sources
- 1988: Alan G. Hamilton: Logic for Mathematicians (2nd ed.) ... (previous) ... (next): $\S 1$: Informal statement calculus: $\S 1.2$: Truth functions and truth tables: Exercises $3 \ \text{(f)}$