Section 4.3 Analyzing Logical Equivalences
Subsection 4.3.1 Equivalent Statements
When working with Sage symbolic logic, the
==
operator compares semantic equivalence.Do not attempt to compare equivalence of truth tables.
However, we can compare equivalence of truth table
lists
.Subsection 4.3.2 Tautologies
A tautology is a logical statement that is always true. The
is_tautology()
function checks whether a given logical expression is a tautology.Subsection 4.3.3 Contradictions
In contrast to tautologies, contradictions are statements that are always false.