Test equivalence of Boolean expressions:

Enter using equiv:

Automatic simplifications:

TraditionalForm formatting:

Prove equivalence between different Boolean expressions:

Truth table for binary Equivalent:

Ternary Equivalent:

Use BooleanConvert to express Equivalent in terms of And and Or:

A well-known representation of two-argument Equivalent in terms of Implies:

This proves that the two representations are indeed equivalent:

Equivalent can be represented in terms of BooleanCountingFunction:

Equivalent with two arguments is equivalent to Xnor:

For more arguments, these are different primitives:

Use Resolve to prove equivalence of two systems of equations:

Equivalent is effectively Equal for Boolean expressions: