Properties
commutativity: yes
associativity: yes
distributivity: Biconditional doesn't distribute over any binary function (not even itself),
but logical disjunction (see there) distributes over biconditional.
idempotency: no
monotonicity: no
truth-preserving: yes
When all inputs are true, the output is true.
falsehood-preserving: no
When all inputs are false, the output is not false.
Walsh spectrum: (2,0,0,2)
Nonlinearity: 0 (the function is linear)
Read more about this topic: Logical Biconditional
Famous quotes containing the word properties:
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—John Locke (1632–1704)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)