Properties
commutativity: yes
associativity: yes
distributivity: with various operations, especially with or
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with exclusive or: with material nonimplication: with itself: |
idempotency: yes
monotonicity: yes
truth-preserving: yes
When all inputs are true, the output is true.
falsehood-preserving: yes
When all inputs are false, the output is false.
Walsh spectrum: (1,-1,-1,1)
Nonlinearity: 1 (the function is bent)
If using binary values for true (1) and false (0), then logical conjunction works exactly like normal arithmetic multiplication.
Read more about this topic: Logical Conjunction
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—Ralph Waldo Emerson (1803–1882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)