# Boolean logic

## English

### Noun

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Boolean logic (usually uncountable, plural Boolean logics)

1. () A system of symbolic logic that is the basis of Boolean algebra
Boolean logic can be shown to be "embedded" in integer arithmetic (modulo 2) by assigning polynomials to logical connectives, like so: ${\displaystyle NOT(x)=1-x,\quad AND(x,y)=xy,\quad OR(x,y)=x+y-xy.}$