XIV

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Logical connectives
AND A B {\displaystyle A\land B} , A B {\displaystyle A\cdot B} , A B {\displaystyle AB} , A & B {\displaystyle A\&B} , A & & B {\displaystyle A\&\&B}
equivalent A B {\displaystyle A\equiv B} , A B {\displaystyle A\Leftrightarrow B} , A B {\displaystyle A\leftrightharpoons B}
implies A B {\displaystyle A\Rightarrow B} , A B {\displaystyle A\supset B} , A B {\displaystyle A\rightarrow B}
NAND A ¯ B {\displaystyle A{\overline {\land }}B} , A B {\displaystyle A\uparrow B} , A B {\displaystyle A\mid B} , A B ¯ {\displaystyle {\overline {A\cdot B}}}
nonequivalent A B {\displaystyle A\not \equiv B} , A B {\displaystyle A\not \Leftrightarrow B} , A B {\displaystyle A\nleftrightarrow B}
NOR A ¯ B {\displaystyle A{\overline {\lor }}B} , A B {\displaystyle A\downarrow B} , A + B ¯ {\displaystyle {\overline {A+B}}}
NOT ¬ A {\displaystyle \neg A} , A {\displaystyle -A} , A ¯ {\displaystyle {\overline {A}}} , A {\displaystyle \sim A}
OR A B {\displaystyle A\lor B} , A + B {\displaystyle A+B} , A B {\displaystyle A\mid B} , A B {\displaystyle A\parallel B}
XNOR A   XNOR   B {\displaystyle A\ {\text{XNOR}}\ B}
XOR A _ B {\displaystyle A{\underline {\lor }}B} , A B {\displaystyle A\oplus B}
converse A B {\displaystyle A\Leftarrow B} , A B {\displaystyle A\subset B} , A B {\displaystyle A\leftarrow B}
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