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Propositional Logic Connectives

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StarStarStarStar

Conditional

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Symbol: \rightarrow Usage: pqp \rightarrow q is false only if pp is true and qq is false.

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Exclusive Or (XOR)

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Symbol: \oplus Usage: pqp \oplus q is true if and only if pp is true or qq is true, but not both.

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Conjunction

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Symbol: \land Usage: pqp \land q is true only if both pp and qq are true.

StarStarStarStar

Negation

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Symbol: ¬\neg Usage: ¬p\neg p is true if pp is false.

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NAND

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Symbol: \uparrow Usage: pqp \uparrow q is true unless both pp and qq are true.

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NOR

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Symbol: \downarrow Usage: pqp \downarrow q is true if both pp and qq are false.

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Disjunction

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Symbol: \lor Usage: pqp \lor q is true if at least one of pp or qq is true.

StarStarStarStar

Biconditional

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Symbol: \leftrightarrow Usage: pqp \leftrightarrow q is true only if both pp and qq have the same truth value.

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