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Consider a language with atomic sentences p, q, r and connectives \wedge, \...

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Consider a language with atomic sentences p, q, r and connectives $\wedge, \neg$ \wedge, \neg. Which of the following are sentences of this language? There might be more (or less) than one correct answer: make sure to choose *all* correct answers.

$\neg\neg\neg (p \wedge \neg q)$ \neg\neg\neg (p \wedge \neg q)

67%

$(p \wedge q) \wedge \neg s$ (p \wedge q) \wedge \neg s

❌

$(p \neg q) \neg \wedge r$ (p \neg q) \neg \wedge r

❌

$\neg\neg\neg (p \wedge r))$ \neg\neg\neg (p \wedge r))

❌

$(p \wedge q) \wedge \neg r$ (p \wedge q) \wedge \neg r

67%

$\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg q$ \neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg\neg q

✅

$(p \vee q) \wedge \neg r$ (p \vee q) \wedge \neg r

❌

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