Question
Construct the truth table for each of the following statement patterns.
i) $\quad p \rightarrow(q \rightarrow p)$
ii) $(\sim p \vee q) \leftrightarrow \sim(p \wedge q)$
iii) $\sim(\sim p \wedge \sim q) \vee q$
iv) $[(p \wedge q) \vee r ] \wedge[\sim r \vee(p \wedge q)]$
v) $[(\sim p \vee q) \wedge(q \rightarrow r )] \rightarrow(p \rightarrow r )$
i) $\quad p \rightarrow(q \rightarrow p)$
ii) $(\sim p \vee q) \leftrightarrow \sim(p \wedge q)$
iii) $\sim(\sim p \wedge \sim q) \vee q$
iv) $[(p \wedge q) \vee r ] \wedge[\sim r \vee(p \wedge q)]$
v) $[(\sim p \vee q) \wedge(q \rightarrow r )] \rightarrow(p \rightarrow r )$