4 votes 4 votes Let’s consider the interpretation $v$ where $v(p) = F, v(q) = T, v(r) = T.$ Which of the following propositional formulas are satisfied by $v$? $(p \rightarrow \neg q) \vee \neg(r \wedge q)$ $(\neg p \vee \neg q) \rightarrow (p \vee \neg r)$ $\neg(\neg p \rightarrow \neg q) \wedge r$$\neg (\neg p \rightarrow q \wedge \neg r)$ Mathematical Logic goclasses goclasses_wq3 mathematical-logic propositional-logic multiple-selects 1-mark + – GO Classes asked Mar 23, 2022 • retagged May 1, 2022 by Lakshman Bhaiya GO Classes 852 views answer comment Share Follow See 1 comment See all 1 1 comment reply akshaw commented May 14, 2022 reply Follow Share v(p) = F means that in the interpretation v, the truth value of p = F. Likewise, v(p) = T will mean that in the interpretation v, the truth value of p = T. 0 votes 0 votes Please log in or register to add a comment.
6 votes 6 votes An interpretation of formula $Z$, in propositional logic, is truth assignment to all the propositional variables of $Z$. An interpretation $I$ satisfies $Z$ if and only if $Z$ is true in $I$. $v$ satisfies $A, C$ and $D$. $v$ does not satisfy $B$. GO Classes answered Mar 23, 2022 • edited Mar 24, 2022 by soujanyareddy13 GO Classes comment Share Follow See all 0 reply Please log in or register to add a comment.
