Question
Write a short note: $1.$ Limit of simple computational scope.
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| $(P\ \&\ R)\ v\ (S\ \rightarrow\ T)$ |
| $Q \rightarrow \sim\ (P\ \&\ R)$ |
| $P\ v\ Q$ |
| $\sim\ P$ |
| $(S\ \rightarrow\ T)\ \&\ Q$ |
| $(P \rightarrow Q)\ \&\ (R \rightarrow S)$ |
| $(Q \rightarrow T)\ \&\ (S \rightarrow P)$ |
| $\sim T$ |
| $\therefore \sim R\ \&\ \sim T$ |
| $E\rightarrow (F\ \&\ \sim G)$ |
| $( F\ v\ G)\rightarrow H$ |
| $E$ |
| $\therefore H$ |
| $A\ \rightarrow\ B$ |
| $(R\ \&\ D)\ v\ A$ |
| $T\ v\ [(R\ \&\ D)\ \rightarrow\ W]$ |
| $D\ \&\ \sim\ T$ |
| $\therefore\ [D\ \&\ (W\ v\ B)])\ v\ \sim\ A$ |
| (~ X v ~ Y) $\rightarrow$ [A $\rightarrow$ (P & ~ Q)] |
| (~ X & ~R) $\rightarrow$ [(P & ~Q) $\rightarrow$ Z) |
| (~ X & ~R) & (~ Z v A) |
| $\therefore$ (A $\rightarrow$ Z) v ~ R |
| $(P \rightarrow\ Q)\ \&\ R$ |
| $E\ \&\ F$ |
| $\therefore [(F\ \&\ G)\ \&\ R ]\ \&\ E$ |