From “Sheep are animals,” it follows that “The head of a sheep is the
head of an animal.” Demonstrate that this inference is valid by carrying
out the following steps:
1. Translate the premise and the conclusion into the language of first-order logic. Use three predicates: ${HeadOf}(h,x)$ (meaning “$h$ is the head of $x$”), ${Sheep}(x)$, and ${Animal}(x)$.
2. Negate the conclusion, and convert the premise and the negated conclusion into conjunctive normal form.
3. Use resolution to show that the conclusion follows from the premise.
1. Translate the premise and the conclusion into the language of first-order logic. Use three predicates: ${HeadOf}(h,x)$ (meaning “$h$ is the head of $x$”), ${Sheep}(x)$, and ${Animal}(x)$.
2. Negate the conclusion, and convert the premise and the negated conclusion into conjunctive normal form.
3. Use resolution to show that the conclusion follows from the premise.
From “Sheep are animals,” it follows that “The head of a sheep is the
head of an animal.” Demonstrate that this inference is valid by carrying
out the following steps:
1. Translate the premise and the conclusion into the language of
first-order logic. Use three predicates: ${HeadOf}(h,x)$ (meaning
“$h$ is the head of $x$”), ${Sheep}(x)$, and ${Animal}(x)$.
2. Negate the conclusion, and convert the premise and the negated
conclusion into conjunctive normal form.
3. Use resolution to show that the conclusion follows from the premise.