Computers and Technology, 04.06.2021 04:40 bay97

Let D be a set of dogs including the particular dogs Cardie (c) and Duncan (d). Define the following predicates on D: W(x) means "dog x likes walks", T(x) means "dog x is a terrier", R(x) means "dog x is a Rottweiler", and S(x, y) means "dog x is smaller than dog y" or equivalently "dog y is larger than dog x". Using the first five of the statements below, prove the last statement using quantifier rules. (Translate the statements into symbolic ones before you start.) • Duncan is a terrier.
• All terriers are smaller than Cardie.
• Cardie is smaller than some Rottweiler.
• If a first dog is smaller than a second dog, and the second is smaller than a third dog, then the first dog is smaller than the third.
• All dogs like walks.
• There is a Rottweiler who is larger than some terrier who likes walks.

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Let D be a set of dogs including the particular dogs Cardie (c) and Duncan (d). Define the following...

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