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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 r likes walks", T(x) means “dog x is a terrier", R(x) means "dog x is a Rottweiler", and S(r,y) means "dog r is smaller than dog y" or equivalently “dog y is larger than dog æ". 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.

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 r likes walks", T(x) means “dog x is a terrier", R(x) means "dog x is a Rottweiler", and S(r,y) means "dog r is smaller than dog y" or equivalently “dog y is larger than dog æ". 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.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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 a likes walks", T(x) means “dog æ is a terrier", R(x) means "dog x is a Rottweiler", and S(x, y) means "dog a is smaller than dog y" or equivalently “dog y is larger than dog r". 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.
Transcribed Image Text: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 a likes walks", T(x) means “dog æ is a terrier", R(x) means "dog x is a Rottweiler", and S(x, y) means "dog a is smaller than dog y" or equivalently “dog y is larger than dog r". 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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