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Computer Science 260 Assignment 6: Sets The identities of set theory are remarkably similar to the identities of logic. Table 6.2.2 lists a dozen identities.
Computer Science 260 Assignment 6: Sets The identities of set theory are remarkably similar to the identities of logic. Table 6.2.2 lists a dozen identities. Several of them have two parts. The course notes contain proofs of the following: 3. Distributive Law 9. de Morgan's Law and several set difference laws. During the tutorials, the tutorial leader additionally provided proofs of 10. Absorption 12.Set Difference For practice, you should prove all the set identity laws in 6.2.2. For this assignment, do the following: 1. Double complement law. 2. Show that if P Q and R n P is empty, then R n P = 0. 3. For all sets P, Q, R, if Q n R = , then (Q-P) n (R-P) = . Computer Science 260 Assignment 6: Sets The identities of set theory are remarkably similar to the identities of logic. Table 6.2.2 lists a dozen identities. Several of them have two parts. The course notes contain proofs of the following: 3. Distributive Law 9. de Morgan's Law and several set difference laws. During the tutorials, the tutorial leader additionally provided proofs of 10. Absorption 12.Set Difference For practice, you should prove all the set identity laws in 6.2.2. For this assignment, do the following: 1. Double complement law. 2. Show that if P Q and R n P is empty, then R n P = 0. 3. For all sets P, Q, R, if Q n R = , then (Q-P) n (R-P) =
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