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Material Type: Assignment; Professor: Caldwell; Class: Discrete Structures; Subject: Computer Science; University: University of Wyoming; Term: Unknown 1989;
Typology: Assignments
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HW 13 Prof. Caldwell Due: 26 February COSC 2300
Recall: The powerset of a set A is written ρ(A) and is the set of all subsets of A. We charaterized the power set by saying what it means to be an element of such a set.
x ∈ ρ(A) def = x ⊆ A
a.) ρ(A) =
b.) ρ(B) =
c.) ρ(∅) =
〈a, b〉 = {{a}, {a, b}}
Let A = { 1 } and B = {a}, write down the elements of ρ(ρ(A ∪ B)) (there should be 16 of them) and indicate which are valid encodings of ordered pairs.