1(a) {
(b) {
(c) {
2(a) {
(b) { }
(c)
3(a) {2,4}
(b)
4.
5 (a) Let S be the set to be defined.
Basis Clause: .
Inductive Clause: If , then .
Extremal Clause: as usual
(b) Let T be the set to be defined.
Basis Clause:
Inductive Clause: If , then .
Extremal Clause: as usual
6 (a)
.
(b)
7 (a) False
(b) False
(c) True
(d) False