CS 281 Solutions to Test 2

1(a) { tex2html_wrap_inline25
(b) { tex2html_wrap_inline27
(c) { tex2html_wrap_inline29

2(a) { tex2html_wrap_inline31
(b) { tex2html_wrap_inline33 }
(c) tex2html_wrap_inline35

3(a) {2,4}
(b) tex2html_wrap_inline35

4. tex2html_wrap_inline41

5 (a) Let S be the set to be defined.
Basis Clause: tex2html_wrap_inline45 .
Inductive Clause: If tex2html_wrap_inline47 , then tex2html_wrap_inline49 .
Extremal Clause: as usual

(b) Let T be the set to be defined.
Basis Clause: tex2html_wrap_inline53
Inductive Clause: If tex2html_wrap_inline55 , then tex2html_wrap_inline57 .
Extremal Clause: as usual

6 (a) tex2html_wrap_inline59
tex2html_wrap_inline61 .
(b) tex2html_wrap_inline63
tex2html_wrap_inline65

7 (a) False
(b) False
(c) True
(d) False





S. Toida
Wed Jun 17 18:19:30 EDT 1998