1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
|
symbolic n;
symbolic c;
# # Omega Calculator [v1.00, Mar 96]:
# #
# #
# #
# # R := {[i,j] : 1 <= i <= 10 && 1 <= j <= n};
# #
# # R;
#
# {[i,j]: 1 <= i <= 10 && 1 <= j <= n}
#
# #
# # ac := approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 :
# # 0 <= lambda0, lambda1,lambda2,lambda3,lambda4
# # && c = lambda0-lambda1+ 10 lambda2 - lambda3
# # && i = lambda1-lambda2
# # && j = lambda3-lambda4
# # && n = lambda4)};
# #
# # ac;
#
# {[i,j]: 0 <= n && 0 <= n+c+i+j && 0 <= n+c+10i+j && 0 <= n+j}
#
# #
# #
# # #ac intersection {[i,j] : i = 1 && c = -1} ;
# # #ac intersection {[i,j] : i = -1 && c = 10} ;
# # #ac intersection {[i,j] : j = 1 && c = -1 } ;
# # #ac intersection {[i,j] : j = -1 && n = 1} ;
# #
approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 :
0 <= lambda0,lambda1,lambda2,lambda3,lambda4
&& n = lambda1+lambda2+lambda3+lambda4
&& i = lambda2+10lambda3
&& j = lambda2+lambda3+lambda4
&& c = lambda0+lambda2+lambda3
&& c = 1
)};
approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 :
0 <= lambda1,lambda2,lambda3,lambda4
&& n = lambda1+lambda2+lambda3+lambda4
&& i = lambda2+10lambda3
&& j = lambda2+lambda3+lambda4
&& c = lambda2+lambda3
&& c = 1
)};
approximate {[i,j] : exists (lambda0, lambda1,lambda2,lambda3,lambda4 :
0 <= lambda1,lambda2,lambda3,lambda4
&& n = lambda1+lambda2+lambda3+lambda4
&& i = lambda2+10lambda3
&& j = lambda2+lambda3+lambda4
&& c = lambda2+lambda3
)};
|