# Omega Calculator v1.2 (based on Omega Library 1.2, August, 2000):
# 
# a2b:={[1]->[2]};
# 
# a2a:={[i]->[i]};
# 
# b2b2:={[i]->[i+1]};
# 
# b2c3:={[i]->[i]};
# 
# c2c:={[i]->[i]};
# 
# 
# reachable of a in (a,b,c) {
#                   a->b:a2b, b->c:b2c3, a->a:a2a, b->b:b2b2, c->c:c2c,
#                   a:{[1]}
# 	          };

{[1]}

# 
# reachable of b in (a,b,c) {
#                   a->b:a2b, b->c:b2c3, a->a:a2a, a:{[1]}, b->b:b2b2, c->c:c2c
# 	          };

{[2]} union
 {[In_1]: 4 <= In_1} union
 {[3]}

# 
# cr := reachable of c in (a,b,c) { 
#                   a:{[1]},a->b:a2b, b->c:b2c3, a->a:a2a,
# 		  b->b:b2b2, c->c:c2c };
# 
# cr;

{[i]: 3 <= i} union
 {[2]}

#