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-#
-# Some examples from the documentation for the Omega Calculator
-# This is the input for figures 2 and 3.
-#
-
-R := { [i] -> [i'] : 1 <= i,i' <= 10 && i' = i+1 };
-R;
-inverse R;
-domain R;
-range R;
-R compose R;
-R+; # closure of R = R union (R compose R) union (R compose R ...
-complement R;
-S := {[i] : 5 <= i <= 25};
-S;
-R(S); # apply R to S
-R \ S; # restrict domain of R to S
-R / S; # restrict range of R to S
-(R\S) union (R/S);
-(R\S) intersection (R/S);
-(R/S) - (R\S);
-S*S; # cross product
-D := S - {[9:16:2]} - {[17:19]};
-D;
-T := { [i] : 1 <= i <= 11 & exists (a : i = 2a) };
-T;
-Hull T;
-Hull D;
-codegen D;
-codegen {[i,j] : 1 <= i+j,j <= 10};