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authordhuth <derickhuth@gmail.com>2014-11-21 13:35:20 -0700
committerdhuth <derickhuth@gmail.com>2014-11-21 13:35:20 -0700
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+# Omega Calculator [v1.1, Nov 96]:
+# #
+# # Examples of relations using uninterpreted function symbols
+# # from Omega Calculator documentation
+# #
+#
+# symbolic p(2), n, m;
+#
+# R := { [ir,jr] : 1 <= ir <= n && 1 <= jr <= m };
+#
+# W1 := { [iw,jw] : 1 <= iw <= n && 1 <= jw <= m && p(Set) >= 0 };
+#
+# W2 := { [iw,jw] : 1 <= iw <= n && 1 <= jw <= m && p(Set) < 0 };
+#
+# Exposed := R intersection complement ( W1 union W2 );
+#
+# Exposed;
+
+{[In_1,In_2] : FALSE }
+
+#
+#
+# symbolic f(1);
+#
+# R1 := { [i] -> [j] : 1 <= i = j <= 100 && f(In) <= f(Out)};
+#
+# R2 := { [i] -> [j] : 1 <= i <= j <= 100 && f(In) = f(Out)};
+#
+#
+# R1 intersection R2;
+
+{[i] -> [i] : 1 <= i <= 100}
+
+#
+# R1 union R2;
+
+{[i] -> [j] : f(j) = f(i) && 1 <= i < j <= 100} union
+ {[i] -> [i] : 1 <= i <= 100}
+
+#
+# R1 intersection complement R2;
+
+{[i] -> [j] : FALSE }
+
+#
+# R1;
+
+{[i] -> [i] : 1 <= i <= 100}
+
+#