The Four Forms of Omega

We describe four alternative syntactic forms for the object-oriented, rule-based language omega. These notations are all different concrete representations of the same abstract language. The first notation uses a predicate logic style. The second has a stylized natural language format. The third extends the second by providing anaphoric reference. The fourth form drops the linear syntax of the first three in favor of a two-dimensional format based on the idea of a form.