A Mathematical Model of Transformational Grammars

One of the primary goals of linguistics is to find a suitable model of natural (human) language. Among the models proposed, one of them, the transformational grammar (abbreviated T-grammar) seems very promising and, in the past decade, has received considerable attention from linguists. At present, there are numerous alternative forms of the model under serious consideration. In fact, there is a noticeable lack of unanimity among linguists with respect to a number of aspects of the theory. As yet, no mathematical model has been given which encompasses most of these different versions of a T-grammar. 1 The purpose of