Generalized² sequential machine maps

The introduction of syntax directed translations and transformations into formallanguage theory presents a very interesting area with considerable promise of application to questions of syntax and semantics of programming languages. The concept of generalized sequential machine (gsm) mapping (already of importance in language theory) is developed here in its natural extension to trees (or expressions). That generalized concept of gsm mapping encompasses most of the previously defined concepts relating to translations and transformations. © 1970 Academic Press, Inc.