Polynomially bounded DOL systems are investigated. Necessary and sufficient conditions on the set of productiosn of a DOL system for yielding a polynomially bounded growth function are given. The relation between the minimal degree of a polynomial bounding a DOL system and the structure of its set of productions is investigated.
Ehrenfeucht, Andrzej and Rozenberg, Grzegorz, "On the Structure of Polynomially Bounded DOL Systems ; CU-CS-023-73" (1973). Computer Science Technical Reports. 22.