Cascaded ATN grammars

this paper, I will present a generalization of the notion of ATN grammar, called a cascaded ATN or CATN, that capitalizes f. urther on the principle of factoring in a manner similar to serial decomposition of finite state machines. A CATN consists of a sequence of ATN transducers each of which takes its input from the output of the previous. An ATN transducer is an ATN that includes among its actions an output operation (TRANSMIT) which can be executed on arcs to generate elements of an output sequence. Such an ATN cascade gains a factoring advantage from merging common compu- tations at early stages of the cascade