Loops & Formal Languages

Using the loop based taxonomy of digital systems results: Then there is the following morphism between the loop based taxonomy of digital machines and the Chomsky's taxonomy of formal languages: If the "expressiveness" of formal languages increases (from type 3 to type 1), then the autonomy of the machines used to recognize or to generate them increases accordingly (from 2-loop machines to 4-loop machines).


[Stefan '91] Gh. Stefan,: Functie si structura in sistemele digitale (Function and Structure in Digital Systems), Ed. Academiei Romane, Bucuresti, 1991.
[Stefan '97] Gh. Stefan: Circuit Complexity, Recursion, Grammars and Information. Multiple Morphisms, Ed. Transilvania University of Brasov, 1997.
[Stefan work in endless progress] Gh. Stefan: Loops & Complexity in Digital Systems. Lecture Notes on Digital Design in the Giga-Gate/Chip Era
[Stefan '07] Gheorghe Stefan: "Chomsky's Hierarchy & a Loop_Based Taxonomy for Digital Systems", in Romanian Journal of Information Science and Technology vol. 10, no. 2, 2007.