Context-Free Systems with a Complementarity Relation

Abstract

Motivated by the studies on Watson-Crick finite automata and Watson-Crick L systems, we introduce a generative device known as a Watson-Crick context-free system (WKCFS) making use of a complementarity relation and a context-free type of rewriting on double-stranded strings with the symbols in the string in the lower strand complementary to the symbols of the string in the upper strand. The language generated by a WKCFS is the set of all strings in the upper strands of the double-stranded strings (u, v) generated such that the strings u, v are of the same length and the corresponding symbols in the strings u, v are related by the complementarity relation. We compare the generative power of WKCFS with some families of languages and also certain variants of Watson-Crick finite automata.