Generalised sequential crossover of words and languages

Details Generalised sequential crossover of words and languages Generalised sequential crossover of words and languages

2009-02-20

arxiv.org/abs/0902.3503v1

Computer Science

Discrete Mathematics

23 pages, 3 figures

Scientific paper

In this paper, we propose a new operation, Generalised Sequential Crossover (GSCO) of words, which in some sense an abstract model of crossing over of the chromosomes in the living organisms. We extend GSCO over language $L$ iteratively ($GSCO^*(L)$ as well as iterated GSCO over two languages $GSCO^*(L_1,L_2)$). Our study reveals that $GSCO^*(L)$ is subclass of regular languages for any $L$. We compare the different classes of GSCO languages with the prominent sub-regular classes.

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