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arXiv · 2208.03123

Watson-Crick conjugates of words and languages

Kalpana Mahalingam·Anuran Maity
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Abstract

In this work, we explore the concept of Watson-Crick conjugates, also known as $\theta$-conjugates (where $\theta$ is an antimorphic involution), of words and languages. This concept extends the classical idea of conjugates by incorporating the Watson-Crick complementarity of DNA sequences. Our investigation initially focuses on the properties of $\theta$-conjugates of words. We then define $\theta$-conjugates of a language and study closure properties of certain families of languages under the $\theta$-conjugate operation. Furthermore, we analyze the iterated $\theta$-conjugate of both words and languages. Finally, we discuss the idea of $\theta$-conjugate-free languages and examine some decidability problems related to it.

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Kalpana Mahalingam, Anuran Maity. 2022-08-05. Watson-Crick conjugates of words and languages. https://doi.org/10.46298/dmtcs.13593

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