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Abstract
In this paper, we study a generalization of the classical notions of language equations: involution language equations. This notion is motivated by DNA strand design where Watson–Crick complementarity can be modular as an antimorphic involution function. Characterizations of words u and languages A and B which satisfy the equation θ(u)B=Au are obtained. For a language L, solutions of the equation θ(L)B=AL are considered. We also study the characteristics of L θ-commutative equivalent languages.
Acknowledgements
The authors would like to thank the referees for their careful reading of the manuscript and useful suggestions.