2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228011A language $L$ is the orthogonal catenation of languages $L_1$ and $L_2$ if every word of $L$ can be written in a unique way as a catenation of a word in $L_1$ and a word in $L_2$. We establish a tight bound for the state complexity of orthogonal catenation of regular languages. The bound is smaller than the bound for arbitrary catenation.DCFS 2008Formal Languages and Automata Theorytext