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Site-Directed Insertion: Decision Problems, Maximality and Minimality

Preprint, to appear in the 20th International Conference Descriptional Complexity of Formal Systems (DCFS 2018):

Site-directed insertion is an overlapping insertion operation that can be viewed as analogous to the overlap assembly or chop operations that concatenate strings by overlapping a suffix and a prefix of the argument strings. We consider decision problems and language equations involving site-directed insertion. By relying on the tools provided by semantic shuffle on trajectories we show that one-variable equations involving site-directed insertion and regular constants can be solved. We consider also maximal and minimal variants of the site-directed insertion operation. (Read More)