@article{PabloAlarconArroyoBordihnetal.2015, author = {Pablo Alarcon, Pedro and Arroyo, Fernando and Bordihn, Henning and Mitrana, Victor and Mueller, Mike}, title = {Ambiguity of the multiple interpretations on regular languages}, series = {Fundamenta informaticae}, volume = {138}, journal = {Fundamenta informaticae}, number = {1-2}, publisher = {IOS Press}, address = {Amsterdam}, issn = {0169-2968}, doi = {10.3233/FI-2015-1200}, pages = {85 -- 95}, year = {2015}, abstract = {A multiple interpretation scheme is an ordered sequence of morphisms. The ordered multiple interpretation of a word is obtained by concatenating the images of that word in the given order of morphisms. The arbitrary multiple interpretation of a word is the semigroup generated by the images of that word. These interpretations are naturally extended to languages. Four types of ambiguity of multiple interpretation schemata on a language are defined: o-ambiguity, internal ambiguity, weakly external ambiguity and strongly external ambiguity. We investigate the problem of deciding whether a multiple interpretation scheme is ambiguous on regular languages.}, language = {en} }