@article{eprints3952, author = {Anna Labella and Rocco De Nicola}, publisher = {Institute of Informatics, University of Szeged}, note = {SCOPUS ID: 2-s2.0-85020128814}, journal = {Acta Cybernetica}, year = {2017}, title = {Initial Algebra for a System of Right-Linear Functors}, pages = {191--201}, number = {1}, volume = {23}, url = {http://eprints.imtlucca.it/3952/}, abstract = {In 2003 we showed that right-linear systems of equations over regular expressions, when interpreted in a category of trees, have a solution whenever they enjoy a specific property that we called hierarchicity and that is instrumental to avoid critical mutual recursive definitions. In this note, we prove that a right-linear system of polynomial endofunctors on a cocartesian monoidal closed category which enjoys parameterized left list arithmeticity, has an initial algebra, provided it satisfies a property similar to hierarchicity.} }