Some remarks on non-algebraic adherences

We present some properties of non-algebraic adherences of languages, which can be consistently called context-sensitive adherences, because it is proved that in the Chomsky hierarchy of adherences, context-sensitive and recursive-enumerable adherences coincide. Concerning the center-mapping the traversing from algebraic to non-algebraic takes simple recursive to not necessarily recursive-enumerable. Except for the last equality, the Chomsky hierarchy of adherences is proper: R_Adh ? CF_Adh ? CS_Adh = RE_Adh and moreover, it can be refined in the non-algebraic case by considering the McNaughton-Nivat adherences.Regarding the programming context, adherences occur when we consider the set of divergent computations ‘shapes’ of a program or a program scheme. In this respect, the ‘interpretation’ is powerful enough to translate R_Adh to CS_Adh.