  We further develop the abstract algebraic logic approach to input/output
logic initiated in \cite{wollic22}, where the family of selfextensional logics
was proposed as a general background environment for input/output logics. In
this paper, we introduce and discuss the generalizations of several types of
permission (negative, dual negative, static, dynamic), as well as their
interactions with normative systems, to various families of selfextensional
logics, thereby proposing a systematic approach to the definition of normative
and permission systems on nonclassical propositional bases.
