English

Obligations and permissions, algebraically

Logic 2024-03-08 v2

Abstract

We further develop the algebraic approach to input/output logic initiated in \cite{wollic22}, where subordination algebras and a family of their generalizations were proposed as a semantic environment of various input/output logics. In particular, we consider precontact algebras as a suitable algebraic environment for negative permission, and we characterize properties of several types of permission (negative, static, dynamic), as well as their interactions with normative systems, by means of suitable modal languages encoding outputs.

Keywords

Cite

@article{arxiv.2403.03148,
  title  = {Obligations and permissions, algebraically},
  author = {Andrea De Domenico and Ali Farjami and Krishna Manoorkar and Alessandra Palmigiano and Mattia Panettiere and Xiaolong Wang},
  journal= {arXiv preprint arXiv:2403.03148},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2205.13903

R2 v1 2026-06-28T15:10:05.648Z