Publication Type
Journal Article
Book Title/Conference/Journal
Journal of Logic and Computation
Year
6-2024
Abstract
This paper presents an extension of Defeasible Deontic Logic to deal with the Pragmatic Oddity problem. The logic applies three general principles: (i) the Pragmatic Oddity problem must be solved within a general logical treatment of contrary-to-duty (CTD) reasoning; (ii) non-monotonic methods must be adopted to handle CTD reasoning; (iii) logical models of CTD reasoning must be computationally feasible and, if possible, efficient. The proposed extension of Defeasible Deontic Logic elaborates a preliminary version of the model proposed by Governatori and Rotolo [15]. The previous solution was based on particular characteristics of the (constructive, top-down) proof theory of the logic. However, that method introduces some degree of non-determinism. To avoid the problem, we provide a bottom-up characterization of the logic. The new characterization offers insights for the efficient implementation of the logic and allows us to establish the computational complexity of the problem.
Disciplines
Law and Philosophy | Logic and Foundations of Mathematics
Subject(s)
Basic or Discovery Scholarship
ISSN/ISBN
0955-792X
Publisher
Oxford University Press
DOI
10.1093/logcom/exac063
Version
publishedVersion
Language
eng
Copyright Holder
Authors
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.
Format
application/PDF
Citation
Governatori, Guido; Colombo Tosatto, Silvano; and Rotolo, Antonio.
Avoiding pragmatic oddity: A bottom-up Defeasible Deontic Logic. (2024). Journal of Logic and Computation. 34, (4), 698-727.
Available at: https://ink.library.smu.edu.sg/cclaw/10
Additional URL
https://doi.org/10.1093/logcom/exac063