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Journal of Logic and Computation
Article . 2023 . Peer-reviewed
License: OUP Standard Publication Reuse
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zbMATH Open
Article . 2024
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https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY NC ND
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Article . 2022
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Deontic meta-rules

Authors: Olivieri, Francesco; Governatori, Guido; Cristani, Matteo; Rotolo, Antonino; Sattar, Abdul;

Deontic meta-rules

Abstract

Abstract The use of meta-rules in logic, i.e., rules whose content includes other rules, has recently gained attention in the setting of non-monotonic reasoning: a first logical formalisation and efficient algorithms to compute the (meta)-extensions of such theories were proposed in Olivieri et al. (2021, Computing defeasible meta-logic. In JELIA 2021, LNCS, vol. 12678, pp. 69–84. Springer.). This work extends such a logical framework by considering the deontic aspect. The resulting logic will not just be able to model policies but also tackle well-known aspects that occur in numerous legal systems. The use of Defeasible Logic to model meta-rules in the application area we just alluded to has been investigated. Within this line of research, the study mentioned above was not focusing on the general computational properties of meta-rules. This study fills this gap with two major contributions. First, we introduce and formalise two variants of Defeasible Deontic Logic (DDL) with meta-rules to represent (i) defeasible meta-theories with deontic modalities and (ii) two different types of conflicts among rules: Simple Conflict DDL and Cautious Conflict DDL. Second, we advance efficient algorithms to compute the extensions for both variants.

Countries
Italy, Singapore
Keywords

FOS: Computer and information sciences, Technology, Computer Science - Logic in Computer Science, Defeasible logic, Logic, Computer Science - Artificial Intelligence, Theory & Methods, Mathematical sciences, principles, Logic and Foundations of Mathematics, Mathematical logic and foundations, semantics, language, Science & Technology, Defeasible Deontic Logic, meta-rules, Automated reasoning, Computer science, Logic in Computer Science (cs.LO), Artificial Intelligence (cs.AI), Computer Science, Information and computing sciences, systems, intentions, Computer Law, Philosophy and religious studies

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
hybrid