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Standard Deontic Logic (SDL) has been used as the underlying logic to model and reason over Multi-Agent Systems governed by norms (NorMAS). It is known that SDL is not able to represent contrary-to-duty (CTD) scenarios in a consistent way.…

Logic in Computer Science · Computer Science 2018-03-28 Christiano Braga , Edward Hermann Haeusler , Jéssica S. Santos

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…

Artificial Intelligence · Computer Science 2022-09-27 Francesco Olivieri , Guido Governatori , Matteo Cristani , Antonino Rotolo , Abdul Sattar

As large language models (LLMs) advance in linguistic competence, their reasoning abilities are gaining increasing attention. In humans, reasoning often performs well in domain specific settings, particularly in normative rather than purely…

Computation and Language · Computer Science 2026-03-09 Hirohiko Abe , Kentaro Ozeki , Risako Ando , Takanobu Morishita , Koji Mineshima , Mitsuhiro Okada

Reasoning with complex, context-specific rules remains challenging for large language models (LLMs). In legal and policy settings, this manifests as deontic reasoning: reasoning about obligations, permissions, and prohibitions under…

Computation and Language · Computer Science 2026-04-07 Guangyao Dou , Luis Brena , Akhil Deo , William Jurayj , Jingyu Zhang , Nils Holzenberger , Benjamin Van Durme

Normative reasoning is a type of reasoning that involves normative or deontic modality, such as obligation and permission. While large language models (LLMs) have demonstrated remarkable performance across various reasoning tasks, their…

Artificial Intelligence · Computer Science 2025-11-03 Kentaro Ozeki , Risako Ando , Takanobu Morishita , Hirohiko Abe , Koji Mineshima , Mitsuhiro Okada

In many real-life settings, agents must navigate dynamic environments while reasoning under incomplete information and acting on a corpus of unstable, context-dependent, and often conflicting norms. We introduce a general, non-modal,…

Logic in Computer Science · Computer Science 2025-12-23 Mario Piazza , Andrea Sabatini

Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions. Input/Output (I/O) Logics are a particular family of so-called norm-based deontic logics that formalize conditional norms outside of the…

Logic in Computer Science · Computer Science 2026-03-02 Alexander Steen

The rise of powerful AI technology for a range of applications that are sensitive to legal, social, and ethical norms demands decision-making support in presence of norms and regulations. Normative reasoning is the realm of deontic logics,…

Logic in Computer Science · Computer Science 2023-08-31 Christian Hatschka , Agata Ciabattoni , Thomas Eiter

In our previous research, we provided a reasoning system (called LeSAC) based on argumentation theory to provide legal support to designers during the design process. Building on this, this paper explores how to provide designers with…

Artificial Intelligence · Computer Science 2024-09-19 Zhe Yu , Yiwei Lu

Large language models (LLMs) are increasingly engaging in moral and ethical reasoning, where criteria for judgment are often unclear, even for humans. While LLM alignment studies cover many areas, one important yet underexplored area is how…

Computation and Language · Computer Science 2025-06-16 Bumjin Park , Jinsil Lee , Jaesik Choi

We introduce the Deontic Action Model Logic (DAML), a dynamic modal framework for reasoning about obligations over actions in multi-agent systems. DAML extends the epistemic Action Model Logic by incorporating deontic evaluation mechanisms…

Logic in Computer Science · Computer Science 2026-05-27 Giorgio Cignarale

We are concerned with the analysis of normative texts - documents based on the deontic notions of obligation, permission, and prohibition. Our goal is to make queries about these notions and verify that a text satisfies certain properties…

Computation and Language · Computer Science 2017-06-19 John J. Camilleri , Normunds Grūz\=ıtis , Gerardo Schneider

In response to a concern raised by Horty, this paper develops a two-tiered, preference-based semantic framework for modeling defeasible conditional obligations. The paper extends a Hansson-Lewis style preference semantics for dyadic deontic…

Logic in Computer Science · Computer Science 2026-05-01 Xavier Parent

This paper presents a new ontology that implements the well-known Deontic Traditional Scheme in RDFs and SPARQL, fit to handle irresolvable conflicts, i.e., situations in which two or more statements prescribe conflicting obligations,…

Artificial Intelligence · Computer Science 2025-10-28 Livio Robaldo , Gianluca Pozzato

Ontologies formalise how the concepts from a given domain are interrelated. Despite their clear potential as a backbone for explainable AI, existing ontologies tend to be highly incomplete, which acts as a significant barrier to their more…

Artificial Intelligence · Computer Science 2021-05-12 Steven Schockaert , Yazmín Ibáñez-García , Víctor Gutiérrez-Basulto

Deontic logic is a very well researched branch of mathematical logic and philosophy. Various kinds of deontic logics are discussed for different application domains like argumentation theory, legal reasoning, and acts in multi-agent…

Artificial Intelligence · Computer Science 2018-09-17 Ulrich Furbach , Claudia Schon , Frieder Stolzenburg

Large Language Models (LLMs) have gained prominence in the AI landscape due to their exceptional performance. Thus, it is essential to gain a better understanding of their capabilities and limitations, among others in terms of nonmonotonic…

Artificial Intelligence · Computer Science 2024-10-17 Ilias Tachmazidis , Sotiris Batsakis , Grigoris Antoniou

When deciding how to act, we must consider other agents' norms and values. However, our norms are ever-evolving. We often add exceptions or change our minds, and thus norms can conflict over time. Therefore, to maintain an accurate mental…

Artificial Intelligence · Computer Science 2024-07-09 Taylor Olson , Roberto Salas-Damian , Kenneth D. Forbus

In a seminal work, K. Segerberg introduced a deontic logic called DAL to investigate normative reasoning over actions. DAL marked the beginning of a new area of research in Deontic Logic by shifting the focus from deontic operators on…

Logic in Computer Science · Computer Science 2025-02-20 Carlos Areces , Valentin Cassano , Pablo Castro , Raul Fervari

Much of philosophical logic and all of philosophy of language make empirical claims about the vernacular natural language. They presume semantics under which `and' and `or' are related by the dually paired distributive and absorption laws.…

Computation and Language · Computer Science 2014-03-19 Arthur Merin
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