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A modal logic based on quantum logic is formalized in its simplest possible form. Specifically, a relational semantics and a sequent calculus are provided, and the soundness and the completeness theorems connecting both notions are…

Logic in Computer Science · Computer Science 2025-11-14 Kenji Tokuo

Knowledge representation and reasoning has a long history of examining how knowledge can be formalized, interpreted, and semantically analyzed by machines. In the area of automated vehicles, recent advances suggest the ability to formalize…

Artificial Intelligence · Computer Science 2022-07-06 Lukas Westhofen , Christian Neurohr , Martin Butz , Maike Scholtes , Michael Schuldes

In this paper we show how the abstract behaviours of higher-order systems can be modelled as final coalgebras of suitable behavioural functors. These functors have the challenging peculiarity to be circularly defined with their own final…

Logic in Computer Science · Computer Science 2016-07-12 Marco Peressotti

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 debate about the ethical implications of Artificial Intelligence dates from the 1960s. However, in recent years symbolic AI has been complemented and sometimes replaced by Neural Networks and Machine Learning techniques. This has vastly…

Computers and Society · Computer Science 2019-09-16 Jessica Morley , Luciano Floridi , Libby Kinsey , Anat Elhalal

Inspired by empirical work in neuroscience for Bayesian approaches to brain function, we give a unified probabilistic account of various types of symbolic reasoning from data. We characterise them in terms of formal logic using the…

Artificial Intelligence · Computer Science 2026-02-24 Hiroyuki Kido

Many real-world situations of ethical relevance, in particular those of large-scale social choice such as mitigating climate change, involve not only many agents whose decisions interact in complicated ways, but also various forms of…

Theoretical Economics · Economics 2020-07-16 Jobst Heitzig , Sarah Hiller

We describe a computational model of social norms based on identifying values that a certain culture finds desirable such as dignity, generosity and politeness. The model quantifies these values in the form of Culture-Sanctioned Social…

Computers and Society · Computer Science 2018-07-04 Ladislau Bölöni , Taranjeet Singh Bhatia , Saad Ahmad Khan , Jonathan Streater , Stephen M. Fiore

The ontological and epistemic complexities inherent in the moral domain make it challenging to establish clear standards for evaluating the performance of a moral machine. In this paper, we present a formal method to describe Ethical…

Artificial Intelligence · Computer Science 2025-07-15 Abeer Dyoub , Francesca A. Lisi

We show how to assess a language model's knowledge of basic concepts of morality. We introduce the ETHICS dataset, a new benchmark that spans concepts in justice, well-being, duties, virtues, and commonsense morality. Models predict…

Computers and Society · Computer Science 2023-02-20 Dan Hendrycks , Collin Burns , Steven Basart , Andrew Critch , Jerry Li , Dawn Song , Jacob Steinhardt

Knowing the reflection of game theory and ethics, we develop a mathematical representation to bridge the gap between the concepts in moral philosophy (e.g., Kantian and Utilitarian) and AI ethics industry technology standard (e.g., IEEE…

Artificial Intelligence · Computer Science 2017-11-17 Yijia Wang , Yan Wan , Zhijian Wang

As automated decision making and decision assistance systems become common in everyday life, research on the prevention or mitigation of potential harms that arise from decisions made by these systems has proliferated. However, various…

Computers and Society · Computer Science 2023-01-18 Samer B. Nashed , Justin Svegliato , Su Lin Blodgett

When we use machine learning for public policy, we find that many useful variables are associated with others on which it would be ethically problematic to base decisions. This problem becomes particularly acute in the Big Data era, when…

Information Theory · Computer Science 2017-03-21 Simon DeDeo

A framework and methodology---termed LogiKEy---for the design and engineering of ethical reasoners, normative theories and deontic logics is presented. The overall motivation is the development of suitable means for the control and…

Artificial Intelligence · Computer Science 2020-05-26 Christoph Benzmüller , Xavier Parent , Leendert van der Torre

Big models have greatly advanced AI's ability to understand, generate, and manipulate information and content, enabling numerous applications. However, as these models become increasingly integrated into everyday life, their inherent…

Computers and Society · Computer Science 2023-10-27 Xiaoyuan Yi , Jing Yao , Xiting Wang , Xing Xie

We generalize intuitionistic tense logics to the multi-modal case by placing grammar logics on an intuitionistic footing. We provide axiomatizations for a class of base intuitionistic grammar logics as well as provide axiomatizations for…

Logic · Mathematics 2021-10-05 Tim S. Lyon

Interpretable-by-design models are crucial for fostering trust, accountability, and safe adoption of automated decision-making models in real-world applications. In this paper we formalize the ground for the MIMOSA (Mining Interpretable…

Artificial Intelligence · Computer Science 2025-11-03 Riccardo Guidotti , Martina Cinquini , Marta Marchiori Manerba , Mattia Setzu , Francesco Spinnato

People are increasingly subject to algorithmic decisions, and it is generally agreed that end-users should be provided an explanation or rationale for these decisions. There are different purposes that explanations can have, such as…

Computers and Society · Computer Science 2022-06-01 Emily Sullivan , Philippe Verreault-Julien

This paper develops a logic based on causal inferences to formally capture the concept of instrumental obligation. We establish a causal deontic model that extends causal models with priority structures, allowing us to represent both the…

Logic · Mathematics 2025-05-13 Jialiang Yan , Qingyu He

Traditionally, the way one evaluates the performance of an Artificial Intelligence (AI) system is via a comparison to human performance in specific tasks, treating humans as a reference for high-level cognition. However, these comparisons…

Artificial Intelligence · Computer Science 2019-11-25 Camilo M. Signorelli , Xerxes D. Arsiwalla