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In this paper a conditional logic is defined and studied. This conditional logic, DmBL, is constructed as a deterministic counterpart to the Bayesian conditional. The logic is unrestricted, so that any logical operations are allowed. A…

Logic · Mathematics 2007-05-23 Frederic Dambreville

Modal logics allow reasoning about various modes of truth: for example, what it means for something to be possibly true, or to know that something is true as opposed to merely believing it. This report describes embeddings of propositional…

Logic in Computer Science · Computer Science 2022-05-16 John Rushby

As large language models (LLMs) become increasingly integrated into applications serving users across diverse cultures, communities and demographics, it is critical to align LLMs with pluralistic human values beyond average principles…

Artificial Intelligence · Computer Science 2025-12-08 Hanze Guo , Jing Yao , Xiao Zhou , Xiaoyuan Yi , Xing Xie

A semantic embedding of (constant domain) quantified conditional logic in classical higher-order logic is presented.

Artificial Intelligence · Computer Science 2012-04-27 Christoph Benzmueller , Valerio Genovese

Proof assistants play a dual role as programming languages and logical systems. As programming languages, proof assistants offer standard modularity mechanisms such as first-class functions, type polymorphism and modules. As logical…

Logic in Computer Science · Computer Science 2021-08-24 Kenji Maillard , Nicolas Margulies , Matthieu Sozeau , Nicolas Tabareau , Éric Tanter

We present a general logical framework for reasoning about agents' cognitive attitudes of both epistemic type and motivational type. We show that it allows us to express a variety of relevant concepts for qualitative decision theory…

Artificial Intelligence · Computer Science 2023-06-22 Emiliano Lorini

In this study, we delve into the realm of counterfactual reasoning capabilities of large language models (LLMs). Our primary objective is to cultivate the counterfactual thought processes within LLMs and rigorously assess these processes…

Computation and Language · Computer Science 2024-06-10 Yinya Huang , Ruixin Hong , Hongming Zhang , Wei Shao , Zhicheng Yang , Dong Yu , Changshui Zhang , Xiaodan Liang , Linqi Song

In this article we propose an extension to the typed natural deduction calculus TNDPQ to model verification of counterfactual fairness in probabilistic classifiers. This is obtained formulating specific structural conditions for causal…

Logic in Computer Science · Computer Science 2025-10-28 Leonardo Ceragioli , Giuseppe Primiero

Counterfactual explanations offer an intuitive and straightforward way to explain black-box models and offer algorithmic recourse to individuals. To address the need for plausible explanations, existing work has primarily relied on…

Machine Learning · Computer Science 2023-12-19 Patrick Altmeyer , Mojtaba Farmanbar , Arie van Deursen , Cynthia C. S. Liem

In the present article we consider the inverse fallacy, a well known cognitive heuristic experimentally tested in cognitive science, which occurs for intuitive judgments in situations of bounded rationality. We show that the quantum…

General Physics · Physics 2007-08-23 Riccardo Franco

The conceptual framework proposed in this paper centers on the development of a deliberative moral reasoning system - one designed to process complex moral situations by generating, filtering, and weighing normative arguments drawn from…

Computers and Society · Computer Science 2025-08-13 David-Doron Yaacov

This work shows how to leverage causal inference to understand the behavior of complex learning systems interacting with their environment and predict the consequences of changes to the system. Such predictions allow both humans and…

Nonmonotonic logics are usually characterized by the presence of some notion of 'conditional' that fails monotonicity. Research on nonmonotonic logics is therefore largely concerned with the defeasibility of argument forms and the…

Logic in Computer Science · Computer Science 2013-10-29 Katarina Britz , Ivan Varzinczak

Counterfactual explanations are one of the most popular methods to make predictions of black box machine learning models interpretable by providing explanations in the form of `what-if scenarios'. Most current approaches optimize a…

Machine Learning · Statistics 2020-10-16 Susanne Dandl , Christoph Molnar , Martin Binder , Bernd Bischl

Counterfactual thinking describes a psychological phenomenon that people re-infer the possible results with different solutions about things that have already happened. It helps people to gain more experience from mistakes and thus to…

Machine Learning · Computer Science 2019-08-19 Yue Wang , Yao Wan , Chenwei Zhang , Lixin Cui , Lu Bai , Philip S. Yu

We propose a formalization of the three-tier causal hierarchy of association, intervention, and counterfactuals as a series of probabilistic logical languages. Our languages are of strictly increasing expressivity, the first capable of…

Logic in Computer Science · Computer Science 2021-06-03 Duligur Ibeling , Thomas Icard

The semantics for counterfactuals due to David Lewis has been challenged on the basis of unlikely, or impossible, events. Such events may skew a given similarity order in favour of those possible worlds which exhibit them. By updating the…

Logic in Computer Science · Computer Science 2016-06-28 Patrick Girard , Marcus Anthony Triplett

This paper proposes a formal framework for modeling the interaction of causal and (qualitative) epistemic reasoning. To this purpose, we extend the notion of a causal model with a representation of the epistemic state of an agent. On the…

Artificial Intelligence · Computer Science 2020-11-02 Fausto Barbero , Katrin Schulz , Sonja Smets , Fernando R. Velázquez-Quesada , Kaibo Xie

Counterfactual fairness alleviates the discrimination between the model prediction toward an individual in the actual world (observational data) and that in counterfactual world (i.e., what if the individual belongs to other sensitive…

Machine Learning · Computer Science 2023-03-28 Tri Dung Duong , Qian Li , Guandong Xu

Large Language Models (LLMs) are increasingly deployed across diverse real-world applications and user communities. As such, it is crucial that these models remain both morally grounded and knowledge-aware. In this work, we uncover a…

Computation and Language · Computer Science 2026-03-11 Saugata Purkayastha , Pranav Kushare , Pragya Paramita Pal , Sukannya Purkayastha