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This paper presents a reproducibility study examining how Large Language Models (LLMs) manage competing factual and counterfactual information, focusing on the role of attention heads in this process. We attempt to reproduce and reconcile…

Computation and Language · Computer Science 2025-07-17 Dante Campregher , Yanxu Chen , Sander Hoffman , Maria Heuss

The thesis of this paper is that truth-relevant logic is a better foundation for mathematics than classical logic. It is a system proposed by Richard Diaz in 1981. In a certain sense t-relevant logic is based on Kleene strong tables. These…

Logic · Mathematics 2023-02-14 X. Y. Newberry

The statistical modelling of spatial extremes has recently made major advances. Much of its focus so far has been on the modelling of the magnitudes of extreme events but little attention has been paid on the timing of extremes. To address…

Statistics Theory · Mathematics 2015-03-20 Clément Dombry , Mathieu Ribatet , Stilian Stoev

Links in many real-world networks activate and deactivate in correspondence to the sporadic interactions between the elements of the system. The activation patterns may be irregular or bursty and play an important role on the dynamics of…

Physics and Society · Physics 2017-02-03 Oriol Artime , Jose J. Ramasco , Maxi San Miguel

Contributing to the toolbox for interpreting election results, we evaluate the robustness of election winners to random noise. We compare the robustness of different voting rules and evaluate the robustness of real-world election winners…

Computer Science and Game Theory · Computer Science 2022-08-30 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Rolf Niedermeier

Probabilistic concurrent/distributed strategies have so far not been investigated thoroughly in the context of imperfect information, where the Player has only partial knowledge of the moves made by the Opponent. In a situation where the…

Computer Science and Game Theory · Computer Science 2024-02-08 Sacha Huriot-Tattegrain , Glynn Winskel

We describe a "slow" version of the hierarchy of uniform reflection principles over Peano Arithmetic ($\mathbf{PA}$). These principles are unprovable in Peano Arithmetic (even when extended by usual reflection principles of lower…

Logic · Mathematics 2020-08-06 Anton Freund

Competitive systems can exhibit both hierarchical (transitive) and cyclic (intransitive) structures. Despite theoretical interest in cyclic competition, which offers richer dynamics, and occupies a larger subset of the space of possible…

Populations and Evolution · Quantitative Biology 2022-05-18 Christopher Cebra , Alexander Strang

The concept of counterfactual explanations (CE) has emerged as one of the important concepts to understand the inner workings of complex AI systems. In this paper, we translate the idea of CEs to linear optimization and propose, motivate,…

Optimization and Control · Mathematics 2024-05-27 Jannis Kurtz , Ş. İlker Birbil , Dick den Hertog

Lewis' theory of counterfactuals is the foundation of many contemporary notions of causality. In this paper, we extend this theory in the temporal direction to enable symbolic counterfactual reasoning on infinite sequences, such as…

Logic in Computer Science · Computer Science 2023-06-16 Bernd Finkbeiner , Julian Siber

We develop a duality for (modal) lattices that need not be distributive, and use it to study positive (modal) logic beyond distributivity, which we call weak positive (modal) logic. This duality builds on the Hofmann, Mislove and Stralka…

Logic · Mathematics 2023-12-01 Nick Bezhanishvili , Anna Dmitrieva , Jim de Groot , Tommaso Moraschini

We leverage diffusion models to study the robustness-performance tradeoff of robust classifiers. Our approach introduces a simple, pretrained diffusion method to generate low-norm counterfactual examples (CEs): semantically altered data…

Machine Learning · Computer Science 2024-04-18 Eric Yeats , Cameron Darwin , Eduardo Ortega , Frank Liu , Hai Li

In the field of pattern mining, a negative sequential pattern is specified by means of a sequence consisting of events to occur and of other events, called negative events, to be absent. For instance, containment of the pattern $\langle a\…

Artificial Intelligence · Computer Science 2020-02-24 Thomas Guyet , Philippe Besnard

We prove some new properties of fidelity (transition probability) and concurrence, the latter defined by straightforward extension of Wootters notation. Choose a conjugation and consider the dependence of fidelity or of concurrence on…

Quantum Physics · Physics 2009-10-31 Armin Uhlmann

We study whether large language models acting as autonomous bidders can tacitly collude by coordinating when to accept platform posted payouts in repeated Dutch auctions, without any communication. We present a minimal repeated auction…

Computer Science and Game Theory · Computer Science 2025-12-01 Sriram Tolety

We investigate the model of multiple contests held in parallel, where each contestant selects one contest to join and each contest designer decides the prize structure to compete for the participation of contestants. We first analyze the…

Computer Science and Game Theory · Computer Science 2022-10-28 Xiaotie Deng , Ningyuan Li , Weian Li , Qi Qi

Often fairness assumptions need to be made in order to establish liveness properties of distributed systems, but in many situations they lead to false conclusions. This document presents a research agenda aiming at laying the foundations of…

Logic in Computer Science · Computer Science 2019-12-13 Rob van Glabbeek

We present a counterfactual recognition (CR) task, the shared Task 5 of SemEval-2020. Counterfactuals describe potential outcomes (consequents) produced by actions or circumstances that did not happen or cannot happen and are counter to the…

Computation and Language · Computer Science 2020-08-04 Xiaoyu Yang , Stephen Obadinma , Huasha Zhao , Qiong Zhang , Stan Matwin , Xiaodan Zhu

This article studies the weak convergence and associated Central Limit Theorem for blurring and nonblurring processes. Then, they are applied to the estimation of location parameter. Simulation studies show that the location estimation…

Statistics Theory · Mathematics 2015-01-28 Ting-Li Chen , Hironori Fujisawa , Su-Yun Huang , Chii-Ruey Hwang

In the vicinity of a solution of a nonlinear programming problem at which both strict complementarity and linear independence of the active constraints may fail to hold, we describe a technique for distinguishing weakly active from strongly…

Optimization and Control · Mathematics 2025-10-20 Stephen J. Wright