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Existing tools for explaining complex models and systems are associational rather than causal and do not provide mechanistic understanding. We propose a new notion called counterfactual explainability for causal attribution that is…

Machine Learning · Statistics 2025-10-07 Zijun Gao , Qingyuan Zhao

We propose a new definition of actual cause, using structural equations to model counterfactuals. We show that the definition yields a plausible and elegant account of causation that handles well examples which have caused problems for…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Judea Pearl

Justification logics are modal-like logics that provide a framework for reasoning about justifications. This paper introduces labeled sequent calculi for justification logics, as well as for hybrid modal-justification logics. Using the…

Logic · Mathematics 2025-01-17 Meghdad Ghari

The growing philosophical literature on algorithmic fairness has examined statistical criteria such as equalized odds and calibration, causal and counterfactual approaches, and the role of structural and compounding injustices. Yet an…

Computers and Society · Computer Science 2025-10-28 Michele Loi , Marcello Di Bello , Nicolò Cangiotti

Evaluation of counterfactual queries (e.g., "If A were true, would C have been true?") is important to fault diagnosis, planning, and determination of liability. In this paper we present methods for computing the probabilities of such…

Artificial Intelligence · Computer Science 2013-02-28 Alexander Balke , Judea Pearl

We study abductive, causal, and non-causal conditionals in indicative and counterfactual formulations using probabilistic truth table tasks under incomplete probabilistic knowledge (N = 80). We frame the task as a probability-logical…

Artificial Intelligence · Computer Science 2017-03-14 Niki Pfeifer , Leena Tulkki

We consider the problem of learning fair decision systems in complex scenarios in which a sensitive attribute might affect the decision along both fair and unfair pathways. We introduce a causal approach to disregard effects along unfair…

Machine Learning · Statistics 2018-02-23 Silvia Chiappa , Thomas P. S. Gillam

One well motivated explanation method for classifiers leverages counterfactuals which are hypothetical events identical to real observations in all aspects except for one feature. Constructing such counterfactual poses specific challenges…

Machine Learning · Computer Science 2024-09-12 Pirmin Lemberger , Antoine Saillenfest

We introduce an approach to counterfactual inference based on merging information from multiple datasets. We consider a causal reformulation of the statistical marginal problem: given a collection of marginal structural causal models (SCMs)…

Artificial Intelligence · Computer Science 2022-07-18 Luigi Gresele , Julius von Kügelgen , Jonas M. Kübler , Elke Kirschbaum , Bernhard Schölkopf , Dominik Janzing

While model checking has often been considered as a practical alternative to building formal proofs, we argue here that the theory of sequent calculus proofs can be used to provide an appealing foundation for model checking. Since the…

Logic in Computer Science · Computer Science 2017-01-19 Quentin Heath , Dale Miller

Causal structure discovery methods are commonly applied to structured data where the causal variables are known and where statistical testing can be used to assess the causal relationships. By contrast, recovering a causal structure from…

Computation and Language · Computer Science 2024-10-10 Gaël Gendron , Jože M. Rožanec , Michael Witbrock , Gillian Dobbie

Fact verification on tabular evidence incentivises the use of symbolic reasoning models where a logical form is constructed (e.g. a LISP-style program), providing greater verifiability than fully neural approaches. However, these systems…

Computation and Language · Computer Science 2024-11-05 Rami Aly , Andreas Vlachos

We present a system for the investigation of computational properties of categorial grammar parsing based on a labelled analytic tableaux theorem prover. This proof method allows us to take a modular approach, in which the basic grammar can…

cmp-lg · Computer Science 2008-02-03 Saturnino F. Luz-Filho , Patrick Sturt

Fact verification systems typically rely on neural network classifiers for veracity prediction which lack explainability. This paper proposes ProoFVer, which uses a seq2seq model to generate natural logic-based inferences as proofs. These…

Computation and Language · Computer Science 2022-07-05 Amrith Krishna , Sebastian Riedel , Andreas Vlachos

In this paper we introduce a notion of counterfactual causality in the Halpern and Pearl sense that is compositional with respect to the interleaving of transition systems. The formal framework for reasoning on what caused the violation of…

Logic in Computer Science · Computer Science 2016-08-30 Georgiana Caltais , Stefan Leue , Mohammad Reza Mousavi

I argue that if a special science satisfies certain key assumptions that are familiar from physicalist accounts of the special sciences and from physics, then its causal regularities have an associated notion of entropy, and that this…

History and Philosophy of Physics · Physics 2026-05-01 Balazs Gyenis

The validity OF a causal model can be tested ONLY IF the model imposes constraints ON the probability distribution that governs the generated data. IN the presence OF unmeasured variables, causal models may impose two types OF constraints :…

Artificial Intelligence · Computer Science 2013-01-07 Jin Tian , Judea Pearl

In real-world machine learning systems, labels are often derived from user behaviors that the system wishes to encourage. Over time, new models must be trained as new training examples and features become available. However, feedback loops…

Machine Learning · Computer Science 2023-11-01 Victoria Lin , Louis-Philippe Morency , Dimitrios Dimitriadis , Srinagesh Sharma

When an image classifier outputs a wrong class label, it can be helpful to see what changes in the image would lead to a correct classification. This is the aim of algorithms generating counterfactual explanations. However, there is no…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Benedikt Höltgen , Lisa Schut , Jan M. Brauner , Yarin Gal

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