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Logic-based models can be used to build verification tools for machine learning classifiers employed in the legal field. ML classifiers predict the outcomes of new cases based on previous ones, thereby performing a form of case-based…

Artificial Intelligence · Computer Science 2025-10-16 Cecilia Di Florio , Huimin Dong , Antonino Rotolo

We extend the formal framework of classifier models used in the legal domain. While the existing classifier framework characterises cases solely through the facts involved, legal reasoning fundamentally relies on both facts and rules,…

Artificial Intelligence · Computer Science 2025-05-02 Cecilia Di Florio , Huimin Dong , Antonino Rotolo

Precedential constraint is one foundation of case-based reasoning in AI and Law. It generally assumes that the underlying set of precedents must be consistent. To relax this assumption, a generalized notion of the reason model has been…

Artificial Intelligence · Computer Science 2025-10-23 Wachara Fungwacharakorn , Gauvain Bourgne , Ken Satoh

Despite the advanced capabilities of large language models (LLMs), their temporal reasoning ability remains underdeveloped. Prior works have highlighted this limitation, particularly in maintaining temporal consistency when understanding…

Computation and Language · Computer Science 2025-06-18 Jongho Kim , Seung-won Hwang

In recent years, hierarchical case-based-reasoning models of precedential constraint have been proposed. In various papers, Trevor Bench-Capon criticised these models on the grounds that they would give incorrect outcomes in some cases. In…

Artificial Intelligence · Computer Science 2025-12-16 Henry Prakken , Wijnand van Woerkom

The classical causal relations between a set of variables, some observed and some latent, can induce both equality constraints (typically conditional independences) as well as inequality constraints (Instrumental and Bell inequalities being…

Quantum Physics · Physics 2024-04-11 Shashaank Khanna , Marina Maciel Ansanelli , Matthew F. Pusey , Elie Wolfe

Our article described an experiment that adjudicates between different causal accounts of Bell inequality violations by a comparison of their predictive power, finding that certain types of models that are structurally radical but…

Quantum Physics · Physics 2024-12-05 Patrick Daley , Kevin J. Resch , Robert W. Spekkens

A fundamental question asked in modal logic is whether a given theory is consistent. But consistent with what? A typical way to address this question identifies a choice of background knowledge axioms (say, S4, D, etc.) and then shows the…

Logic · Mathematics 2023-07-12 Samuel Allen Alexander , Arthur Paul Pedersen

Recent work has unveiled a theory for reasoning about the decisions made by binary classifiers: a classifier describes a Boolean function, and the reasons behind an instance being classified as positive are the prime-implicants of the…

Artificial Intelligence · Computer Science 2021-05-14 Niku Gorji , Sasha Rubin

Large language models (LLMs) with extended context windows show promise for complex legal reasoning tasks, yet their ability to understand long legal documents remains insufficiently evaluated. Developing long-context benchmarks that…

Computation and Language · Computer Science 2026-01-21 Li Zhang , Jaromir Savelka , Kevin Ashley

In many real-world settings, a decision-maker must combine information provided by different experts in order to decide on an effective policy. Alrajeh, Chockler, and Halpern [2018] showed how to combine causal models that are compatible in…

Artificial Intelligence · Computer Science 2020-05-21 Meir Friedenberg , Joseph Y. Halpern

We examine the problem of making reconciled forecasts of large collections of related time series through a behavioural/Bayesian lens. Our approach explicitly acknowledges and exploits the 'connectedness' of the series in terms of…

Methodology · Statistics 2022-10-03 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

We introduce a notion of compatibility between constraint encoding and compositional structure. Phrased in the language of category theory, it is given by a "composable constraint encoding". We show that every composable constraint encoding…

Category Theory · Mathematics 2021-12-14 Matt Wilson , Augustin Vanrietvelde

This paper studies satisfying temporal logic specifications on stochastic dynamical systems, where the predicates evolve randomly over time. Such randomness may arise from uncertain environment models or external stochastic processes…

Optimization and Control · Mathematics 2026-05-12 Mohammad H. Mamduhi , Sadegh Soudjani

In this paper, we address complexity issues for timeline-based planning over dense temporal domains. The planning problem is modeled by means of a set of independent, but interacting, components, each one represented by a number of state…

Logic in Computer Science · Computer Science 2018-09-11 Laura Bozzelli , Alberto Molinari , Angelo Montanari , Adriano Peron

Current legal outcome prediction models - a staple of legal NLP - do not explain their reasoning. However, to employ these models in the real world, human legal actors need to be able to understand the model's decisions. In the case of…

Computation and Language · Computer Science 2024-04-17 Josef Valvoda , Ryan Cotterell

This paper analyzes the notion of causality in a conceptual model, mainly as applied in software engineering. Conceptual system modeling can be considered a three-level process that begins with building a static structural description to…

Software Engineering · Computer Science 2020-05-07 Sabah Al-Fedaghi

Proving linearizability of concurrent data structures remains a key challenge for verification. We present temporal interpolation as a new proof principle to conduct such proofs using hindsight arguments within concurrent separation logic.…

Programming Languages · Computer Science 2023-04-25 Roland Meyer , Thomas Wies , Sebastian Wolff

Robust causal discovery from observational data under imperfect prior knowledge remains a significant and largely unresolved challenge. Existing methods typically presuppose perfect priors or can only handle specific, pre-identified error…

Machine Learning · Computer Science 2025-11-11 Zidong Wang , Xi Lin , Chuchao He , Xiaoguang Gao

Modern highly-concurrent search data structures, such as search trees, obtain multi-core scalability and performance by having operations traverse the data structure without any synchronization. As a result, however, these algorithms are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Yotam M. Y. Feldman , Artem Khyzha , Constantin Enea , Adam Morrison , Aleksandar Nanevski , Noam Rinetzky , Sharon Shoham
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