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Explaining autonomous and intelligent systems is critical in order to improve trust in their decisions. Counterfactuals have emerged as one of the most compelling forms of explanation. They address ``why not'' questions by revealing how…

Artificial Intelligence · Computer Science 2026-02-05 Leila Amgoud , Martin Cooper

The definition is a common form of human expert knowledge, a building block of formal science and mathematics, a foundation for database theory and is supported in various forms in many knowledge representation and formal specification…

Logic in Computer Science · Computer Science 2017-02-16 Marc Denecker , Bart Bogaerts , Joost Vennekens

Topological statistical theory provides the foundation for a modern mathematical reformulation of classical statistical theory: Structural Statistics emphasizes the structural assumptions that accompany distribution families and the set of…

Statistics Theory · Mathematics 2020-06-23 Patrick Michl

We consider (finitary, propositional) logics through the original use of Category Theory: the study of the "sociology of mathematical objects", aligning us with a recent, and growing, trend of study logics through its relations with other…

Category Theory · Mathematics 2016-03-29 Caio de Andrade Mendes , Hugo Luiz Mariano

With recent advances in natural language processing, rationalization becomes an essential self-explaining diagram to disentangle the black box by selecting a subset of input texts to account for the major variation in prediction. Yet,…

Machine Learning · Computer Science 2023-09-12 Wenbo Zhang , Tong Wu , Yunlong Wang , Yong Cai , Hengrui Cai

Feature attributions and counterfactual explanations are popular approaches to explain a ML model. The former assigns an importance score to each input feature, while the latter provides input examples with minimal changes to alter the…

Machine Learning · Computer Science 2021-06-01 Ramaravind Kommiya Mothilal , Divyat Mahajan , Chenhao Tan , Amit Sharma

While neural language models can generate text with remarkable fluency and coherence, controlling for factual correctness in generation remains an open research question. This major discrepancy between the surface-level fluency and the…

Computation and Language · Computer Science 2021-06-08 Saadia Gabriel , Asli Celikyilmaz , Rahul Jha , Yejin Choi , Jianfeng Gao

Chain-of-thought explanations are widely used to inspect the decision process of large language models (LLMs) and to evaluate the trustworthiness of model outputs, making them important for effective collaboration between LLMs and humans.…

Computation and Language · Computer Science 2025-07-16 Pedro Ferreira , Wilker Aziz , Ivan Titov

A family of information theoretic models of communication was introduced more than a decade ago to explain the origins of Zipf's law for word frequencies. The family is a based on a combination of two information theoretic principles:…

Physics and Society · Physics 2020-09-24 Ramon Ferrer-i-Cancho

Benchmarking modern large language models (LLMs) on complex and realistic tasks is critical to advancing their development. In this work, we evaluate the factual accuracy and citation performance of state-of-the-art LLMs on the task of…

Computation and Language · Computer Science 2024-12-25 Maya Patel , Aditi Anand

We introduce an approach to discovery informatics that uses so called knowledge graphs as the essential representation structure. Knowledge graph is an umbrella term that subsumes various approaches to tractable representation of large…

Artificial Intelligence · Computer Science 2015-04-29 Vit Novacek

Feature Structures (FSs) are a widespread tool used for decompositional frameworks of Attribute-Value associations. Even though they thrive in simple systems, they lack a way of representing higher-order entities and relations. This is…

Logic in Computer Science · Computer Science 2020-02-06 Valentin D. Richard

Recent developments in support for constructing knowledge graphs have led to a rapid rise in their creation both on the Web and within organisations. Added to existing sources of data, including relational databases, APIs, etc., there is a…

Artificial Intelligence · Computer Science 2023-03-14 Kwabena Nuamah , Alan Bundy

Ontologies represent the conceptual knowledge of a domain. At the core of an ontology is the taxonomy of concepts and subconcepts that represent specific entities, which can be complex to build. In many cases, information is available in…

Artificial Intelligence · Computer Science 2026-05-26 Mathieu d'Aquin

This paper presents matching logic, a first-order logic (FOL) variant for specifying and reasoning about structure by means of patterns and pattern matching. Its sentences, the patterns, are constructed using variables, symbols, connectives…

Logic in Computer Science · Computer Science 2019-03-14 Grigore Rosu

In this article we present and describe a notion of "logical perfection". We extract the notion of "perfection" from the contemporary logical concept of categoricity. Categoricity (in power) has become in the past half century a main driver…

Logic · Mathematics 2019-11-04 John Alexander Cruz Morales , Andrés Villaveces , Boris Zilber

Most modern formalisms used in Databases and Artificial Intelligence for describing an application domain are based on the notions of class (or concept) and relationship among classes. One interesting feature of such formalisms is the…

Artificial Intelligence · Computer Science 2009-09-25 G. DeGiacomo , M. Lenzerini

We seize the opportunity of the publication of selected papers from the \emph{Logic, categories, semantics} workshop in the \emph{Journal of Applied Logic} to survey some current trends in logic, namely intuitionistic and linear type…

Category Theory · Mathematics 2014-02-07 Jean Gillibert , Christian Retoré

This work explores the hypothesis that subjectively attributed meaning constitutes the phenomenal content of conscious experience. That is, phenomenal content is semantic. This form of subjective meaning manifests as an intrinsic and…

Neurons and Cognition · Quantitative Biology 2024-05-03 Xerxes D. Arsiwalla

We investigate the characteristics of factual and emotional argumentation styles observed in online debates. Using an annotated set of "factual" and "feeling" debate forum posts, we extract patterns that are highly correlated with factual…

Computation and Language · Computer Science 2017-09-18 Shereen Oraby , Lena Reed , Ryan Compton , Ellen Riloff , Marilyn Walker , Steve Whittaker