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Recently, several approaches to updating knowledge bases modeled as extended logic programs have been introduced, ranging from basic methods to incorporate (sequences of) sets of rules into a logic program, to more elaborate methods which…

Artificial Intelligence · Computer Science 2007-05-23 T. Eiter , M. Fink , G. Sabbatini , H. Tompits

A thorough investigation of the foundations of paraconsistent logics. Relations between logical principles are formally studied, a novel notion of consistency is introduced, the logics of formal inconsistency, and the subclasses of…

Logic · Mathematics 2007-05-23 W. A. Carnielli , J. Marcos

While explainability is a desirable characteristic of increasingly complex black-box models, modern explanation methods have been shown to be inconsistent and contradictory. The semantics of explanations is not always fully understood - to…

Artificial Intelligence · Computer Science 2024-08-09 Omer Reingold , Judy Hanwen Shen , Aditi Talati

Logic has proved essential for formally modeling software based systems. Such formal descriptions, frequently called specifications, have served not only as requirements documentation and formalisation, but also for providing the…

Logic in Computer Science · Computer Science 2021-07-20 Carlos G. Lopez Pombo , Thomas S. E. Maibaum

I deal with two approaches to proof-theoretic semantics: one based on argument structures and justifications, which I call reducibility semantics, and one based on consequence among (sets of) formulas over atomic bases, called base…

Logic · Mathematics 2025-11-11 Antonio Piccolomini d'Aragona

In abstract argumentation theory, many argumentation semantics have been proposed for evaluating argumentation frameworks. This paper is based on the following research question: Which semantics corresponds well to what humans consider a…

Artificial Intelligence · Computer Science 2019-08-23 Marcos Cramer , Leendert van der Torre

Structured reasoning over natural language inputs remains a core challenge in artificial intelligence, as it requires bridging the gap between unstructured linguistic expressions and formal logical representations. In this paper, we propose…

Artificial Intelligence · Computer Science 2025-07-14 Keying Yang , Hao Wang , Kai Yang

Modern data systems increasingly operate under conditions of persistent legal, political, and analytic disagreement. In such settings, interoperability cannot rely on shared interpretation, negotiated semantics, or centralized authority.…

Logic in Computer Science · Computer Science 2026-01-23 Denise M. Case

Default logic encounters some conceptual difficulties in representing common sense reasoning tasks. We argue that we should not try to formulate modular default rules that are presumed to work in all or most circumstances. We need to take…

Artificial Intelligence · Computer Science 2013-02-08 Choh Man Teng

Logics with analogous semantics, such as Fuzzy Logic, have a number of explanatory and application advantages, the most well-known being the ability to help experts develop control systems. From a cognitive systems perspective, such…

Artificial Intelligence · Computer Science 2022-01-24 Hedda R. Schmidtke , Sara Coelho

Conversational systems relying on text-based large language models (LLMs) often overlook paralinguistic cues, essential for understanding emotions and intentions. Speech-language models (SLMs), which use speech as input, are emerging as a…

Computation and Language · Computer Science 2025-08-12 Chun Wang , Chenyang Liu , Wenze Xu , Weihong Deng

Distributed knowledge based applications in open domain rely on common sense information which is bound to be uncertain and incomplete. To draw the useful conclusions from ambiguous data, one must address uncertainties and conflicts…

Artificial Intelligence · Computer Science 2013-02-01 Benson Hin Kwong Ng , Kam-Fai Wong , Boon-Toh Low

A framework for consensus modelling is introduced using Kleene's three valued logic as a means to express vagueness in agents' beliefs. Explicitly borderline cases are inherent to propositions involving vague concepts where sentences of a…

Multiagent Systems · Computer Science 2018-01-15 Michael Crosscombe , Jonathan Lawry

Many satisfiability modulo theories solvers implement a variant of the DPLL(T ) framework which separates theory-specific reasoning from reasoning on the propositional abstraction of the formula. Such solvers conclude that a formula is…

Logic in Computer Science · Computer Science 2015-06-05 Liana Hadarean , Alex Horn , Tim King

Evaluating the reasoning ability of language models (LMs) is complicated by their extensive parametric world knowledge, where benchmark performance often reflects factual recall rather than genuine reasoning. Existing datasets and…

Computation and Language · Computer Science 2026-03-11 Ken Gu , Advait Bhat , Mike A Merrill , Robert West , Xin Liu , Daniel McDuff , Tim Althoff

The growing range of applications of Machine Learning (ML) in a multitude of settings motivates the ability of computing small explanations for predictions made. Small explanations are generally accepted as easier for human decision makers…

Artificial Intelligence · Computer Science 2018-11-28 Alexey Ignatiev , Nina Narodytska , Joao Marques-Silva

We identify agreement and disagreement between utterances that express stances towards a topic of discussion. Existing methods focus mainly on conversational settings, where dialogic features are used for (dis)agreement inference. We extend…

Computation and Language · Computer Science 2019-06-05 Chang Xu , Cecile Paris , Surya Nepal , Ross Sparks

We extend description logics (DLs) with non-monotonic reasoning features. We start by investigating a notion of defeasible subsumption in the spirit of defeasible conditionals as studied by Kraus, Lehmann and Magidor in the propositional…

Artificial Intelligence · Computer Science 2019-04-17 Katarina Britz , Giovanni Casini , Thomas Meyer , Kody Moodley , Uli Sattler , Ivan Varzinczak

Large Language Models (LLMs) achieve strong performance in analyzing and generating text, yet they struggle with explicit, transparent, and verifiable reasoning over complex texts such as those containing debates. In particular, they lack…

Artificial Intelligence · Computer Science 2026-03-04 Gianvincenzo Alfano , Sergio Greco , Lucio La Cava , Stefano Francesco Monea , Irina Trubitsyna

The KLM approach to defeasible reasoning introduces a weakened form of implication into classical logic. This allows one to incorporate exceptions to general rules into a logical system, and for old conclusions to be withdrawn upon learning…

Artificial Intelligence · Computer Science 2024-10-08 Nicholas Leisegang , Thomas Meyer , Sebastian Rudolph