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Among the various forms of reasoning studied in the context of artificial intelligence, qualitative reasoning makes it possible to infer new knowledge in the context of imprecise, incomplete information without numerical values. In this…

Artificial Intelligence · Computer Science 2026-02-10 Quentin Cohen-Solal , Alexandre Niveau , Maroua Bouzid

In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

Computer Science and Game Theory · Computer Science 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

A new notion of typicality for arbitrary probability measures on standard Borel spaces is proposed, which encompasses the classical notions of weak and strong typicality as special cases. Useful lemmas about strong typical sets, including…

Information Theory · Computer Science 2016-11-17 Junekey Jeon

In Dung's abstract argumentation, arguments are either acceptable or unacceptable, given a chosen notion of acceptability. This gives a coarse way to compare arguments. In this paper, we propose a counting approach for a more fine-gained…

Artificial Intelligence · Computer Science 2015-07-21 Fuan Pu , Jian Luo , Yulai Zhang , Guiming Luo

The theory of classical realizability is a framework in which we can develop the proof-program correspondence. Using this framework, we show how to transform into programs the proofs in classical analysis with dependent choice and the…

Logic in Computer Science · Computer Science 2015-07-01 Jean-Louis Krivine

Despite the remarkable coherence of Large Language Models (LLMs), existing evaluation methods often suffer from fluency bias and rely heavily on multiple-choice formats, making it difficult to assess factual accuracy and complex reasoning…

Computation and Language · Computer Science 2025-01-03 Raymond Bernard , Shaina Raza , Subhabrata Das , Rahul Murugan

Argument mining is natural language processing technology aimed at identifying arguments in text. Furthermore, the approach is being developed to identify the premises and claims of those arguments, and to identify the relationships between…

Artificial Intelligence · Computer Science 2024-08-19 Jonathan Ben-Naim , Victor David , Anthony Hunter

We provide a foundation for working with homological and homotopical methods in categorical algebra. This involves two mutually complementary components, namely (a) the strategic selection of suitable axiomatic frameworks, some well known…

Category Theory · Mathematics 2024-06-24 George Peschke , Tim Van der Linden

Bipolar Argumentation Frameworks (BAFs) admit several interpretations of the support relation and diverging definitions of semantics. Recently, several classes of BAFs have been captured as instances of bipolar Assumption-Based…

Artificial Intelligence · Computer Science 2021-01-19 Amin Karamlou , Kristijonas Čyras , Francesca Toni

In recent years, large language models (LLMs) have made significant advancements in developing human-like and engaging dialogue systems. However, in tasks such as consensus-building and persuasion, LLMs often struggle to resolve conflicts…

Artificial Intelligence · Computer Science 2025-11-14 Zhaoqun Li , Xiaotong Fang , Chen Chen , Mengze Li , Beishui Liao

An extension of an abstract argumentation framework, called collective argumentation, is introduced in which the attack relation is defined directly among sets of arguments. The extension turns out to be suitable, in particular, for…

Artificial Intelligence · Computer Science 2007-05-23 Alexander Bochman

We introduce an extension of the propositional calculus to include abstracts of predicates and quantifiers, employing a single rule along with a novel comprehension schema and a principle of extensionality, which are substituted for the…

Logic · Mathematics 2010-03-23 Lucius T. Schoenbaum

The formal analysis of automated systems is an important and growing industry. This activity routinely requires new verification frameworks to be developed to tackle new programming features, or new considerations (bugs of interest). Often,…

Logic in Computer Science · Computer Science 2026-02-17 Paul Brunet

An optimal delivery of arguments is key to persuasion in any debate, both for humans and for AI systems. This requires the use of clear and fluent claims relevant to the given debate. Prior work has studied the automatic assessment of…

Computation and Language · Computer Science 2023-09-08 Gabriella Skitalinskaya , Maximilian Spliethöver , Henning Wachsmuth

We propose a fully Bayesian framework for learning ground truth labels from noisy annotators. Our framework ensures scalability by factoring a generative, Bayesian soft clustering model over label distributions into the classic David and…

Artificial Intelligence · Computer Science 2021-06-22 Tharindu Cyril Weerasooriya , Alexander G. Ororbia , Christopher M. Homan

This paper presents a novel framework for structured argumentation, named extend argumentative decision graph ($xADG$). It is an extension of argumentative decision graphs built upon Dung's abstract argumentation graphs. The $xADG$…

Artificial Intelligence · Computer Science 2023-11-15 Lucas Rizzo , Luca Longo

Mathematical optimization offers highly-effective tools for finding solutions for problems with well-defined goals, notably scheduling. However, optimization solvers are often unexplainable black boxes whose solutions are inaccessible to…

Artificial Intelligence · Computer Science 2019-02-21 Kristijonas Čyras , Dimitrios Letsios , Ruth Misener , Francesca Toni

In this paper, we present a general framework for ranking sets of arguments in abstract argumentation based on their plausibility of acceptance. We present a generalisation of Dung's extension semantics as extension-ranking semantics, which…

Artificial Intelligence · Computer Science 2025-05-01 Kenneth Skiba , Tjitze Rienstra , Matthias Thimm , Jesse Heyninck , Gabriele Kern-Isberner

Many combinatorial optimisation problems hide algebraic structures that, once exposed, shrink the search space and improve the chance of finding the global optimal solution. We present a general framework that (i) identifies algebraic…

Artificial Intelligence · Computer Science 2026-04-08 Min Sun , Federica Storti , Valentina Martino , Miguel Gonzalez-Andrades , Tony Kam-Thong

To resolve conflicts among norms, various nonmonotonic formalisms can be used to perform prioritized normative reasoning. Meanwhile, formal argumentation provides a way to represent nonmonotonic logics. In this paper, we propose a…

Artificial Intelligence · Computer Science 2018-03-06 Beishui Liao , Nir Oren , Leendert van der Torre , Serena Villata