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DEKL 2.0 is a dependent type-theoretic framework for trace-indexed knowledge evolution. Its central claim is that the proof calculus remains monotone under standard structural rules, while non-monotonic behavior arises semantically from…

Logic in Computer Science · Computer Science 2026-04-27 Chen Peng

Argumentation is the process of constructing arguments about propositions, and the assignment of statements of confidence to those propositions based on the nature and relative strength of their supporting arguments. The process is modelled…

Artificial Intelligence · Computer Science 2013-03-08 John Fox , Paul J. Krause , Morten Elvang-Gøransson

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

Computation and Language · Computer Science 2025-06-04 Ziyin Zhang , Jiahao Xu , Zhiwei He , Tian Liang , Qiuzhi Liu , Yansi Li , Linfeng Song , Zhenwen Liang , Zhuosheng Zhang , Rui Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

Several works have proven that finetuning is an applicable approach for debiasing contextualized word embeddings. Similarly, discrete prompts with semantic meanings have shown to be effective in debiasing tasks. With unfixed mathematical…

Computation and Language · Computer Science 2025-05-27 Ke Yang , Charles Yu , Yi Fung , Manling Li , Heng Ji

In the context of abstract argumentation, we present the benefits of considering temporality, i.e. the order in which arguments are enunciated, as well as causality. We propose a formal method to rewrite the concepts of acyclic abstract…

Artificial Intelligence · Computer Science 2024-02-07 Y. Munro , C. Sarmiento , I. Bloch , G. Bourgne , M. -J. Lesot

Reasoning about actions and change (RAC) is essential to understand and interact with the ever-changing environment. Previous AI research has shown the importance of fundamental and indispensable knowledge of actions, i.e., preconditions…

Computation and Language · Computer Science 2022-11-28 Weinan He , Canming Huang , Zhanhao Xiao , Yongmei Liu

Linear Temporal Logic over finite traces ($\text{LTL}_f$) is a widely used formalism with applications in AI, process mining, model checking, and more. The primary reasoning task for $\text{LTL}_f$ is satisfiability checking; yet, the…

Artificial Intelligence · Computer Science 2024-09-17 Antonio Ielo , Giuseppe Mazzotta , Rafael Peñaloza , Francesco Ricca

Argumentative LLMs (ArgLLMs) are an existing approach leveraging Large Language Models (LLMs) and computational argumentation for decision-making, with the aim of making the resulting decisions faithfully explainable to and contestable by…

Computation and Language · Computer Science 2026-03-02 Adam Dejl , Deniz Gorur , Francesca Toni

Counterfactuals, or modified inputs that lead to a different outcome, are an important tool for understanding the logic used by machine learning classifiers and how to change an undesirable classification. Even if a counterfactual changes a…

Machine Learning · Computer Science 2024-05-21 Jesse Friedbaum , Sudarshan Adiga , Ravi Tandon

On one hand, termination analysis of logic programs is now a fairly established research topic within the logic programming community. On the other hand, non-termination analysis seems to remain a much less attractive subject. If we divide…

Programming Languages · Computer Science 2007-05-23 Etienne Payet , Fred Mesnard

Although much work in NLP has focused on measuring and mitigating stereotypical bias in semantic spaces, research addressing bias in computational argumentation is still in its infancy. In this paper, we address this research gap and…

Computation and Language · Computer Science 2022-04-11 Carolin Holtermann , Anne Lauscher , Simone Paolo Ponzetto

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

Explainable AI is an emerging field providing solutions for acquiring insights into automated systems' rationale. It has been put on the AI map by suggesting ways to tackle key ethical and societal issues. Existing explanation techniques…

Machine Learning · Computer Science 2022-05-02 Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

We look at preference change arising out of an interaction between two elements: the first is an initial preference ranking encoding a pre-existing attitude; the second element is new preference information signaling input from an…

Artificial Intelligence · Computer Science 2021-12-30 Adrian Haret , Johannes P. Wallner

Uncertainty in Logic Programming has been investigated during the last decades, dealing with various extensions of the classical LP paradigm and different applications. Existing proposals rely on different approaches, such as clause…

Logic in Computer Science · Computer Science 2010-07-22 Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

We endow prioritised default logic (PDL) with argumentation semantics using the ASPIC+ framework for structured argumentation, and prove that the conclusions of the justified arguments are exactly the prioritised default extensions.…

Artificial Intelligence · Computer Science 2015-07-02 Anthony P. Young , Sanjay Modgil , Odinaldo Rodrigues

This paper studies Linear Temporal Logic over Finite Traces (LTLf) where proposition letters are replaced with first-order formulas interpreted over arbitrary theories, in the spirit of Satisfiability Modulo Theories. The resulting logic,…

Logic in Computer Science · Computer Science 2022-05-25 Luca Geatti , Alessandro Gianola , Nicola Gigante

Computational argumentation offers formal frameworks for transparent, verifiable reasoning but has traditionally been limited by its reliance on domain-specific information and extensive feature engineering. In contrast, LLMs excel at…

Artificial Intelligence · Computer Science 2026-03-18 Stylianos Loukas Vasileiou , Antonio Rago , Francesca Toni , William Yeoh

We consider an approach to update nonmonotonic knowledge bases represented as extended logic programs under answer set semantics. New information is incorporated into the current knowledge base subject to a causal rejection principle…

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

This paper proposes a connection method \`a la Bibel for an exception-tolerant family of description logics (DLs). As for the language, we assume the DL $\mathcal{ALCH}$ extended with two typicality operators: one on (complex) concepts and…

Logic in Computer Science · Computer Science 2023-06-23 Renan Fernandes , Fred Freitas , Ivan Varzinczak , Pedro PM Farias