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The problem of explaining inconsistency-tolerant reasoning in knowledge bases (KBs) is a prominent topic in Artificial Intelligence (AI). While there is some work on this problem, the explanations provided by existing approaches often lack…

Artificial Intelligence · Computer Science 2025-02-18 Loan Ho , Stefan Schlobach

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

Artificial Intelligence · Computer Science 2012-07-19 Leila Amgoud , Henri Prade

In this position paper, we propose a reasoning framework that can model the reasoning process underlying natural language inferences. The framework is based on the semantic tableau method, a well-studied proof system in formal logic. Like…

Computation and Language · Computer Science 2025-02-10 Lasha Abzianidze

The paper adresses the problem of reasoning with ambiguities. Semantic representations are presented that leave scope relations between quantifiers and/or other operators unspecified. Truth conditions are provided for these representations…

cmp-lg · Computer Science 2008-02-03 Uwe Reyle

In this paper, we propose a model for building natural language explanations for Bayesian Network Reasoning in terms of factor arguments, which are argumentation graphs of flowing evidence, relating the observed evidence to a target…

Artificial Intelligence · Computer Science 2024-10-24 Jaime Sevilla , Nikolay Babakov , Ehud Reiter , Alberto Bugarin

The paper presents a software tool for analysis and interactive engagement in various logical reasoning tasks. A first feature of the program consists in providing an interface for working with logic-specific repositories of formal…

Computers and Society · Computer Science 2015-07-15 Ştefan Minică

With the recent advances in the field of artificial intelligence, an increasing number of decision-making tasks are delegated to software systems. A key requirement for the success and adoption of such systems is that users must trust…

Artificial Intelligence · Computer Science 2020-06-17 Ingrid Nunes , Dietmar Jannach

Explainable artificial intelligence techniques are developed at breakneck speed, but suitable evaluation approaches lag behind. With explainers becoming increasingly complex and a lack of consensus on how to assess their utility, it is…

Human-Computer Interaction · Computer Science 2023-04-18 Edward Small , Yueqing Xuan , Danula Hettiachchi , Kacper Sokol

Probabilistic argumentation allows reasoning about argumentation problems in a way that is well-founded by probability theory. However, in practice, this approach can be severely limited by the fact that probabilities are defined by adding…

Artificial Intelligence · Computer Science 2019-03-07 Nico Potyka

As a contribution to the challenge of building game-playing AI systems, we develop and analyse a formal language for representing and reasoning about strategies. Our logical language builds on the existing general Game Description Language…

Artificial Intelligence · Computer Science 2014-07-22 Dongmo Zhang , Michael Thielsher

In this paper we describe a novel method for evidential reasoning [1]. It involves modelling the process of evidential reasoning in three steps, namely, evidence structure construction, evidence accumulation, and decision making. The…

Artificial Intelligence · Computer Science 2013-03-25 Zhi An , David A. Bell , John G. Hughes

The ability to reason under uncertainty and with incomplete information is a fundamental requirement of decision support technology. In this paper we argue that the concentration on theoretical techniques for the evaluation and selection of…

Artificial Intelligence · Computer Science 2013-03-26 John Fox , Paul J. Krause

Legal reasoning requires both precise interpretation of statutory language and consistent application of complex rules, presenting significant challenges for AI systems. This paper introduces a modular multi-agent framework that decomposes…

Artificial Intelligence · Computer Science 2025-11-11 Albert Sadowski , Jarosław A. Chudziak

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

Artificial Intelligence · Computer Science 2023-08-17 Germán Vidal

Reasoning is fundamental to human intelligence, and critical for problem-solving, decision-making, and critical thinking. Reasoning refers to drawing new conclusions based on existing knowledge, which can support various applications like…

Computation and Language · Computer Science 2025-02-24 Mayi Xu , Yunfeng Ning , Yongqi Li , Jianhao Chen , Jintao Wen , Yao Xiao , Shen Zhou , Birong Pan , Zepeng Bao , Xin Miao , Hankun Kang , Ke Sun , Tieyun Qian

Bilinear systems of equations are defined, motivated and analyzed for solvability. Elementary structure is mentioned and it is shown that all solutions may be obtained as rank one completions of a linear matrix polynomial derived from…

Rings and Algebras · Mathematics 2013-03-21 Charles R. Johnson , Helena Šmigoc , Dian Yang

Automated reasoning is a key technology in the young but rapidly growing field of Explainable Artificial Intelligence (XAI). Explanability helps build trust in artificial intelligence systems beyond their mere predictive accuracy and…

Artificial Intelligence · Computer Science 2026-03-20 Ashlin Iser

We introduce partial Markov categories. In the same way that Markov categories encode stochastic processes, partial Markov categories encode stochastic processes with constraints, observations and updates. In particular, we prove a…

Logic in Computer Science · Computer Science 2025-04-21 Elena Di Lavore , Mario Román

Explanation facilities are a particularly important feature of expert system frameworks. It is an area in which traditional rule-based expert system frameworks have had mixed results. While explanations about control are well handled,…

Artificial Intelligence · Computer Science 2013-04-12 Steven W. Norton

A formal cyber reasoning framework for automating the threat hunting process is described. The new cyber reasoning methodology introduces an operational semantics that operates over three subspaces -- knowledge, hypothesis, and action -- to…

Cryptography and Security · Computer Science 2021-04-22 Frederico Araujo , Dhilung Kirat , Xiaokui Shu , Teryl Taylor , Jiyong Jang