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While looking for abductive explanations of a given set of manifestations, an ordering between possible solutions is often assumed. The complexity of finding/verifying optimal solutions is already known. In this paper we consider the…

Logic in Computer Science · Computer Science 2021-04-09 Paolo Liberatore , Marco Schaerf

Plausible reasoning concerns situations whose inherent lack of precision is not quantified; that is, there are no degrees or levels of precision, and hence no use of numbers like probabilities. A hopefully comprehensive set of principles…

Artificial Intelligence · Computer Science 2017-04-05 David Billington

Abductive explanations (AXp's) are widely used for understanding decisions of classifiers. Existing definitions are suitable when features are independent. However, we show that ignoring constraints when they exist between features may lead…

Artificial Intelligence · Computer Science 2024-09-19 Martin Cooper , Leila Amgoud

Ontology-based query answering (OBQA) augments classical query answering in databases by domain knowledge encoded in an ontology. Systems for OBQA use the ontological knowledge to infer new information that is not explicitly given in the…

Logic in Computer Science · Computer Science 2020-03-24 Stefan Borgwardt , Veronika Thost

Large language model (LLM)-based debugging systems can generate failure explanations, but these explanations may be incomplete or incorrect. Misleading explanations are harmful for downstream tasks (e.g., bug triage, bug fixing). We…

Software Engineering · Computer Science 2026-05-21 Julius Porbeck , Christian Medeiros Adriano , Holger Giese

The performance and usability of Large-Language Models (LLMs) are driving their use in explanation generation tasks. However, despite their widespread adoption, LLM explanations have been found to be unreliable, making it difficult for…

Computation and Language · Computer Science 2025-06-05 Diana Galvan-Sosa , Gabrielle Gaudeau , Pride Kavumba , Yunmeng Li , Hongyi gu , Zheng Yuan , Keisuke Sakaguchi , Paula Buttery

The need for systems to explain behavior to users has become more evident with the rise of complex technology like machine learning or self-adaptation. In general, the need for an explanation arises when the behavior of a system does not…

Software Engineering · Computer Science 2021-08-16 Mersedeh Sadeghi , Verena Klös , Andreas Vogelsang

The current literature on AI-advised decision making -- involving explainable AI systems advising human decision makers -- presents a series of inconclusive and confounding results. To synthesize these findings, we propose a simple theory…

Artificial Intelligence · Computer Science 2024-02-05 Raymond Fok , Daniel S. Weld

Fuzzy Description Logics (DLs) provide a means for representing vague knowledge about an application domain. In this paper, we study fuzzy extensions of conjunctive queries (CQs) over the DL $\mathcal{SROIQ}$ based on finite chains of…

Logic in Computer Science · Computer Science 2015-10-15 Stefan Borgwardt , Theofilos Mailis , Rafael Peñaloza , Anni-Yasmin Turhan

While recently developed NLP explainability methods let us open the black box in various ways (Madsen et al., 2022), a missing ingredient in this endeavor is an interactive tool offering a conversational interface. Such a dialogue system…

Computation and Language · Computer Science 2023-10-24 Nils Feldhus , Qianli Wang , Tatiana Anikina , Sahil Chopra , Cennet Oguz , Sebastian Möller

Logic-based approaches to AI have the advantage that their behavior can in principle be explained to a user. If, for instance, a Description Logic reasoner derives a consequence that triggers some action of the overall system, then one can…

Artificial Intelligence · Computer Science 2022-05-26 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus involving induction and co-induction. These proof principles…

Logic in Computer Science · Computer Science 2010-10-01 Alwen Tiu , Alberto Momigliano

Emerging ontology authoring methods to add knowledge to an ontology focus on ameliorating the validation bottleneck. The verification of the newly added axiom is still one of trying and seeing what the reasoner says, because a systematic…

Artificial Intelligence · Computer Science 2015-12-22 C. Maria Keet , Agnieszka Lawrynowicz

Constraint logic programming combines declarativity and efficiency thanks to constraint solvers implemented for specific domains. Value withdrawal explanations have been efficiently used in several constraints programming environments but…

Software Engineering · Computer Science 2007-05-23 Willy Lesaint

The complete reason behind a decision is a Boolean formula that characterizes why the decision was made. This recently introduced notion has a number of applications, which include generating explanations, detecting decision bias and…

Artificial Intelligence · Computer Science 2022-03-22 Adnan Darwiche , Chunxi Ji

OWL ontologies, whose formal semantics are rooted in Description Logic (DL), have been widely used for knowledge representation. Similar to Knowledge Graphs (KGs), ontologies are often incomplete, and maintaining and constructing them has…

Artificial Intelligence · Computer Science 2024-03-26 Mathias Jackermeier , Jiaoyan Chen , Ian Horrocks

Recursive relational specifications are commonly used to describe the computational structure of formal systems. Recent research in proof theory has identified two features that facilitate direct, logic-based reasoning about such…

Logic in Computer Science · Computer Science 2010-09-24 Andrew Gacek , Dale Miller , Gopalan Nadathur

We propose a large language model explainability technique for obtaining faithful natural language explanations by grounding the explanations in a reasoning process. When converted to a sequence of tokens, the outputs of the reasoning…

Machine Learning · Computer Science 2026-03-17 Vojtech Cahlik , Rodrigo Alves , Pavel Kordik

We study the enumeration of answers to ontology-mediated queries when the ontology is formulated in a description logic that supports functional roles and the query is a CQ. In particular, we show that enumeration is possible with linear…

Logic in Computer Science · Computer Science 2022-11-29 Carsten Lutz , Marcin Przybylko

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler