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A relational database is inconsistent if it does not satisfy a given set of integrity constraints. Nevertheless, it is likely that most of the data in it is consistent with the constraints. In this paper we apply logic programming based on…

Databases · Computer Science 2007-05-23 Marcelo Arenas , Leopoldo Bertossi , Jan Chomicki

In this paper we exploit Answer Set Programming (ASP) for reasoning in a rational extension SROEL-R-T of the low complexity description logic SROEL, which underlies the OWL EL ontology language. In the extended language, a typicality…

Artificial Intelligence · Computer Science 2016-08-09 Laura Giordano , Daniele Theseider Dupré

Answer set programming (ASP) is a paradigm for modeling knowledge intensive domains and solving challenging reasoning problems. In ASP solving, a typical strategy is to preprocess problem instances by rewriting complex rules into simpler…

Logic in Computer Science · Computer Science 2020-11-09 Jori Bomanson , Tomi Janhunen

Constraint answer set programming is a promising research direction that integrates answer set programming with constraint processing. It is often informally related to the field of satisfiability modulo theories. Yet, the exact formal link…

Logic in Computer Science · Computer Science 2017-02-27 Yuliya Lierler , Benjamin Susman

While in recent years machine learning (ML) based approaches have been the popular approach in developing end-to-end question answering systems, such systems often struggle when additional knowledge is needed to correctly answer the…

Artificial Intelligence · Computer Science 2019-05-02 Arindam Mitra , Peter Clark , Oyvind Tafjord , Chitta Baral

Epistemic Logic Programs (ELPs), that is, Answer Set Programming (ASP) extended with epistemic operators, have received renewed interest in recent years, which led to a flurry of new research, as well as efficient solvers. An important…

Logic in Computer Science · Computer Science 2018-11-13 Wolfgang Faber , Michael Morak , Stefan Woltran

Extending ASP with constraints (CASP) enhances its expressiveness and performance. This extension is not straightforward as the grounding phase, present in most ASP systems, removes variables and the links among them, and also causes a…

Programming Languages · Computer Science 2018-06-01 Joaquín Arias , Manuel Carro , Elmer Salazar , Kyle Marple , Gopal Gupta

Reconfiguration is an important activity for companies selling configurable products or services which have a long life time. However, identification of a set of required changes in a legacy configuration is a hard problem, since even small…

Artificial Intelligence · Computer Science 2011-09-02 Gerhard Friedrich , Anna Ryabokon , Andreas A. Falkner , Alois Haselböck , Gottfried Schenner , Herwig Schreiner

We introduce a generalized logic programming paradigm where programs, consisting of facts and rules with the usual syntax, can be enriched by co-facts, which syntactically resemble facts but have a special meaning. As in coinductive logic…

Programming Languages · Computer Science 2017-09-26 Davide Ancona , Francesco Dagnino , Elena Zucca

Recently, ABA Learning has been proposed as a form of symbolic machine learning for drawing Assumption-Based Argumentation frameworks from background knowledge and positive and negative examples. We propose a novel method for implementing…

Artificial Intelligence · Computer Science 2023-08-31 Emanuele De Angelis , Maurizio Proietti , Francesca Toni

In this paper, we present two alternative approaches to defining answer sets for logic programs with arbitrary types of abstract constraint atoms (c-atoms). These approaches generalize the fixpoint-based and the level mapping based answer…

Artificial Intelligence · Computer Science 2011-10-12 E. Pontelli , T. C. Son , P. H. Tu

Prioritized default reasoning has illustrated its rich expressiveness and flexibility in knowledge representation and reasoning. However, many important aspects of prioritized default reasoning have yet to be thoroughly explored. In this…

Artificial Intelligence · Computer Science 2007-05-23 Yan Zhang

This article presents the use of Answer Set Programming (ASP) to mine sequential patterns. ASP is a high-level declarative logic programming paradigm for high level encoding combinatorial and optimization problem solving as well as…

Artificial Intelligence · Computer Science 2017-11-15 Thomas Guyet , Yves Moinard , René Quiniou , Torsten Schaub

This note presents a historical survey of informal semantics that are associated with logic programming under answer set semantics. We review these in uniform terms and align them with two paradigms: Answer Set Programming and ASP-Prolog --…

Artificial Intelligence · Computer Science 2024-07-10 Yuliya Lierler

The infinitary propositional logic of here-and-there is important for the theory of answer set programming in view of its relation to strongly equivalent transformations of logic programs. We know a formal system axiomatizing this logic…

Logic in Computer Science · Computer Science 2016-08-05 Amelia Harrison , Vladimir Lifschitz , Julian Michael

Answer set programming (ASP) aims to realize the AI vision: The user specifies the problem, and the computer solves it. Indeed, ASP has made this vision true in many application domains. However, will current ASP solving techniques scale up…

Artificial Intelligence · Computer Science 2026-01-08 Veronika Semmelrock , Gerhard Friedrich

We study here a natural situation when constraint programming can be entirely reduced to rule-based programming. To this end we explain first how one can compute on constraint satisfaction problems using rules represented by simple…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt , Eric Monfroy

We consider the problem of implementing deontic modal logic. We show how (deontic) modal operators can be elegantly and directly expressed using default negation (negation-as-failure) and strong negation present in answer set programming…

Artificial Intelligence · Computer Science 2026-04-28 Gopal Gupta , Abhiramon Rajasekharan , Alexis R. Tudor , Elmer Salazar , Joaquín Arias

Quantified Answer Set Programming (QASP) extends Answer Set Programming (ASP) by allowing quantification over propositional variables, similar to Quantified Boolean Formulas (QBF). In this paper, we interpret models of QASP formulas in…

Logic in Computer Science · Computer Science 2026-01-08 Martín Diéguez , Igor Stéphan

A default theory can be characterized by its sets of plausible conclusions, called its extensions. But, due to the theoretical complexity of Default Logic (Sigma_2p-complete), the problem of finding such an extension is very difficult if…

Artificial Intelligence · Computer Science 2007-05-23 P. Nicolas , F. Saubion , I. Stephan