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Hybrid Answer Set Programming (Hybrid ASP) is an extension of Answer Set Programming (ASP) that allows ASP-like rules to interact with outside sources. The Splitting Set Theorem is an important and extensively used result for ASP. The paper…

Artificial Intelligence · Computer Science 2020-09-23 Alex Brik

We present an enhancement of exp(ASP), a system that generates explanation graphs for a literal l - an atom a or its default negation ~a - given an answer set A of a normal logic program P, which explain why l is true (or false) given A and…

Artificial Intelligence · Computer Science 2021-09-20 Ly Ly Trieu , Tran Cao Son , Marcello Balduccini

We propose a method for generating explainable rule sets from tree-ensemble learners using Answer Set Programming (ASP). To this end, we adopt a decompositional approach where the split structures of the base decision trees are exploited in…

Artificial Intelligence · Computer Science 2021-09-20 Akihiro Takemura , Katsumi Inoue

We develop a computational approach to Metric Answer Set Programming (ASP) to allow for expressing quantitative temporal constrains, like durations and deadlines. A central challenge is to maintain scalability when dealing with fine-grained…

Artificial Intelligence · Computer Science 2025-06-11 Arvid Becker , Pedro Cabalar , Martin Diéguez , Javier Romero , Susana Hahn , Torsten Schaub

We present algorithms based on satisfiability problem (SAT) solving, as well as answer set programming (ASP), for solving the problem of determining inconsistency degrees in propositional knowledge bases. We consider six different…

Artificial Intelligence · Computer Science 2025-04-07 Isabelle Kuhlmann , Anna Gessler , Vivien Laszlo , Matthias Thimm

We develop a computational approach to Metric Answer Set Programming (ASP) to allow for expressing quantitative temporal constraints, like durations and deadlines. A central challenge is to maintain scalability when dealing with…

Artificial Intelligence · Computer Science 2026-01-29 Arvid Becker , Pedro Cabalar , Martin Diéguez , Susana Hahn , Javier Romero , Torsten Schaub

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

Broad application of answer set programming (ASP) for declarative problem solving requires the development of tools supporting the coding process. Program debugging is one of the crucial activities within this process. Recently suggested…

Artificial Intelligence · Computer Science 2014-10-29 Kostyantyn Shchekotykhin

In answer set programming (ASP), answer sets capture solutions to search problems of interest and thus the efficient computation of answer sets is of utmost importance. One viable implementation strategy is provided by translation-based ASP…

Logic in Computer Science · Computer Science 2023-08-31 Tomi Janhunen

Querying over disjunctive ASP with functions is a highly undecidable task in general. In this paper we focus on disjunctive logic programs with stratified negation and functions under the stable model semantics (ASP^{fs}). We show that…

Logic in Computer Science · Computer Science 2010-07-26 Mario Alviano , Wolfgang Faber , Nicola Leone

The development of complex software requires tools promoting fail-fast approaches, so that bugs and unexpected behavior can be quickly identified and fixed. Tools for data validation may save the day of computer programmers. In fact,…

Logic in Computer Science · Computer Science 2022-02-22 Mario Alviano , Carmine Dodaro , Arnel Zamayla

We solve constraint satisfaction problems through translation to answer set programming (ASP). Our reformulations have the property that unit-propagation in the ASP solver achieves well defined local consistency properties like arc, bound…

Artificial Intelligence · Computer Science 2011-04-21 Christian Drescher , Toby Walsh

Answer set programs in practice are often subject to change. This can lead to inconsistencies in the modified program due to conflicts between rules which are the results of the derivation of strongly complementary literals. To facilitate…

Logic in Computer Science · Computer Science 2023-08-31 Andre Thevapalan , Gabriele Kern-Isberner

We take up an idea from the folklore of Answer Set Programming, namely that choices, integrity constraints along with a restricted rule format is sufficient for Answer Set Programming. We elaborate upon the foundations of this idea in the…

Artificial Intelligence · Computer Science 2021-11-25 Jorge Fandinno , Seemran Mishra , Javier Romero , Torsten Schaub

Although Boolean Constraint Technology has made tremendous progress over the last decade, the efficacy of state-of-the-art solvers is known to vary considerably across different types of problem instances and is known to depend strongly on…

Artificial Intelligence · Computer Science 2014-01-07 Holger Hoos , Roland Kaminski , Marius Lindauer , Torsten Schaub

This paper presents a novel approach to automated stripboard circuit layout design using Answer Set Programming (ASP). The work formulates the layout problem as both a synthesis and multi-objective optimization task that simultaneously…

Hardware Architecture · Computer Science 2025-12-05 Fang Li

Possibilistic answer set programming (PASP) extends answer set programming (ASP) by attaching to each rule a degree of certainty. While such an extension is important from an application point of view, existing semantics are not…

Artificial Intelligence · Computer Science 2012-03-19 Kim Bauters , Steven Schockaert , Martine De Cock , Dirk Vermeir

Weighted knowledge bases for description logics with typicality under a "concept-wise" multi-preferential semantics provide a logical interpretation of MultiLayer Perceptrons. In this context, Answer Set Programming (ASP) has been shown to…

Artificial Intelligence · Computer Science 2023-03-28 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

We present an implementation of an answer-set programming paradigm, called aspps (short for answer-set programming with propositional schemata). The system aspps is designed to process PS+ theories. It consists of two basic modules. The…

Artificial Intelligence · Computer Science 2007-05-23 Deborah East. Miroslaw Truszczynski

Over the last two decades, propositional satisfiability (SAT) has become one of the most successful and widely applied techniques for the solution of NP-complete problems. The aim of this paper is to investigate theoretically how Sat can be…

Logic in Computer Science · Computer Science 2013-05-06 Johannes Klaus Fichte , Stefan Szeider