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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 a new use of Answer Set Programming (ASP) to discover the molecular structure of chemical samples based on the relative abundance of elements and structural fragments, as measured in mass spectrometry. To constrain the…

Logic in Computer Science · Computer Science 2026-02-25 Nils Küchenmeister , Alex Ivliev , Markus Krötzsch

Answer Set Programming (ASP) is a powerful tool for solving real-world problems. However, many problems involve numeric values and complex constraints beyond the capabilities of standard ASP solvers. Hybrid solvers like CLINGCON and…

Artificial Intelligence · Computer Science 2025-02-14 Nicolas Rühling

Our broader goal is to automatically translate English sentences into formulas in appropriate knowledge representation languages as a step towards understanding and thus answering questions with respect to English text. Our focus in this…

Artificial Intelligence · Computer Science 2012-10-23 Chitta Baral , Juraj Dzifcak , Marcos A. Gonzalez , Aaron Gottesman

We present some applications of intermediate logics in the field of Answer Set Programming (ASP). A brief, but comprehensive introduction to the answer set semantics, intuitionistic and other intermediate logics is given. Some equivalence…

Logic in Computer Science · Computer Science 2007-05-23 Mauricio Osorio , Juan Antonio Navarro , Jose Arrazola

In this paper we reexamine the place and role of stable model semantics in logic programming and contrast it with a least Herbrand model approach to Horn programs. We demonstrate that inherent features of stable model semantics naturally…

Logic in Computer Science · Computer Science 2007-05-23 Victor W. Marek , Miroslaw Truszczynski

This paper describes a system, called PLP, for compiling ordered logic programs into standard logic programs under the answer set semantics. In an ordered logic program, rules are named by unique terms, and preferences among rules are given…

Artificial Intelligence · Computer Science 2007-05-23 James P. Delgrande , Torsten Schaub , Hans Tompits

Answer Set Programming (ASP) is a well-established declarative paradigm. One of the successes of ASP is the availability of efficient systems. State-of-the-art systems are based on the ground+solve approach. In some applications this…

Artificial Intelligence · Computer Science 2018-02-01 Bernardo Cuteri , Carmine Dodaro , Francesco Ricca , Peter Schüller

This paper contributes to the area of inductive logic programming by presenting a new learning framework that allows the learning of weak constraints in Answer Set Programming (ASP). The framework, called Learning from Ordered Answer Sets,…

Artificial Intelligence · Computer Science 2020-02-19 Mark Law , Alessandra Russo , Krysia Broda

In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimension of the model to be estimated. However…

Optimization and Control · Mathematics 2012-10-30 Venkat Chandrasekaran , Benjamin Recht , Pablo A. Parrilo , Alan S. Willsky

Preference handling and optimization are indispensable means for addressing non-trivial applications in Answer Set Programming (ASP). However, their implementation becomes difficult whenever they bring about a significant increase in…

Logic in Computer Science · Computer Science 2011-07-29 Martin Gebser , Roland Kaminski , Torsten Schaub

Answer Set Programming (ASP) is a powerful modelling formalism that is very efficient in solving combinatorial problems. ASP solvers implement the stable model semantics that eliminates circular derivations between Boolean variables from…

Artificial Intelligence · Computer Science 2014-05-15 Rehan Abdul Aziz

Answer Set Programming (ASP) is a paradigm for modeling and solving problems for knowledge representation and reasoning. There are plenty of results dedicated to studying the hardness of (fragments of) ASP. So far, these studies resulted in…

Artificial Intelligence · Computer Science 2022-10-10 Markus Hecher

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

Logic programs, more specifically, Answer-set programs, can be annotated with probabilities on facts to express uncertainty. We address the problem of propagating weight annotations on facts (eg probabilities) of an ASP to its standard…

Logic in Computer Science · Computer Science 2025-03-31 Francisco Coelho , Bruno Dinis , Dietmar Seipel , Salvador Abreu

Answer Set Programming (ASP) is a popular declarative programming language for solving hard combinatorial problems. Although ASP has gained widespread acceptance in academic and industrial contexts, there are certain user groups who may…

Artificial Intelligence · Computer Science 2023-11-20 Simone Caruso , Carmine Dodaro , Marco Maratea , Marco Mochi , Francesco Riccio

Answer Set Programming (ASP) is a well-established paradigm of declarative programming in close relationship with other declarative formalisms such as SAT Modulo Theories, Constraint Handling Rules, FO(.), PDDL and many others. Since its…

Artificial Intelligence · Computer Science 2020-02-19 Francesco Calimeri , Giovambattista Ianni , Francesco Ricca

We examine the practicality for a user of using Answer Set Programming (ASP) for representing logical formalisms. We choose as an example a formalism aiming at capturing causal explanations from causal information. We provide an…

Artificial Intelligence · Computer Science 2010-12-06 Yves Moinard

Epistemic Logic Programs (ELPs) extend Answer Set Programming (ASP) with epistemic negation and have received renewed interest in recent years. This led to the development of new research and efficient solving systems for ELPs. In practice,…

Logic in Computer Science · Computer Science 2020-02-19 Wolfgang Faber , Michael Morak , Stefan Woltran

We examine the practicality for a user of using Answer Set Programming (ASP) for representing logical formalisms. Our example is a formalism aiming at capturing causal explanations from causal information. We show the naturalness and…

Artificial Intelligence · Computer Science 2020-07-17 Yves Moinard