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Answer set programming (ASP) is a popular declarative programming paradigm with various applications. Programs can easily have many answer sets that cannot be enumerated in practice, but counting still allows quantifying solution spaces. If…

Artificial Intelligence · Computer Science 2023-11-14 Johannes K. Fichte , Sarah Alice Gaggl , Markus Hecher , Dominik Rusovac

A major bottleneck in search-based program synthesis is the exponentially growing search space which makes learning large programs intractable. Humans mitigate this problem by leveraging the compositional nature of the real world: In…

Artificial Intelligence · Computer Science 2024-12-25 Jonas Witt , Sebastijan Dumančić , Tias Guns , Claus-Christian Carbon

This paper describes an approach to the methodology of answer set programming (ASP) that can facilitate the design of encodings that are easy to understand and provably correct. Under this approach, after appending a rule or a small group…

Artificial Intelligence · Computer Science 2019-08-08 Vladimir Lifschitz

We present the hybrid ASP solver clingcon, combining the simple modeling language and the high performance Boolean solving capacities of Answer Set Programming (ASP) with techniques for using non-Boolean constraints from the area of…

Logic in Computer Science · Computer Science 2012-10-09 Max Ostrowski , Torsten Schaub

By incorporating the methods of Answer Set Programming (ASP) and Markov Logic Networks (MLN), LPMLN becomes a powerful tool for non-monotonic, inconsistent and uncertain knowledge representation and reasoning. To facilitate the applications…

Logic in Computer Science · Computer Science 2019-09-19 Bin Wang , Jun Shen , Shutao Zhang , Zhizheng Zhang

In this work, we propose Answer-Set Programming (ASP) as a tool for rapid prototyping of dynamic programming algorithms based on tree decompositions. In fact, many such algorithms have been designed, but only a few of them found their way…

Artificial Intelligence · Computer Science 2012-10-09 Bernhard Bliem , Michael Morak , Stefan Woltran

This paper contributes to the mathematical foundations of logic programming by introducing and studying the sequential composition of answer set programs. On the semantic side, we show that the immediate consequence operator of a program…

Artificial Intelligence · Computer Science 2024-06-13 Christian Antić

Answer Set Programming (ASP) is nowadays a dominant rule-based knowledge representation tool. Though existing ASP variants enjoy efficient implementations, generating an answer set remains intractable. The goal of this research is to define…

Logic in Computer Science · Computer Science 2020-06-30 Andrzej Szalas

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

Serial pattern mining consists in extracting the frequent sequential patterns from a unique sequence of itemsets. This paper explores the ability of a declarative language, such as Answer Set Programming (ASP), to solve this issue…

Artificial Intelligence · Computer Science 2014-09-30 Thomas Guyet , Yves Moinard , René Quiniou

Among the myriad of desirable properties discussed in the context of forgetting in Answer Set Programming (ASP), strong persistence naturally captures its essence. Recently, it has been shown that it is not always possible to forget a set…

Artificial Intelligence · Computer Science 2019-08-01 Ricardo Gonçalves , Matthias Knorr , João Leite , Stefan Woltran

We present I-DLV+MS , a new Answer Set Programming (ASP) system that integrates an efficient grounder, namely I-DLV, with an automatic selector that inductively chooses a solver: depending on some inherent features of the instantiation…

Logic in Computer Science · Computer Science 2020-02-19 Francesco Calimeri , Carmine Dodaro , Davide Fuscà , Simona Perri , Jessica Zangari

In this paper we consider Epistemic Logic Programs, which extend Answer Set Programming (ASP) with "epistemic operators" and "epistemic negation", and a recent approach to the semantics of such programs in terms of World Views. We propose…

Artificial Intelligence · Computer Science 2020-02-19 Stefania Costantini

One of the most challenging goals in designing intelligent systems is empowering them with the ability to synthesize programs from data. Namely, given specific requirements in the form of input/output pairs, the goal is to train a machine…

Programming Languages · Computer Science 2021-10-18 Giovanni De Toni , Luca Erculiani , Andrea Passerini

This paper deals with the algorithmic aspects of solving feasibility problems of semidefinite programming (SDP), aka linear matrix inequalities (LMI). Since in some SDP instances all feasible solutions have irrational entries, numerical…

Optimization and Control · Mathematics 2025-04-28 Vladimir Kolmogorov , Simone Naldi , Jeferson Zapata

We propose a method for generating rule sets as global and local explanations for tree-ensemble learning methods using Answer Set Programming (ASP). To this end, we adopt a decompositional approach where the split structures of the base…

Artificial Intelligence · Computer Science 2025-01-22 Akihiro Takemura , Katsumi Inoue

The Acceptance Probability Estimation Problem (APEP) is to additively approximate the acceptance probability of a Boolean circuit. This problem admits a probabilistic approximation scheme. A central question is whether we can design a…

Computational Complexity · Computer Science 2021-03-16 Peter Dixon , A. Pavan , N. V. Vinodchandran

Recently, researchers in answer set programming and constraint programming spent significant efforts in the development of hybrid languages and solving algorithms combining the strengths of these traditionally separate fields. These efforts…

Artificial Intelligence · Computer Science 2013-12-23 Marcello Balduccini , Yulia Lierler

Possibilistic logic programs (poss-programs) under stable models are a major variant of answer set programming (ASP). While its semantics (possibilistic stable models) and properties have been well investigated, the problem of inductive…

Artificial Intelligence · Computer Science 2026-01-14 Hongbo Hu , Yisong Wang , Yi Huang , Kewen Wang

Traditional Answer Set Programming (ASP) rests upon one-shot solving. A logic program is fed into an ASP system and its stable models are computed. The high practical relevance of dynamic applications led to the development of multi-shot…

Programming Languages · Computer Science 2015-11-05 Martin Gebser , Phillip Obermeier , Torsten Schaub