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The Abstraction and Reasoning Corpus (ARC) is a set of procedural tasks that tests an agent's ability to flexibly solve novel problems. While most ARC tasks are easy for humans, they are challenging for state-of-the-art AI. What makes…

Open answer set programming (OASP) is an extension of answer set programming where one may ground a program with an arbitrary superset of the program's constants. We define a fixed point logic (FPL) extension of Clark's completion such that…

Artificial Intelligence · Computer Science 2007-05-23 Stijn Heymans , Davy Van Nieuwenborgh , Dirk Vermeir

We present NeurASP, a simple extension of answer set programs by embracing neural networks. By treating the neural network output as the probability distribution over atomic facts in answer set programs, NeurASP provides a simple and…

Artificial Intelligence · Computer Science 2023-07-18 Zhun Yang , Adam Ishay , Joohyung Lee

As software systems are getting increasingly connected, there is a need for equipping nonmonotonic logic programs with access to external sources that are possibly remote and may contain information in heterogeneous formats. To cater for…

Artificial Intelligence · Computer Science 2020-02-19 Thomas Eiter , Michael Fink , Giovambattista Ianni , Thomas Krennwallner , Christoph Redl , Peter Schüller

The goal of inductive logic programming is to induce a logic program (a set of logical rules) that generalises training examples. Inducing programs with many rules and literals is a major challenge. To tackle this challenge, we introduce an…

Machine Learning · Computer Science 2023-08-21 Andrew Cropper , Céline Hocquette

Repeated executions of reasoning tasks for varying inputs are necessary in many applicative settings, such as stream reasoning. In this context, we propose an incremental grounding approach for the answer set semantics. We focus on the…

Artificial Intelligence · Computer Science 2020-02-19 Francesco Calimeri , Giovambattista Ianni , Francesco Pacenza , Simona Perri , Jessica Zangari

Answer set programming (ASP) is a popular nonmonotonic-logic based paradigm for knowledge representation and solving combinatorial problems. Computing the answer set of an ASP program is NP-hard in general, and researchers have been…

Artificial Intelligence · Computer Science 2021-04-06 Fang Li , Huaduo Wang , Gopal Gupta

Answer Set Programming (ASP) is a successful method for solving a range of real-world applications. Despite the availability of fast ASP solvers, computing answer sets demands a very large computational power, since the problem tackled is…

Artificial Intelligence · Computer Science 2021-09-20 Rachel Ben-Eliyahu-Zohary

We discuss the evolution of aspects of nonmonotonic reasoning towards the computational paradigm of answer-set programming (ASP). We give a general overview of the roots of ASP and follow up with the personal perspective on research…

Artificial Intelligence · Computer Science 2011-08-17 Victor W. Marek , Ilkka Niemela , Miroslaw Truszczynski

Answer set programming is a leading declarative constraint programming paradigm with wide use for complex knowledge-intensive applications. Modern answer set programming languages support many equivalent ways to model constraints and…

Artificial Intelligence · Computer Science 2020-09-23 Michael Dingess , Miroslaw Truszczynski

The paper introduces the notion of off-line justification for Answer Set Programming (ASP). Justifications provide a graph-based explanation of the truth value of an atom w.r.t. a given answer set. The paper extends also this notion to…

Artificial Intelligence · Computer Science 2008-12-04 Enrico Pontelli , Tran Cao Son , Omar Elkhatib

Answer Set Programming (ASP) is a popular declarative reasoning and problem solving approach in symbolic AI. Its rule-based formalism makes it inherently attractive for explainable and interpretive reasoning, which is gaining importance…

Artificial Intelligence · Computer Science 2026-01-22 Thomas Eiter , Tobias Geibinger , Zeynep G. Saribatur

Answer Set Programming (ASP) is a well-established declarative problem solving paradigm which became widely used in AI and recognized as a powerful tool for knowledge representation and reasoning (KRR), especially for its high…

Artificial Intelligence · Computer Science 2017-07-24 Francesco Calimeri , Davide Fuscà , Stefano Germano , Simona Perri , Jessica Zangari

Rule-based reasoning is an essential part of human intelligence prominently formalized in artificial intelligence research via logic programs. Describing complex objects as the composition of elementary ones is a common strategy in computer…

Artificial Intelligence · Computer Science 2023-12-15 Christian Antic

In Knowledge Representation, it is crucial that knowledge engineers have a good understanding of the formal expressions that they write. What formal expressions state intuitively about the domain of discourse is studied in the theory of the…

Artificial Intelligence · Computer Science 2019-01-29 Marc Denecker , Yuliya Lierler , Miroslaw truszczynski , Joost Vennekens

Logic programming is a powerful paradigm for programming autonomous agents in dynamic domains, as witnessed by languages such as Golog and Flux. In this work we present ALPprolog, an expressive, yet efficient, logic programming language for…

Logic in Computer Science · Computer Science 2011-07-27 Conrad Drescher , Michael Thielscher

We present a logical framework to represent and reason about stochastic optimization problems based on probability answer set programming. This is established by allowing probability optimization aggregates, e.g., minimum and maximum in the…

Artificial Intelligence · Computer Science 2013-04-15 Emad Saad

Answer set programming (ASP) is a well-established logic programming language that offers an intuitive, declarative syntax for problem solving. In its traditional application, a fixed ASP program for a given problem is designed and the…

Artificial Intelligence · Computer Science 2016-08-08 Manuel Bichler , Michael Morak , Stefan Woltran

Answer Set Programming (ASP) is a declarative problem solving paradigm that can be used to encode a combinatorial problem as a logic program whose stable models correspond to the solutions of the considered problem. ASP has been widely…

Logic in Computer Science · Computer Science 2024-07-15 Van-Giang Trinh , Belaid Benhamou

A logic program is an executable specification. For example, merge sort in pure Prolog is a logical formula, yet shows creditable performance on long linked lists. But such executable specifications are a compromise: the logic is distorted…

Programming Languages · Computer Science 2015-09-29 M. H. van Emden