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Open Answer Set Programming (OASP) is an attractive framework for integrating ontologies and rules. In general OASP is undecidable. In previous work we provided a tableau-based algorithm for satisfiability checking w.r.t. forest logic…

Logic in Computer Science · Computer Science 2010-11-30 Cristina Feier , Stijn Heymans

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

Answer Set Programming (ASP) is an important logic programming paradigm within the field of Knowledge Representation and Reasoning. As a concise, human-readable, declarative language, ASP is an excellent tool for developing trustworthy…

Logic in Computer Science · Computer Science 2025-02-14 Zachary Hansen

Answer Set Programming (ASP) is a purely declarative formalism developed in the field of logic programming and nonmonotonic reasoning: computational problems are encoded by logic programs whose answer sets, corresponding to solutions, are…

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

Answer set programming (ASP) is a logic programming formalism used in various areas of artificial intelligence like combinatorial problem solving and knowledge representation and reasoning. It is known that enhancing ASP with function…

Artificial Intelligence · Computer Science 2025-09-24 Lukas Gerlach , David Carral , Markus Hecher

Fuzzy answer set programming (FASP) combines two declarative frameworks, answer set programming and fuzzy logic, in order to model reasoning by default over imprecise information. Several connectives are available to combine different…

Artificial Intelligence · Computer Science 2020-02-19 Mario Alviano , Rafael Penaloza

The work reported here introduces Defeasible Logic Programming (DeLP), a formalism that combines results of Logic Programming and Defeasible Argumentation. DeLP provides the possibility of representing information in the form of weak rules…

Artificial Intelligence · Computer Science 2007-05-23 Alejandro Javier Garcia , Guillermo Ricardo Simari

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

Standard answer set programming (ASP) targets at solving search problems from the first level of the polynomial time hierarchy (PH). Tackling search problems beyond NP using ASP is less straightforward. The class of disjunctive logic…

Artificial Intelligence · Computer Science 2016-08-16 Bart Bogaerts , Tomi Janhunen , Shahab Tasharrofi

For widespread deployment in domains characterized by partial observability, non-deterministic actions and unforeseen changes, robots need to adapt sensing, processing and interaction with humans to the tasks at hand. While robots typically…

Artificial Intelligence · Computer Science 2013-08-05 Shiqi Zhang , Mohan Sridharan

Answer Set Programming (ASP) is logic programming under the stable model or answer set semantics. During the last decade, this paradigm has seen several extensions by generalizing the notion of atom used in these programs. Among these,…

Artificial Intelligence · Computer Science 2014-05-07 Mario Alviano , Wolfgang Faber

My research explores integrating deep learning and logic programming to set the basis for a new generation of AI systems. By combining neural networks with Inductive Logic Programming (ILP), the goal is to construct systems that make…

Logic in Computer Science · Computer Science 2025-02-14 Talissa Dreossi

Defeasible argumentation frameworks have evolved to become a sound setting to formalize commonsense, qualitative reasoning from incomplete and potentially inconsistent knowledge. Defeasible Logic Programming (DeLP) is a defeasible…

Artificial Intelligence · Computer Science 2012-07-19 Carlos Chesnevar , Guillermo Simari , Teresa Alsinet , Lluis Godo

Answer Set Programming (ASP) is a prominent problem-modeling and solving framework, whose solutions are called answer sets. Epistemic logic programs (ELP) extend ASP to reason about all or some answer sets. Solutions to an ELP can be seen…

Logic in Computer Science · Computer Science 2025-03-10 Thomas Eiter , Johannes K. Fichte , Markus Hecher , Stefan Woltran

Decision tree models, including random forests and gradient-boosted decision trees, are widely used in machine learning due to their high predictive performance. However, their complex structures often make them difficult to interpret,…

Artificial Intelligence · Computer Science 2026-01-08 Akihiro Takemura , Masayuki Otani , Katsumi Inoue

Significant research has been conducted in recent years to extend Inductive Logic Programming (ILP) methods to induce Answer Set Programs (ASP). These methods perform an exhaustive search for the correct hypothesis by encoding an ILP…

Logic in Computer Science · Computer Science 2018-02-20 Farhad Shakerin , Gopal Gupta

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

Existing work on theorem proving for the assertion language of separation logic (SL) either focuses on abstract semantics which are not readily available in most applications of program verification, or on concrete models for which…

Logic in Computer Science · Computer Science 2016-08-25 Zhe Hou , Alwen Tiu

On the Semantic Web, metadata and ontologies are used to enable computers to read data. The Web Ontology Language (OWL) has been proposed as a standard ontological language, and various inference systems for this language have been studied.…

Logic in Computer Science · Computer Science 2022-08-11 Daiki Takahashi , Ken Kaneiwa

Epistemic logic programs (ELPs) are a popular generalization of standard Answer Set Programming (ASP) providing means for reasoning over answer sets within the language. This richer formalism comes at the price of higher computational…

Computational Complexity · Computer Science 2020-01-14 Markus Hecher , Michael Morak , Stefan Woltran
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