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Answer Set Programming (ASP) is an increasingly popular framework for declarative programming that admits the description of problems by means of rules and constraints that form a disjunctive logic program. In particular, many AI problems…

Computational Complexity · Computer Science 2014-03-07 Johannes Klaus Fichte , Stefan Szeider

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

Answer Set Programming (ASP) is a well-known problem-solving formalism in computational logic. Nowadays, ASP is used in many real world scenarios thanks to ASP solvers. Standard evaluation of ASP programs suffers from an intrinsic…

Logic in Computer Science · Computer Science 2021-09-20 Giuseppe Mazzotta

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

The development of temporal extensions of Answer Set Programming (ASP) has led to the emergence of non-monotonic linear-time (TEL), dynamic (DEL), and metric (MEL) temporal equilibrium logics. However, the inherent rigidity of highly…

Artificial Intelligence · Computer Science 2026-05-29 Susana Hahn , Amade Nems , Javier Romero , Torsten Schaub

In our daily lives and industrial settings, we often encounter dynamic problems that require reasoning over time and metric constraints. These include tasks such as scheduling, routing, and production sequencing. Dynamic logics have…

Artificial Intelligence · Computer Science 2025-02-14 Susana Hahn

Recent large language models (LLMs) have achieved impressive reasoning milestones but continue to struggle with high computational costs, logical inconsistencies, and sharp performance degradation on high-complexity problems. While…

Artificial Intelligence · Computer Science 2026-05-01 Adam Ishay , Joohyung Lee

We have focused on Answer Set Programming (ASP), more specifically, answer set counting, exploring both exact and approximate methodologies. We developed an exact ASP counter, sharpASP, which utilizes a compact encoding for propositional…

Computation and Language · Computer Science 2025-02-14 Mohimenul Kabir

Constraint Answer Set Programming (CASP) is a hybrid paradigm that enriches Answer Set Programming (ASP) with numerical constraint processing, a crucial requirement for many real-world applications. However, the specification of constraints…

Artificial Intelligence · Computer Science 2026-05-26 Jorge Fandinno , Pedro Cabalar , Philipp Wanko , Torsten Schaub

Answer set programming (ASP) is an efficient problem-solving approach, which has been strongly supported both scientifically and technologically by several solvers, ongoing active research, and implementations in many different fields.…

Artificial Intelligence · Computer Science 2021-09-20 Ezgi Iraz Su

Answer set programming (ASP) is a form of declarative programming that allows to succinctly formulate and efficiently solve complex problems. An intuitive extension of this formalism is communicating ASP, in which multiple ASP programs…

Logic in Computer Science · Computer Science 2011-09-13 Kim Bauters , Jeroen Janssen , Steven Schockaert , Dirk Vermeir , Martine De Cock

Among the most general structures extending the framework by Dung are the abstract dialectical frameworks (ADFs). They come equipped with various types of semantics, with the most prominent - the labeling-based one - analyzed in the context…

Artificial Intelligence · Computer Science 2016-07-05 Sylwia Polberg

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 formalism for logic programming. Problem solving in ASP requires to write an ASP program whose answers sets correspond to solutions. Albeit the non-existence of answer sets for some ASP…

Logic in Computer Science · Computer Science 2020-02-19 Giovanni Amendola , Carmine Dodaro , Francesco Ricca

One of our long term research goals is to develop systems to answer realistic questions (e.g., some mentioned in textbooks) about biological pathways that a biologist may ask. To answer such questions we need formalisms that can model…

Artificial Intelligence · Computer Science 2013-06-25 Saadat Anwar , Chitta Baral , Katsumi Inoue

In this paper we introduce a Conditional Answer Set Programming framework (Conditional ASP) for the definition of conditional extensions of Answer Set Programming (ASP). The approach builds on a conditional logic with typicality, and on the…

Artificial Intelligence · Computer Science 2026-01-08 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

We provide a comprehensive elaboration of the theoretical foundations of variable instantiation, or grounding, in Answer Set Programming (ASP). Building on the semantics of ASP's modeling language, we introduce a formal characterization of…

Artificial Intelligence · Computer Science 2022-07-26 Roland Kaminski , Torsten Schaub

One of the most prominent tools for abstract argumentation is the Dung's framework, AF for short. It is accompanied by a variety of semantics including grounded, complete, preferred and stable. Although powerful, AFs have their…

Artificial Intelligence · Computer Science 2014-05-05 Sylwia Polberg

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

We introduce an implementation of an extension of Answer Set Programming (ASP) with language constructs from dynamic (and temporal) logic that provides an expressive computational framework for modeling dynamic applications. Starting from…

Artificial Intelligence · Computer Science 2020-02-20 Pedro Cabalar , Martín Diéguez , Torsten Schaub , François Laferrière