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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

Answer set programming is a prominent declarative programming paradigm used in formulating combinatorial search problems and implementing different knowledge representation formalisms. Frequently, several related and yet substantially…

Artificial Intelligence · Computer Science 2023-03-01 Yuliya Lierler

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

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

We describe an approach for compiling preferences into logic programs under the answer set semantics. An ordered logic program is an extended logic program in which rules are named by unique terms, and in which preferences among rules are…

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

Answer Set Programming (ASP) is a well-known problem solving approach based on nonmonotonic logic programs. HEX-programs extend ASP with external atoms for accessing arbitrary external information, which can introduce values that do not…

Artificial Intelligence · Computer Science 2018-06-04 Christoph Redl

We propose an end-to-end approach for Answer Set Programming (ASP) and linear algebraically compute stable models satisfying given constraints. The idea is to implement Lin-Zhao's theorem together with constraints directly in vector spaces…

Artificial Intelligence · Computer Science 2025-10-03 Taisuke Sato , Akihiro Takemura , Katsumi Inoue

Answer set programming (ASP) is a popular declarative programming paradigm with a wide range of applications in artificial intelligence. Oftentimes, when modeling an AI problem with ASP, and in particular when we are interested beyond…

Artificial Intelligence · Computer Science 2021-12-15 Johannes K. Fichte , Sarah Alice Gaggl , Dominik Rusovac

We extend answer set semantics to deal with inconsistent programs (containing classical negation), by finding a ``best'' answer set. Within the context of inconsistent programs, it is natural to have a partial order on rules, representing a…

Logic in Computer Science · Computer Science 2007-05-23 Davy Van Nieuwenborgh , Dirk Vermeir

Answer-Set Programming (ASP) is an established declarative programming paradigm. However, classical ASP lacks subprogram calls as in procedural programming, and access to external computations (like remote procedure calls) in general. The…

Artificial Intelligence · Computer Science 2011-09-01 Thomas Eiter , Thomas Krennwallner , Christoph Redl

As a programming paradigm, answer set programming (ASP) brings about the usual issue of the human error. Hence, it is desirable to provide automated techniques that could help the programmer to find the error. This paper addresses the…

Logic in Computer Science · Computer Science 2014-07-01 Mikoláš Janota , Joao Marques-Silva

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

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

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

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

In answer set programming (ASP), answer sets capture solutions to search problems of interest and thus the efficient computation of answer sets is of utmost importance. One viable implementation strategy is provided by translation-based ASP…

Logic in Computer Science · Computer Science 2023-08-31 Tomi Janhunen

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

Dung's famous abstract argumentation frameworks represent the core formalism for many problems and applications in the field of argumentation which significantly evolved within the last decade. Recent work in the field has thus focused on…

Artificial Intelligence · Computer Science 2016-04-20 Wolfgang Dvořák , Sarah Alice Gaggl , Johannes Wallner , Stefan Woltran

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

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
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