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Logic programming under the answer-set semantics nowadays deals with numerous different notions of program equivalence. This is due to the fact that equivalence for substitution (known as strong equivalence) and ordinary equivalence are…

Artificial Intelligence · Computer Science 2007-12-07 Stefan Woltran

The standard approach to logic in the literature in philosophy and mathematics, which has also been adopted in computer science, is to define a language (the syntax), an appropriate class of models together with an interpretation of…

Artificial Intelligence · Computer Science 2009-09-25 Joseph Y. Halpern

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

Recent progress in logic programming (e.g., the development of the Answer Set Programming paradigm) has made it possible to teach it to general undergraduate and even middle/high school students. Given the limited exposure of these students…

Artificial Intelligence · Computer Science 2018-09-25 Elias Marcopoulos , Yuanlin Zhang

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 one of the most praised frameworks for declarative programming in general and non-monotonic reasoning in particular. There has been many efforts to extend stable model semantics so that answer set programs can use…

Logic in Computer Science · Computer Science 2012-12-04 Shahab Tasharrofi

In this paper, we study an extension of the stable model semantics for disjunctive logic programs where each true atom in a model is associated with an algebraic expression (in terms of rule labels) that represents its justifications. As in…

Logic in Computer Science · Computer Science 2016-10-12 Pedro Cabalar , Jorge Fandinno

Argumentation is a very active research field of Artificial Intelligence concerned with the representation and evaluation of arguments used in dialogues between humans and/or artificial agents. Acceptability semantics of formal…

Artificial Intelligence · Computer Science 2025-03-05 Zlatina Mileva , Antonis Bikakis , Fabio Aurelio D'Asaro , Mark Law , Alessandra Russo

In real-world applications, knowledge bases consisting of all the information at hand for a specific domain, along with the current state of affairs, are bound to contain contradictory data coming from different sources, as well as data…

Logic in Computer Science · Computer Science 2014-01-08 Paulo Shakarian , Gerardo I. Simari , Marcelo A. Falappa

In recent years, deep learning has made tremendous progress in a number of fields that were previously out of reach for artificial intelligence. The successes in these problems has led researchers to consider the possibilities for…

Artificial Intelligence · Computer Science 2018-02-08 Neel Kant

The advance of Internet and Sensor technology has brought about new challenges evoked by the emergence of continuous data streams. Beyond rapid data processing, application areas like ambient assisted living, robotics, or dynamic scheduling…

Artificial Intelligence · Computer Science 2013-01-09 Martin Gebser , Torsten Grote , Roland Kaminski , Philipp Obermeier , Orkunt Sabuncu , Torsten Schaub

Programming with logic for sophisticated applications must deal with recursion and negation, which together have created significant challenges in logic, leading to many different, conflicting semantics of rules. This paper describes a…

Logic in Computer Science · Computer Science 2021-10-07 Yanhong A. Liu , Scott D. Stoller

Answer set programs in practice are often subject to change. This can lead to inconsistencies in the modified program due to conflicts between rules which are the results of the derivation of strongly complementary literals. To facilitate…

Logic in Computer Science · Computer Science 2023-08-31 Andre Thevapalan , Gabriele Kern-Isberner

A fundamental question in systems biology is the construction and training to data of mathematical models. Logic formalisms have become very popular to model signaling networks because their simplicity allows us to model large systems…

Quantitative Methods · Quantitative Biology 2012-12-27 Santiago Videla , Carito Guziolowski , Federica Eduati , Sven Thiele , Niels Grabe , Julio Saez-Rodriguez , Anne Siegel

The automatic generation of computer programs is one of the main applications with practical relevance in the field of evolutionary computation. With program synthesis techniques not only software developers could be supported in their…

Neural and Evolutionary Computing · Computer Science 2021-08-30 Dominik Sobania , Dirk Schweim , Franz Rothlauf

The study of belief change has been an active area in philosophy and AI. In recent years two special cases of belief change, belief revision and belief update, have been studied in detail. In a companion paper (Friedman & Halpern, 1997), we…

Artificial Intelligence · Computer Science 2007-05-23 N Friedman , J. Y. Halpern

Foundation models encompass an extensive knowledge base and offer remarkable transferability. However, this knowledge becomes outdated or insufficient over time. The challenge lies in continuously updating foundation models to accommodate…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Wenxuan Zhang , Paul Janson , Rahaf Aljundi , Mohamed Elhoseiny

Traditional inconsistency-tolerent query answering in ontology-based data access relies on selecting maximal components of an ABox/database which are consistent with the ontology. However, some rules in ontologies might be unreliable if…

Artificial Intelligence · Computer Science 2016-02-19 Hai Wan , Heng Zhang , Peng Xiao , Haoran Huang , Yan Zhang

We examine the practicality for a user of using Answer Set Programming (ASP) for representing logical formalisms. We choose as an example a formalism aiming at capturing causal explanations from causal information. We provide an…

Artificial Intelligence · Computer Science 2010-12-06 Yves Moinard

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
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