2015
DOI: 10.1016/j.artint.2014.11.008
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Methods for solving reasoning problems in abstract argumentation – A survey

Abstract: Within the last decade, abstract argumentation has emerged as a central field in Artificial Intelligence. Besides providing a core formalism for many advanced argumentation systems, abstract argumentation has also served to capture several non-monotonic logics and other AI related principles. Although the idea of abstract argumentation is appealingly simple, several reasoning problems in this formalism exhibit high computational complexity. This calls for advanced techniques when it comes to implementation iss… Show more

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Cited by 102 publications
(57 citation statements)
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References 106 publications
(197 reference statements)
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“…1 for an example of an argument graph with supporting and attacking arguments), and probabilities [43,72,74,82,92,135]. Furthermore, there has been the development of software solvers for determining extensions (see for example [33,137]), and the application of natural language processing techniques for constructing argument graphs from free text (see for example [93]). In addition, there are methods for argument dynamics to ensure that specific arguments hold in the extensions of the argument graph such as epistemic enforcement in abstract argumentation [9,10,38], revision of argument graphs [36,37], and belief revision in argumentation (e.g.…”
Section: Dialectical Levelmentioning
confidence: 99%
“…1 for an example of an argument graph with supporting and attacking arguments), and probabilities [43,72,74,82,92,135]. Furthermore, there has been the development of software solvers for determining extensions (see for example [33,137]), and the application of natural language processing techniques for constructing argument graphs from free text (see for example [93]). In addition, there are methods for argument dynamics to ensure that specific arguments hold in the extensions of the argument graph such as epistemic enforcement in abstract argumentation [9,10,38], revision of argument graphs [36,37], and belief revision in argumentation (e.g.…”
Section: Dialectical Levelmentioning
confidence: 99%
“…For instance, let us consider the following query for the AF in Example 1, Here, the 3rd variable of X, denoted by X [3], is previously specified by Boolean 1, and the remaining variables are kept unknown, represented by "_" in Prolog languages. The goal of this query is to find all possible complete extensions that contain argument x 3 .…”
Section: Advance Queryingmentioning
confidence: 99%
“…Based on these, various semantics have been established, such as grounded, complete, and stable (see [2] for an overview). However, finding extensions can be a complex procedure when done without any computational help, when the AF contains numerous arguments and attacks [3].…”
Section: Introductionmentioning
confidence: 99%
“…In order to understand whether abstract solvers are well suited also for this domain, we consider quite advanced algorithms for solving problems that are hard for the second level of the polynomial hierarchy -the considered algorithms range from dedicated [45] to reduction-based [13,25] approaches (see [19] for a survey). We show that abstract solvers allow for convenient algorithms design resulting in a clear and mathematically precise description.…”
Section: Introductionmentioning
confidence: 99%