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1

Kowalski, Robert A., and Francesca Toni. "Abstract argumentation." Artificial Intelligence and Law 4, no. 3-4 (1996): 275–96. http://dx.doi.org/10.1007/bf00118494.

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2

Vreeswijk, Gerard A. W. "Abstract argumentation systems." Artificial Intelligence 90, no. 1-2 (1997): 225–79. http://dx.doi.org/10.1016/s0004-3702(96)00041-0.

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3

Kampik, Timotheus, and Juan Carlos Nieves. "Abstract argumentation and the rational man." Journal of Logic and Computation 31, no. 2 (2021): 654–99. http://dx.doi.org/10.1093/logcom/exab003.

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Abstract Abstract argumentation has emerged as a method for non-monotonic reasoning that has gained popularity in the symbolic artificial intelligence community. In the literature, the different approaches to abstract argumentation that were refined over the years are typically evaluated from a formal logics perspective; an analysis that is based on models of economically rational decision-making does not exist. In this paper, we work towards addressing this issue by analysing abstract argumentation from the perspective of the rational man paradigm in microeconomic theory. To assess under whic
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4

Baroni, P., M. Giacomin, and G. Guida. "Extending abstract argumentation systems theory." Artificial Intelligence 120, no. 2 (2000): 251–70. http://dx.doi.org/10.1016/s0004-3702(00)00030-8.

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5

Hundleby, Catherine. "Aggression, Politeness, and Abstract Adversaries." Informal Logic 33, no. 2 (2013): 238. http://dx.doi.org/10.22329/il.v33i2.3895.

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Trudy Govier argues in The Philosophy of Argument that adversariality in argumentation can be kept to a necessary minimum. On her ac-count, politeness can limit the ancillary adversariality of hostile culture but a degree of logical opposition will remain part of argumentation, and perhaps all reasoning. Argumentation cannot be purified by politeness in the way she hopes, nor does reasoning even in the discursive context of argumentation demand opposition. Such hopes assume an idealized politeness free from gender, and reasoners with inhuman or at least highly privileged capabilities and no ne
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6

van Gijzel, Bas, and Henry Prakken. "Relating Carneades with abstract argumentation via the ASPIC+framework for structured argumentation." Argument & Computation 3, no. 1 (2012): 21–47. http://dx.doi.org/10.1080/19462166.2012.661766.

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7

Villata, Serena, Guido Boella, Dov M. Gabbay, Leendert van der Torre, and Joris Hulstijn. "A logic of argumentation for specification and verification of abstract argumentation frameworks." Annals of Mathematics and Artificial Intelligence 66, no. 1-4 (2012): 199–230. http://dx.doi.org/10.1007/s10472-012-9318-6.

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8

Hunter, Anthony, and Matthias Thimm. "Probabilistic Reasoning with Abstract Argumentation Frameworks." Journal of Artificial Intelligence Research 59 (August 19, 2017): 565–611. http://dx.doi.org/10.1613/jair.5393.

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Abstract argumentation offers an appealing way of representing and evaluating arguments and counterarguments. This approach can be enhanced by considering probability assignments on arguments, allowing for a quantitative treatment of formal argumentation. In this paper, we regard the assignment as denoting the degree of belief that an agent has in an argument being acceptable. While there are various interpretations of this, an example is how it could be applied to a deductive argument. Here, the degree of belief that an agent has in an argument being acceptable is a combination of the degree
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9

Brochenin, Remi, Thomas Linsbichler, Marco Maratea, Johannes P. Wallner, and Stefan Woltran. "Abstract solvers for Dung’s argumentation frameworks." Argument & Computation 9, no. 1 (2018): 41–72. http://dx.doi.org/10.3233/aac-170031.

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10

Budán, Paola Daniela, Melisa Gisselle Escañuela Gonzalez, Maximiliano Celmo David Budán, Maria Vanina Martinez, and Guillermo Ricardo Simari. "Similarity notions in bipolar abstract argumentation." Argument & Computation 11, no. 1-2 (2020): 103–49. http://dx.doi.org/10.3233/aac-190479.

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11

Mailly, Jean-Guy, and Marco Maratea. "Assessment of benchmarks for abstract argumentation." Argument & Computation 10, no. 2 (2019): 107–12. http://dx.doi.org/10.3233/aac-192101.

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12

Kakas, A. C., and P. Mancarella. "On the semantics of abstract argumentation." Journal of Logic and Computation 23, no. 5 (2013): 991–1015. http://dx.doi.org/10.1093/logcom/exs068.

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13

Amgoud, Leila, and Philippe Besnard. "Logical limits of abstract argumentation frameworks." Journal of Applied Non-Classical Logics 23, no. 3 (2013): 229–67. http://dx.doi.org/10.1080/11663081.2013.830381.

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14

Xu, Yuming, and Claudette Cayrol. "Initial sets in abstract argumentation frameworks." Journal of Applied Non-Classical Logics 28, no. 2-3 (2018): 260–79. http://dx.doi.org/10.1080/11663081.2018.1457252.

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15

Caminada, Martin, and Gabriella Pigozzi. "On judgment aggregation in abstract argumentation." Autonomous Agents and Multi-Agent Systems 22, no. 1 (2009): 64–102. http://dx.doi.org/10.1007/s10458-009-9116-7.

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16

Dvořák, Wolfgang, Sebastian Ordyniak, and Stefan Szeider. "Augmenting tractable fragments of abstract argumentation." Artificial Intelligence 186 (July 2012): 157–73. http://dx.doi.org/10.1016/j.artint.2012.03.002.

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17

Pührer, Jörg. "ArgueApply: Abstract Argumentation at Your Fingertips." KI - Künstliche Intelligenz 32, no. 2-3 (2018): 209–12. http://dx.doi.org/10.1007/s13218-018-0532-1.

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18

Wallner, Johannes P., Andreas Niskanen, and Matti Järvisalo. "Complexity Results and Algorithms for Extension Enforcement in Abstract Argumentation." Journal of Artificial Intelligence Research 60 (September 13, 2017): 1–40. http://dx.doi.org/10.1613/jair.5415.

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Argumentation is an active area of modern artificial intelligence (AI) research, with connections to a range of fields, from computational complexity theory and knowledge representation and reasoning to philosophy and social sciences, as well as application-oriented work in domains such as legal reasoning, multi-agent systems, and decision support. Argumentation frameworks (AFs) of abstract argumentation have become the graph-based formal model of choice for many approaches to argumentation in AI, with semantics defining sets of jointly acceptable arguments, i.e., extensions. Understanding the
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19

GAGGL, SARAH A., NORBERT MANTHEY, ALESSANDRO RONCA, JOHANNES P. WALLNER, and STEFAN WOLTRAN. "Improved answer-set programming encodings for abstract argumentation." Theory and Practice of Logic Programming 15, no. 4-5 (2015): 434–48. http://dx.doi.org/10.1017/s1471068415000149.

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AbstractThe design of efficient solutions for abstract argumentation problems is a crucial step towards advanced argumentation systems. One of the most prominent approaches in the literature is to use Answer-Set Programming (ASP) for this endeavor. In this paper, we present new encodings for three prominent argumentation semantics using the concept of conditional literals in disjunctions as provided by the ASP-system clingo. Our new encodings are not only more succinct than previous versions, but also outperform them on standard benchmarks.
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20

Fichte, Johannes K., Markus Hecher, and Arne Meier. "Counting Complexity for Reasoning in Abstract Argumentation." Proceedings of the AAAI Conference on Artificial Intelligence 33 (July 17, 2019): 2827–34. http://dx.doi.org/10.1609/aaai.v33i01.33012827.

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In this paper, we consider counting and projected model counting of extensions in abstract argumentation for various semantics. When asking for projected counts we are interested in counting the number of extensions of a given argumentation framework while multiple extensions that are identical when restricted to the projected arguments count as only one projected extension. We establish classical complexity results and parameterized complexity results when the problems are parameterized by treewidth of the undirected argumentation graph. To obtain upper bounds for counting projected extension
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21

Chen, Weiwei, and Ulle Endriss. "Preservation of semantic properties in collective argumentation: The case of aggregating abstract argumentation frameworks." Artificial Intelligence 269 (April 2019): 27–48. http://dx.doi.org/10.1016/j.artint.2018.10.003.

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22

Bistarelli, Stefano, and Francesco Santini. "Abstract argumentation and (optimal) stable marriage problems." Argument & Computation 11, no. 1-2 (2020): 15–40. http://dx.doi.org/10.3233/aac-190474.

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23

Budán, Maximiliano C. D., Maria Laura Cobo, Diego C. Martinez, and Guillermo R. Simari. "Proximity semantics for topic-based abstract argumentation." Information Sciences 508 (January 2020): 135–53. http://dx.doi.org/10.1016/j.ins.2019.08.037.

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24

Dvořák, Wolfgang, Matti Järvisalo, Johannes Peter Wallner, and Stefan Woltran. "Complexity-sensitive decision procedures for abstract argumentation." Artificial Intelligence 206 (January 2014): 53–78. http://dx.doi.org/10.1016/j.artint.2013.10.001.

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25

Dunne, Paul E., Wolfgang Dvořák, Thomas Linsbichler, and Stefan Woltran. "Characteristics of multiple viewpoints in abstract argumentation." Artificial Intelligence 228 (November 2015): 153–78. http://dx.doi.org/10.1016/j.artint.2015.07.006.

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26

Hunter, Anthony. "Probabilistic qualification of attack in abstract argumentation." International Journal of Approximate Reasoning 55, no. 2 (2014): 607–38. http://dx.doi.org/10.1016/j.ijar.2013.09.002.

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27

Schulz, Claudia, and Francesca Toni. "Labellings for assumption-based and abstract argumentation." International Journal of Approximate Reasoning 84 (May 2017): 110–49. http://dx.doi.org/10.1016/j.ijar.2017.02.005.

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28

Gabbay, D. M. "Theory of Semi-Instantiation in Abstract Argumentation." Logica Universalis 10, no. 4 (2015): 431–516. http://dx.doi.org/10.1007/s11787-015-0133-9.

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29

Dvořák, Wolfgang, and Stefan Woltran. "Complexity of Abstract Argumentation under a Claim-Centric View." Proceedings of the AAAI Conference on Artificial Intelligence 33 (July 17, 2019): 2801–8. http://dx.doi.org/10.1609/aaai.v33i01.33012801.

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Abstract argumentation frameworks have been introduced by Dung as part of an argumentation process, where arguments and conflicts are derived from a given knowledge base. It is solely this relation between arguments that is then used in order to identify acceptable sets of arguments. A final step concerns the acceptance status of particular statements by reviewing the actual contents of the acceptable arguments. Complexity analysis of abstract argumentation so far has neglected this final step and is concerned with argument names instead of their contents, i.e. their claims. As we outline in t
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30

Cerutti, Federico, Mauro Vallati, and Massimiliano Giacomin. "An Efficient Java-Based Solver for Abstract Argumentation Frameworks: jArgSemSAT." International Journal on Artificial Intelligence Tools 26, no. 02 (2017): 1750002. http://dx.doi.org/10.1142/s0218213017500026.

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Dung’s argumentation frameworks are adopted in a variety of applications, from argument-mining, to intelligence analysis and legal reasoning. Despite this broad spectrum of already existing applications, the mostly adopted solver—in virtue of its simplicity—is far from being comparable to the current state-of-the-art solvers. On the other hand, most of the current state-of-the-art solvers are far too complicated to be deployed in real-world settings. In this paper we provide and extensive description of jArgSemSAT, a Java re-implementation of ArgSemSAT. ArgSemSAT represents the best single sol
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31

Cayrol, C., F. Dupin de Saint-Cyr, and M. Lagasquie-Schiex. "Change in Abstract Argumentation Frameworks: Adding an Argument." Journal of Artificial Intelligence Research 38 (May 21, 2010): 49–84. http://dx.doi.org/10.1613/jair.2965.

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In this paper, we address the problem of change in an abstract argumentation system. We focus on a particular change: the addition of a new argument which interacts with previous arguments. We study the impact of such an addition on the outcome of the argumentation system, more particularly on the set of its extensions. Several properties for this change operation are defined by comparing the new set of extensions to the initial one, these properties are called structural when the comparisons are based on set-cardinality or set-inclusion relations. Several other properties are proposed where c
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32

Baumann, Ringo, and Gerhard Brewka. "Extension Removal in Abstract Argumentation – An Axiomatic Approach." Proceedings of the AAAI Conference on Artificial Intelligence 33 (July 17, 2019): 2670–77. http://dx.doi.org/10.1609/aaai.v33i01.33012670.

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This paper continues the rather recent line of research on the dynamics of non-monotonic formalisms. In particular, we consider semantic changes in Dung’s abstract argumentation formalism. One of the most studied problems in this context is the so-called enforcing problem which is concerned with manipulating argumentation frameworks (AFs) such that a certain desired set of arguments becomes an extension. Here we study the inverse problem, namely the extension removal problem: is it possible – and if so how – to modify a given argumentation framework in such a way that certain undesired extensi
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33

Maher, Michael J. "Relating Concrete Defeasible Reasoning Formalisms and Abstract Argumentation." Fundamenta Informaticae 155, no. 3 (2017): 233–60. http://dx.doi.org/10.3233/fi-2017-1584.

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34

Riveret, Régis, Dimitrios Korkinof, Moez Draief, and Jeremy Pitt. "Probabilistic abstract argumentation: An investigation with Boltzmann machines." Argument & Computation 8, no. 1 (2017): 89. http://dx.doi.org/10.3233/aac-170016.

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35

Wallner, Johannes P. "Structural constraints for dynamic operators in abstract argumentation." Argument & Computation 11, no. 1-2 (2020): 151–90. http://dx.doi.org/10.3233/aac-190471.

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36

Bondarenko, A., P. M. Dung, R. A. Kowalski, and F. Toni. "An abstract, argumentation-theoretic approach to default reasoning." Artificial Intelligence 93, no. 1-2 (1997): 63–101. http://dx.doi.org/10.1016/s0004-3702(97)00015-5.

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37

Fazzinga, Bettina, Sergio Flesca, and Francesco Parisi. "On the Complexity of Probabilistic Abstract Argumentation Frameworks." ACM Transactions on Computational Logic 16, no. 3 (2015): 1–39. http://dx.doi.org/10.1145/2749463.

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38

Prakken, Henry. "An abstract framework for argumentation with structured arguments." Argument & Computation 1, no. 2 (2010): 93–124. http://dx.doi.org/10.1080/19462160903564592.

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39

Riveret, Régis, Dimitrios Korkinof, Moez Draief, and Jeremy Pitt. "Probabilistic abstract argumentation: an investigation with Boltzmann machines." Argument & Computation 6, no. 2 (2015): 178–218. http://dx.doi.org/10.1080/19462166.2015.1107134.

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40

Šešelja, Dunja, and Christian Straßer. "Abstract argumentation and explanation applied to scientific debates." Synthese 190, no. 12 (2011): 2195–217. http://dx.doi.org/10.1007/s11229-011-9964-y.

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41

Dvořák, Wolfgang, Reinhard Pichler, and Stefan Woltran. "Towards fixed-parameter tractable algorithms for abstract argumentation." Artificial Intelligence 186 (July 2012): 1–37. http://dx.doi.org/10.1016/j.artint.2012.03.005.

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42

Baumann, Ringo, Wolfgang Dvořák, Thomas Linsbichler, and Stefan Woltran. "A general notion of equivalence for abstract argumentation." Artificial Intelligence 275 (October 2019): 379–410. http://dx.doi.org/10.1016/j.artint.2019.06.006.

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43

Nofal, Samer, Katie Atkinson, and Paul E. Dunne. "Looking-ahead in backtracking algorithms for abstract argumentation." International Journal of Approximate Reasoning 78 (November 2016): 265–82. http://dx.doi.org/10.1016/j.ijar.2016.07.013.

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44

Li, Nan. "A paradox of expert rights in abstract argumentation." Social Choice and Welfare 51, no. 4 (2018): 737–52. http://dx.doi.org/10.1007/s00355-018-1136-2.

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45

Arieli, Ofer, and Martin W. A. Caminada. "A QBF-based formalization of abstract argumentation semantics." Journal of Applied Logic 11, no. 2 (2013): 229–52. http://dx.doi.org/10.1016/j.jal.2013.03.009.

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46

Mantadelis, Theofrastos, and Stefano Bistarelli. "Probabilistic abstract argumentation frameworks, a possible world view." International Journal of Approximate Reasoning 119 (April 2020): 204–19. http://dx.doi.org/10.1016/j.ijar.2019.12.006.

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47

Airiau, Stéphane, Elise Bonzon, Ulle Endriss, Nicolas Maudet, and Julien Rossit. "Rationalisation of Profiles of Abstract Argumentation Frameworks: Characterisation and Complexity." Journal of Artificial Intelligence Research 60 (September 22, 2017): 149–77. http://dx.doi.org/10.1613/jair.5436.

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Different agents may have different points of view. Following a popular approach in the artificial intelligence literature, this can be modeled by means of different abstract argumentation frameworks, each consisting of a set of arguments the agent is contemplating and a binary attack-relation between them. A question arising in this context is whether the diversity of views observed in such a profile of argumentation frameworks is consistent with the assumption that every individual argumentation framework is induced by a combination of, first, some basic factual attack-relation between the a
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48

Ruch, Patrick, Celia Boyer, Christine Chichester, et al. "Using argumentation to extract key sentences from biomedical abstracts." International Journal of Medical Informatics 76, no. 2-3 (2007): 195–200. http://dx.doi.org/10.1016/j.ijmedinf.2006.05.002.

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49

Vogiatzi, Melpomeni. "Aristotle on the Soul as Harmony." Elenchos 41, no. 2 (2020): 245–68. http://dx.doi.org/10.1515/elen-2020-0014.

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AbstractA topic common to both Plato’s and Aristotle’s discussions of theories of the soul is the doctrine of the soul as a harmony of the parts of the body. Plato’s Phaedo as well as Aristotle’s De anima and Eudemus present this theory and argue against the identification of the soul as a harmony. This paper has two focuses, one philosophical and one historical. First, I will focus on the argumentation used by Aristotle in his dialogue Eudemus, which is often associated with Aristotle’s early attachment to Plato. On the basis of the argumentation against the harmonia theory, I will try to sho
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50

Doutre, Sylvie, and Jean-Guy Mailly. "Constraints and changes: A survey of abstract argumentation dynamics." Argument & Computation 9, no. 3 (2018): 223–48. http://dx.doi.org/10.3233/aac-180425.

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