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This paper discusses the semantics of weighted argumentation graphs that are biplor, i.e. contain both attacks and support graphs. The work builds on previous work by Amgoud, Ben-Naim et. al., which presents and compares several semantics…

Artificial Intelligence · Computer Science 2016-12-26 Till Mossakowski , Fabian Neuhaus

Weighted bipolar argumentation frameworks offer a tool for decision support and social media analysis. Arguments are evaluated by an iterative procedure that takes initial weights and attack and support relations into account. Until…

Artificial Intelligence · Computer Science 2019-03-04 Nico Potyka

Argument graphs provide an abstract representation of an argumentative situation. A bipolar argument graph is a directed graph where each node denotes an argument, and each arc denotes the influence of one argument on another. Here we…

Artificial Intelligence · Computer Science 2023-08-09 Anthony Hunter

Weighted gradual semantics provide an acceptability degree to each argument representing the strength of the argument, computed based on factors including background evidence for the argument, and taking into account interactions between…

Artificial Intelligence · Computer Science 2024-08-21 Assaf Libman , Nir Oren , Bruno Yun

Formal argumentation is being used increasingly in artificial intelligence as an effective and understandable way to model potentially conflicting pieces of information, called arguments, and identify so-called acceptable arguments…

Artificial Intelligence · Computer Science 2026-03-09 Yann Munro , Isabelle Bloch , Marie-Jeanne Lesot

We contemplate a higher-level bipolar abstract argumentation for non-elementary arguments such as: X argues against Ys sincerity with the fact that Y has presented his argument to draw a conclusion C, by omitting other facts which would not…

Artificial Intelligence · Computer Science 2019-01-21 Ryuta Arisaka , Stefano Bistarelli , Francesco Santini

In many real-life situations that involve exchanges of arguments, individuals may differ on their assessment of which supports between the arguments are in fact justified, i.e., they put forward different support-relations. When confronted…

Artificial Intelligence · Computer Science 2021-06-23 Weiwei Chen

Gradual semantics with abstract argumentation provide each argument with a score reflecting its acceptability, i.e. how "much" it is attacked by other arguments. Many different gradual semantics have been proposed in the literature, each…

Artificial Intelligence · Computer Science 2022-02-02 Nir Oren , Bruno Yun , Srdjan Vesic , Murilo Baptista

Quantitative Bipolar Argumentation Frameworks (QBAFs) provide an alternative approach to computing argument acceptability in Bipolar Argumentation Frameworks (BAFs). Each argument is assigned an initial strength, which is then updated to a…

Artificial Intelligence · Computer Science 2026-05-05 Gianvincenzo Alfano , Sergio Greco , Lucio La Cava , Francesco Parisi , Irina Trubitsyna

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

Artificial Intelligence · Computer Science 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm

We obtain, for the first time, a modular many-valued semantics for combined logics, which is built directly from many-valued semantics for the logics being combined, by means of suitable universal operations over partial non-deterministic…

Logic · Mathematics 2024-05-22 Carlos Caleiro , Sérgio Marcelino

Weighted bipolar argumentation frameworks allow modeling decision problems and online discussions by defining arguments and their relationships. The strength of arguments can be computed based on an initial weight and the strength of…

Artificial Intelligence · Computer Science 2018-12-03 Nico Potyka

Gradual semantics (GS) have demonstrated great potential in argumentation, in particular for deploying quantitative bipolar argumentation frameworks (QBAFs) in a number of real-world settings, from judgmental forecasting to explainable AI.…

Artificial Intelligence · Computer Science 2025-08-12 Antonio Rago , Stylianos Loukas Vasileiou , Francesca Toni , Tran Cao Son , William Yeoh

We make three contributions. First, we formulate a discussion-graph semantics for first-order logic with equality, enabling reasoning about discussion and argumentation in AI more generally than before. This addresses the current lack of a…

Artificial Intelligence · Computer Science 2025-11-14 Ryuta Arisaka

Cycles of attacking arguments pose non-trivial issues in Dung style argumentation theory, apparent behavioural difference between odd and even length cycles being a notable one. While a few methods were proposed for treating them, to - in…

Artificial Intelligence · Computer Science 2018-02-06 Ryuta Arisaka , Jeremie Dauphin

In computational argumentation, gradual semantics are fine-grained alternatives to extension-based and labelling-based semantics . They ascribe a dialectical strength to (components of) arguments sanctioning their degree of acceptability.…

Artificial Intelligence · Computer Science 2025-08-04 Anna Rapberger , Fabrizio Russo , Antonio Rago , Francesca Toni

A gradual semantics takes a weighted argumentation framework as input and outputs a final acceptability degree for each argument, with different semantics performing the computation in different manners. In this work, we consider the…

Artificial Intelligence · Computer Science 2023-02-09 Nir Oren , Bruno Yun

The connections among natural language processing and argumentation theory are becoming stronger in the latest years, with a growing amount of works going in this direction, in different scenarios and applying heterogeneous techniques. In…

Artificial Intelligence · Computer Science 2014-05-06 Elena Cabrio , Serena Villata

We consider the problem of modularizing control flow in a generic abstract interpretation framework. A generic abstract interpretation framework is not truly flexible if it does not allow interpreting with different path- and…

Programming Languages · Computer Science 2026-02-19 Cade Lueker , Andrew Fox , Bor-Yuh Evan Chang

In Dung-style abstract argumentation, various semantics capture notions of acceptability of arguments. The admissibility semantics capture the notion that an argument can be consistently defended from any potential counterargument. Weak…

Artificial Intelligence · Computer Science 2026-05-05 Uri Andrews , Luca San Mauro , John Spoerl
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