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Weighted bipolar argumentation frameworks allow modeling decision problemsand online discussions by defining arguments and their relationships. Thestrength of arguments can be computed based on an initial weight and thestrength of attacking and supporting arguments. While previous approachesassumed an acyclic argumentation graph and successively set arguments' strengthbased on the strength of their parents, recently continuous dynamical systemshave been proposed as an alternative. Continuous models update arguments'strength simultaneously and continuously. While there are currently noanalytical guarantees for convergence in general graphs, experiments show thatcontinuous models can converge quickly in large cyclic graphs with thousands ofarguments. Here, we focus on the high-level ideas of this approach and explainkey results and applications. We also introduce Attractor, a Java library thatcan be used to solve weighted bipolar argumentation problems. Attractorcontains implementations of several discrete and continuous models andnumerical algorithms to compute solutions. It also provides base classes thatcan be used to implement, to evaluate and to compare continuous models easily.

A Tutorial for Weighted Bipolar Argumentation with Continuous Dynamical Systems and the Java Library Attractor