Intelligence Semantics

Computational Models of Argument: Proceedings of COMMA 2008 by Philippe Besnard, Sylvie Doutre, Anthony Hunter

By Philippe Besnard, Sylvie Doutre, Anthony Hunter

This quantity of Computational versions of Argument specializes in the purpose to increase software program instruments to help clients in developing and comparing arguments and counterarguments and/or to boost automatic structures for developing and comparing arguments and counterarguments. a few articles offer a useful image of the prime learn questions within the quarter of computational types of argument, others draw at the wealth of study at the philosophical questions surrounding the notions bobbing up in argumentation, or deal with wisdom illustration and reasoning matters rising from modeling argumentation. additionally they contemplate acceptable types of wider rhetorical matters coming up in argumentation and suggest and review algorithmic strategies linked to producing and judging constellations of arguments. integrated are articles providing criteria for replacing details linked to argumentation in order that various structures can interact. moreover, a few articles document functional operating instruments for computational argumentation.

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SCC-recursiveness is related to the graph-theoretical notion of strongly connected components (SCCs) of AF, namely the equivalence classes of nodes under the relation of mutual reachability, denoted as SCCSAF . Due to space limitations, we can not examine in detail the definition of CF 2 semantics: the interested reader may refer to [4] and [5].

Amgoud and F. Dupin De Saint Cyr / Measures for Persuasion Dialogs 21 Now that we know which formulas are owned by each agent, we can compute the degree of loan for each participating agent. It may be tactically useful to turn an agents’ arguments against him since they should be immune from challenge. This loan degree can thus help for evaluating the strategical behavior of an agent. Definition 16 (Measure of loan) Let D = m0 , . . , mn be a persuasion dialog, and ai , aj ∈ Ag. The loan degree of agent ai from agent aj in D is: Loan(ai , aj , D) = |Formulas(Args(Dai )) ∩ OwnF(D, aj )| |Formulas(Args(Dai ))| The third criterion concerns the coherence of an agent.

26 P. Baroni and M. Giacomin / Resolution-Based Argumentation Semantics 1. Background Concepts and Notation The present work lies in the frame of the general theory of abstract argumentation frameworks proposed by Dung [4]. Definition 1 An argumentation framework is a pair AF = A, → , where A is a set, and →⊆ (A × A) is a binary relation on A, called attack relation. In the following we will always assume that A is finite. The arguments attacking a given argument α are called defeaters (or parents) of α and form a set which is denoted as parAF (α).

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