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By Douglas Walton (auth.), Peter McBurney, Iyad Rahwan, Simon Parsons, Nicolas Maudet (eds.)

This ebook constitutes the completely refereed complaints of the sixth foreign Workshop on Argumentation in Multi-Agent platforms, held in Budapest, Hungary, in may well 2009, in organization with the eighth foreign convention on self sustaining brokers and Multi-Agent structures (AAMAS 2009). The 18 revised complete papers have been rigorously reviewed and chosen from quite a few submissions and are prepared in 4 topical sections on functional reasoning and argument approximately motion; persuasion and negotiation; argumentation thought; and purposes and feelings.

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Additional info for Argumentation in Multi-Agent Systems: 6th International Workshop, ArgMAS 2009, Budapest, Hungary, May 12, 2009. Revised Selected and Invited Papers

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Xn , do(a, s)) ≡ ΦF (x1 , x2 , . . , xn , a, s)} F (x1 , x2 , . . , xn , do(a, s)) ≡ ΦF (x1 , x2 , . . , xn , a, s)) ◦ Argument for functional fluents: {f (x1 , x2 , . . , xn , do(a, s)) = y ≡ Φf (x1 , x2 , . . , xn , y, a, s)} f (x1 , x2 , . . , xn , do(a, s)) = y ≡ Φf (x1 , x2 , . . , xn , a, s) Invalid Action Precondition axiom arguments can attack statements regarding the preconditions of planning operators. Invalid Action Precondition axiom (IAP ) ◦ Preconditions: - Poss(A, s) ≡ ΠA (x1 , x2 .

Constants begin with an upper-case letter. 26 A. Belesiotis, M. Rovatsos, and I. Rahwan Each Successor State axiom (Ass ) describes the conditions that should hold in situation s so that a relational or functional fluent takes a certain value in the situation do(a, s), which follows from the application of action a in s. , xn , s) A plan in the situation calculus is treated as an executable situation that satisfies a goal statement. Definition 1. do(a, s∗ ) sπ ⊃ Poss(a, s∗ ). Definition 2. A planning problem P is a tuple D, G , where D is a basic action theory denoting the planning domain and G is a fluent sentence specifying the goal.

Proof. The PLD dispute is formed by a sequence of arguments, initiated by P . A PLD sequence is terminated either if a Domain Level Dispute (DLD) argument is raised or if one of the agents is unable to perform a counter move (resulting in either retraction, backup, or dialogue termination). We will show that if the plan is not acceptable with respect to the opponent’s beliefs, then a finite sequence of COUNTER moves will be made, until a DLD argument is raised, terminating the PLD. The intuition guiding this proof is that until the dispute focuses on domain beliefs, agents can always perform a valid COUNTER move, which is supported by statements regarding a situation closer to S0 .

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