Tech Reports

ULCS-12-005

When Are Two Arguments the Same? Invariance in Abstract Argumentation

Davide Grossi and Dov Gabbay

Abstract

In abstract argumentation arguments are just points in a graph of attacks: they do not hold premisses, conclusions or internal structure. So is there a meaningful way in which two arguments, belonging possibly to different attack graphs, can be said to be equivalent? The paper argues for a positive answer and, interfacing methods from modal logic, the theory of argument games and the equational approach to argumentation, puts forth and explores a formal theory of equivalence for abstract argumentation.

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