Optimal Status Enforcement in Abstract Argumentation / 1216
Andreas Niskanen, Johannes P. Wallner, Matti Järvisalo

We present complexity results and algorithms for optimal status enforcement in abstract argumentation. Status enforcement is the task of adjusting a given argumentation framework (AF) to support given positive and negative argument statuses, i.e., to accept and reject specific arguments. We study optimal status enforcement as the problem of finding a structurally closest AF supporting given argument statuses. We establish complexity results for optimal status enforcement under several central AF semantics, develop constraint-based algorithms for NP and second-level complete variants of the problem, and empirically evaluate the procedures.

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