2012 | OriginalPaper | Buchkapitel
Decidability Classes for Mobile Agents Computing
verfasst von : Pierre Fraigniaud, Andrzej Pelc
Erschienen in: LATIN 2012: Theoretical Informatics
Verlag: Springer Berlin Heidelberg
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We establish a classification of decision problems that are to be solved by mobile agents operating in unlabeled graphs, using a deterministic protocol. The classification is with respect to the ability of a team of agents to solve the problem, possibly with the aid of additional information. In particular, our focus is on studying differences between the
decidability
of a decision problem by agents and its
verifiability
when a
certificate
for a positive answer is provided to the agents. Our main result shows that there exists a natural complete problem for mobile agent verification. We also show that, for a single agent, three natural oracles yield a strictly increasing chain of relative decidability classes.