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Special Issue: Developments in Language Theory (DLT 2015)No Access

Consensus Game Acceptors and Iterated Transductions

    https://doi.org/10.1142/S0129054118400026Cited by:0 (Source: Crossref)

    We study a game for recognising formal languages, in which two players with imperfect information should coordinate on a common decision, given private input words correlated by a finite graph. The players have a common objective to avoid an inadmissible decision, in spite of the uncertainty induced by the input.

    We show that the acceptor model based on consensus games characterises context-sensitive languages. Further, we describe the expressiveness of these games in terms of iterated synchronous transductions and identify a subclass that characterises context-free languages.

    Communicated by Igor Potapov and Pavel Semukhin

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