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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Understanding Adaptivity: Random Systems Revisited
verfasst von : Dimitar Jetchev, Onur Özen, Martijn Stam
Erschienen in: Advances in Cryptology – ASIACRYPT 2012
Verlag: Springer Berlin Heidelberg
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We develop a conceptual approach for probabilistic analysis of adaptive adversaries via Maurer’s methodology of random systems (Eurocrypt’02). We first consider a well-known comparison theorem of Maurer according to which, under certain hypotheses, adaptivity does not help for achieving a certain event. This theorem has subsequently been misinterpreted, leading to a misrepresentation with one of Maurer’s hypotheses being omitted in various applications. In particular, the only proof of (a misrepresentation of) the theorem available in the literature contained a flaw. We clarify the theorem by pointing out a simple example illustrating why the hypothesis of Maurer is necessary for the comparison statement to hold and provide a correct proof. Furthermore, we prove several technical statements applicable in more general settings where adaptivity might be helpful, which can be seen as the random system analogue of the game-playing arguments recently proved by Jetchev, Özen and Stam (TCC’12).