Title
Understanding adaptivity: random systems revisited
Abstract
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).
Year
DOI
Venue
2012
10.1007/978-3-642-34961-4_20
ASIACRYPT
Keywords
Field
DocType
comparison statement,certain event,correct proof,well-known comparison theorem,conceptual approach,certain hypothesis,random system analogue,random system,adaptive adversary,game-playing argument,understanding adaptivity
Conditional probability distribution,Computer science,Misrepresentation,Probabilistic analysis of algorithms,Random permutation,Hash function,Comparison theorem,Calculus
Conference
Volume
ISSN
Citations 
7658
0302-9743
129
PageRank 
References 
Authors
3.13
20
3
Search Limit
100129
Name
Order
Citations
PageRank
Dimitar Jetchev11607.64
Onur Özen22368.61
Martijn Stam3165967.36