Title
Reasoning about probabilistic security using task-PIOAs
Abstract
Task-structured probabilistic input/output automata (Task-PIOAs) are concurrent probabilistic automata that, among other things, have been used to provide a formal framework for the universal composability paradigms of protocol security. One of their advantages is that that they allow one to distinguish high-level nondeterminism that can affect the outcome of the protocol, from low-level choices, which can't. We present an alternative approach to analyzing the structure of Task-PIOAs that relies on ordered sets. We focus on two of the components that are required to define and apply Task-PIOAs: discrete probability theory and automata theory. We believe our development gives insight into the structure of Task-PIOAs and how they can be utilized to model crypto-protocols. We illustrate our approach with an example from anonymity, an area that has not previously been addressed using Task-PIOAs. We model Chaum's Dining Cryptographers Protocol at a level that does not require cryptographic primitives in the analysis. We show via this example how our approach can leverage a proof of security in the case a principal behaves deterministically to prove security when that principal behaves probabilistically.
Year
DOI
Venue
2010
10.1007/978-3-642-16074-5_2
ARSPA-WITS
Keywords
Field
DocType
cryptographic primitive,protocol security,automata theory,model crypto-protocols,concurrent probabilistic automaton,probabilistic security,discrete probability theory,alternative approach,task-structured probabilistic input,formal framework,dining cryptographers protocol,cryptographic protocol,probability theory,input output,probabilistic automata
Dining cryptographers problem,Automata theory,Automaton,Theoretical computer science,Cryptographic primitive,Probabilistic logic,Probabilistic automaton,Mathematics,Oblivious transfer,Universal composability
Conference
Volume
ISSN
ISBN
6186
0302-9743
3-642-16073-5
Citations 
PageRank 
References 
1
0.36
17
Authors
4
Name
Order
Citations
PageRank
Aaron D. Jaggard131222.55
Catherine Meadows292889.05
Michael Mislove3968.78
Roberto Segala41909116.71