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Probabilistic Anonymity

  • Mohit Bhargava
  • Catuscia Palamidessi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3653)

Abstract

The concept of anonymity comes into play in a wide range of situations, varying from voting and anonymous donations to postings on bulletin boards and sending mails. The systems for ensuring anonymity often use random mechanisms which can be described probabilistically, while the agents’ interest in performing the anonymous action may be totally unpredictable, irregular, and hence expressable only nondeterministically.

Formal definitions of the concept of anonymity have been investigated in the past either in a totally nondeterministic framework, or in a purely probabilistic one. In this paper, we investigate a notion of anonymity which combines both probability and nondeterminism, and which is suitable for describing the most general situation in which both the systems and the user can have both probabilistic and nondeterministic behavior. We also investigate the properties of the definition for the particular cases of purely nondeterministic users and purely probabilistic users.

We formulate our notions of anonymity in terms of observables for processes in the probabilistic π-calculus, whose semantics is based on Probabilistic Automata.

We illustrate our ideas by using the example of the dining cryptographers.

Keywords

Epistemic Logic Anonymous User Probabilistic User Nondeterministic Choice Probabilistic Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Mohit Bhargava
    • 1
  • Catuscia Palamidessi
    • 2
  1. 1.Indian Institute of Technology Delhi 
  2. 2.INRIA Futurs and LIX, École Polytechnique 

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