Modeling Computational Security in Long-Lived Systems

Authors Ran Canetti, Ling Cheung, Dilsun Kaynar, Nancy Lynch, Olivier Pereira



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Author Details

Ran Canetti
Ling Cheung
Dilsun Kaynar
Nancy Lynch
Olivier Pereira

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Ran Canetti, Ling Cheung, Dilsun Kaynar, Nancy Lynch, and Olivier Pereira. Modeling Computational Security in Long-Lived Systems. In Theoretical Foundations of Practical Information Security. Dagstuhl Seminar Proceedings, Volume 8491, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009) https://doi.org/10.4230/DagSemProc.08491.3

Abstract

For many cryptographic protocols, security relies on the assumption
that adversarial entities have limited computational power.  
This type of security degrades progressively over the lifetime of a protocol.
However, some cryptographic services, such as timestamping services or
digital archives, are emph{long-lived} in nature; they are expected to be
secure and operational for a very long time (ie super-polynomial).
In such cases, security cannot be guaranteed in the traditional sense:
a computationally secure protocol may become insecure if the attacker
has a super-polynomial number of interactions with the protocol. 

This paper proposes a new paradigm for the analysis of long-lived
security protocols.  
We allow entities to be active for a potentially unbounded amount of
real time, provided they perform only a polynomial amount of work emph{per
unit of real time}.  
Moreover, the space used by these entities is allocated dynamically and must be
polynomially bounded.  
We propose a new notion of emph{long-term implementation}, which is an
adaptation of computational indistinguishability to the long-lived
setting.  
We show that long-term implementation is preserved under polynomial parallel
composition and exponential sequential composition. 
We illustrate the use of this new paradigm by analyzing some security
properties of the long-lived timestamping protocol of Haber and Kamat.

Subject Classification

Keywords
  • Long lived security; universally composable security;

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