From qualitative to quantitative proofs of security properties using first-order conditional logic

  • Authors:
  • Joseph Y. Halpern

  • Affiliations:
  • Cornell University, Dept. of Computer Science, Ithaca, NY

  • Venue:
  • AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
  • Year:
  • 2008

Quantified Score

Hi-index 0.01

Visualization

Abstract

A first-order conditional logic is considered, with semantics given by a variant of Ε-semantics (Adams 1975; Goldszmidt & Pearl 1992), where Φ→ψ means that Pr(ψ | Φ) approaches 1 super-polynomially-faster than any inverse polynomial. This type of convergence is needed for reasoning about security protocols. A complete axiomatization is provided for this semantics, and it is shown how a qualitative proof of the correctness of a security protocol can be automatically converted to a quantitative proof appropriate for reasoning about concrete security.