Cleanness Predicates Clause Samples

Cleanness Predicates. A A A N N N N A N A id id s id id N N N 6.1 Security and Privacy Analysis Before we begin, we show that an adversary A is unable to recover the hub node secret kHN (with non-negligible proba- bility) even if reveals all long-term secrets idN of all nodes and all per-stage secret states psstate. In our proofs we work within the random oracle model, and A cannot learn any- thing about kHN from hash outputs h(kHN , X ) (where X is h(kHN , k+) If this is the first stage of the protocol execution for node Nid , then aN and bN are established in some out-of-band way. Thus h(kHN , kN ) and kN act as uniformly random and independent keys in a one-time pad, perfectly hiding idN and kHN ⊕ idN ⊕ h(kHN , kN ) (for aN and bN respectively). Since, by the previous argument, the best strategy for A to recover kHN is simply to guess, (and we instantiate the hash function with a random oracle), in order to recompute h(kHN , kN ) A must either guess kHN or to guess h(kHN , kN ). Since they are Exp (λ ): ▇▇▇▇-▇▇▇,▇▇▇▇▇ ▇,▇▇ ,▇▇,▇ Corrupt(id): 1:
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