Round and Communication Balanced Protocols for Oblivious Evaluation of Finite State Machines

03/20/2021
by   Rafael Dowsley, et al.
0

We propose protocols for obliviously evaluating finite-state machines, i.e., the evaluation is shared between the provider of the finite-state machine and the provider of the input string in such a manner that neither party learns the other's input, and the states being visited are hidden from both. For alphabet size |Σ|, number of states |Q|, and input length n, previous solutions have either required a number of rounds linear in n or communication Ω(n|Σ||Q|log|Q|). Our solutions require 2 rounds with communication O(n(|Σ|+|Q|log|Q|)). We present two different solutions to this problem, a two-party one and a setting with an untrusted but non-colluding helper.

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