Abstract: Interactive proofs, introduced by Goldwasser, Micali and Rackoff, have had a dramatic impact on Complexity Theory and Cryptography. In particular, the celebrated IP=PSPACE Theorem [LFKN92,Shamir92] allows an all-powerful but untrusted prover to convince a polynomial-time verifier of the validity of extremely complicated statements (as long as they can be evaluated using polynomial space). The interactive proof system designed for this purpose requires a large number of communication rounds and heavy computation for generating the proof.
We introduce new interactive proofs that are very efficient in the number of rounds and computation time, that are particularly well suited for delegating bounded-space computations (e.g., in the context of cloud computing).
Joint work with Guy Rothblum and Ron Rothblum