Interactive distributed proofs

G Kol, R Oshman, RR Saxena - … of the 2018 ACM Symposium on …, 2018 - dl.acm.org
Interactive proof systems allow a resource-bounded verifier to decide an intractable
language (or compute a hard function) by communicating with a powerful but untrusted …

Rectangles are nonnegative juntas

M Goos, S Lovett, R Meka, T Watson… - SIAM Journal on …, 2016 - SIAM
We develop a new method to prove communication lower bounds for composed functions of
the form f∘g^n, where f is any boolean function on n inputs and g is a sufficiently “hard” two …

Non-interactive proofs of proximity

T Gur, RD Rothblum - Proceedings of the 2015 Conference on …, 2015 - dl.acm.org
We initiate a study of non-interactive proofs of proximity. These proof-systems consist of a
verifier that wishes to ascertain the validity of a given statement, using a short (sublinear …

The landscape of communication complexity classes

M Göös, T Pitassi, T Watson - computational complexity, 2018 - Springer
We prove several results which, together with prior work, provide a nearly-complete picture
of the relationships among classical communication complexity classes between PP and …

On the power of quantum distributed proofs

A Hasegawa, S Kundu, H Nishimura - … of the 43rd ACM Symposium on …, 2024 - dl.acm.org
Quantum nondeterministic distributed computing was recently introduced as dQMA
(distributed quantum Merlin-Arthur) protocols by Fraigniaud, Le Gall, Nishimura and Paz …

Rectangles are nonnegative juntas

M Göös, S Lovett, R Meka, T Watson… - Proceedings of the forty …, 2015 - dl.acm.org
We develop a new method to prove communication lower bounds for composed functions of
the form fo gn where f is any boolean function on n inputs and g is a sufficiently" hard" two …

Faster private release of marginals on small databases

K Chandrasekaran, J Thaler, J Ullman… - Proceedings of the 5th …, 2014 - dl.acm.org
We study the problem of answering k-way marginal queries on a database D ϵ ({0, 1} d) n,
while preserving differential privacy. The answer to ak-way marginal query is the fraction of …

A hierarchy theorem for interactive proofs of proximity

T Gur, RD Rothblum - 2017 - repository.cam.ac.uk
The number of rounds, or round complexity, used in an interactive protocol is a fundamental
resource. In this work we consider the significance of round complexity in the context of …

Placing conditional disclosure of secrets in the communication complexity universe

B Applebaum, PN Vasudevan - Journal of Cryptology, 2021 - Springer
In the conditional disclosure of secrets (CDS) problem (Gertner et al. in J Comput Syst Sci,
2000) Alice and Bob, who hold n-bit inputs x and y respectively, wish to release a common …

On the power of statistical zero knowledge

A Bouland, L Chen, D Holden, J Thaler… - SIAM Journal on …, 2019 - SIAM
We examine the power of statistical zero knowledge proofs (captured by the complexity
class SZK) and their variants. First, we give the strongest known relativized evidence that …