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Interactive distributed proofs
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 …
language (or compute a hard function) by communicating with a powerful but untrusted …
Rectangles are nonnegative juntas
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 …
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
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 …
verifier that wishes to ascertain the validity of a given statement, using a short (sublinear …
The landscape of communication complexity classes
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 …
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 …
(distributed quantum Merlin-Arthur) protocols by Fraigniaud, Le Gall, Nishimura and Paz …
Rectangles are nonnegative juntas
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 …
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
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 …
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 …
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
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 …
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
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 …
class SZK) and their variants. First, we give the strongest known relativized evidence that …