In a recent work, Cormode, Dall'Agnol, Gur and Hickey (CCC, 2024) introduced the model of Zero-Knowledge Streaming Interactive Proofs (zkSIPs).
Loosely speaking, such proof-systems enable a prover to convince astreaming verifier that the input $x$, to which it has read-once streaming access, satisfies some property, in such a way that ... more >>>

We characterize the power of constant-depth Boolean circuits in generating uniform symmetric distributions. Let $f\colon\{0,1\}^m\to\{0,1\}^n$ be a Boolean function where each output bit of $f$ depends only on $O(1)$ input bits. Assume the output distribution of $f$ on uniform input bits is close to a uniform distribution $\mathcal D$ with ... more >>>

First of all we give some reasons that “natural proofs” built not a barrier to prove P not= NP using Boolean complexity. Then we investigate the approximation method for its extension to prove super-polynomial lower bounds for the non-monotone complexity of suitable Boolean functions in NP or to understand why ... more >>>