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Electronic Colloquium on Computational Complexity

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TR26-113 | 4th July 2026
Benny Applebaum, Shahar Shechter

Retrieve-Compute PIR and Its Applications

Two-server Private Information Retrieval achieves arbitrarily small polynomial communication, but relies on a strong non-collusion assumption that
is difficult to justify in practice.

We introduce a new variant of two-server PIR in which one server acts as a standard *compute* server, while the other is a restricted *retrieval-only* server. The ... more >>>


TR26-112 | 30th June 2026
Yuriy Dementiev, Tatiana Gladysh, Artur Ignatiev, Anna Kogan, Ivan Mihajlin, Timofey Moskalenko, Varvara Prozorova, Anastasiia Salimova, Lev Shpraidun, Alexander Smal

Improved Bounds on the Half-Duplex Communication~Complexity

We continue the study of half-duplex communication complexity, a model introduced in [HIMS18] and further studied in [DISSU21], in which each player can either send a bit or listen in each round, similarly to communication over a walkie-talkie.
We prove improved upper bounds for the Inner Product function in the ... more >>>


TR26-111 | 2nd July 2026
Guy Rothblum

Doubly-Efficient Interactive Arguments for Bounded-Space from One-Way Functions

We show that one-way functions suffice for constructing very efficient argument systems for proving the correctness of bounded-space computations. Taking $\kappa$ to be a cryptographic security parameter and $n$ to be the input length, our argument system applies to general computations running in time $T$ and space $S$. The protocol ... more >>>



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