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Electronic Colloquium on Computational Complexity

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TR26-114 | 25th June 2026
Francesco Cristiano

The Complexity Landscape of Boolean Formula Isomorphism: From Graph Isomorphism to the Second Level

This paper studies the isomorphism problem for Boolean formulas and places it precisely in the polynomial hierarchy. Two of its results are new. The first sharpens the relationship between Boolean and graph isomorphism. Chang's reduction shows only that the unrestricted Boolean isomorphism problem is GI-hard, in one direction; restricting both ... more >>>


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 >>>



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ISSN 1433-8092 | Imprint