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On the complexity of communication complexity

Proceedings of the forty-first annual ACM symposium on Theory of computing, 2009
We consider the following question: given a two-argument boolean function f, represented as an N x N binary matrix, how hard is it to determine the (deterministic) communication complexity of f?We address two aspects of this question. On the computational side, we prove that, under appropriate cryptographic assumptions (such as the intractability of ...
Eyal Kushilevitz, Enav Weinreb
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Interactional Complexity and Communication

Family Process, 1984
This paper draws attention to an over‐simplification that we believe has been frequently made in the analysis of interpersonal communication. This happens when one uses interpersonal communication models that do not match the interactional complexity of the system under observation.
C, Ricci, M, Selvini-Palazzoli
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On the Communication Complexity of AND Functions

IEEE Transactions on Information Theory, 2021
Log-rank conjecture is one of challenging problems in communication complexity. It is known to hold for some special function classes such as XOR functions $\text {f}(\text {x}\oplus \text {y})$ when the outer function f is monotone, symmetric, $\mathsf {AC}^{0}$ , low $\mathbb {F}_{2}$ -degree, linear threshold or read-k.
openaire   +1 more source

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