Regularity as seen by Alice and Bob
The goal of this paper is to propose a unifying model for Nerode-style characterizations of regularity across functions with different output domains. Building on Hauser's work in communication complexity, we generalize the setting by relaxing the computability assumptions and allowing non-Boolean output domains. We consider functions of type $Σ^* \to \domain$, where $Σ$ is a finite alphabet and $\domain$ is an arbitrary domain. For several domains, we show that the model coincides with known models of computation. We further conjecture that an analogous correspondence holds for other domains that currently lack a Nerode-style characterization of regularity, and we provide ample supportin...
| Authors | Omid Yaghoubi, Mikołaj Bojańczyk, Aliaume Lopez et al. |
|---|---|
| Primary category | cs.FL |
| Published | 15 July 2026 |
| Last updated at source | 15 July 2026 |
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