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arXiv · 2303.04735

Descriptive complexity for distributed computing with circuits

Veeti Ahvonen·Damian Heiman·Lauri Hella·Antti Kuusisto
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Abstract

We consider distributed algorithms in the realistic scenario where distributed message passing is operated via circuits. We show that within this setting, modal substitution calculus MSC captures the expressive power of circuits. The translations between circuits and MSC-programs are linear in both directions. Furthermore, we show that the colouring algorithm based on Cole-Vishkin can be specified via logarithmic size programs.

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Veeti Ahvonen, Damian Heiman, Lauri Hella, Antti Kuusisto. 2023-03-08. Descriptive complexity for distributed computing with circuits. https://arxiv.org/abs/2303.04735

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