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Every Bit Counts in Consensus

Authors Pierre Civit, Seth Gilbert, Rachid Guerraoui, Jovan Komatovic, Matteo Monti, Manuel Vidigueira

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  • Theory of computation → Distributed algorithms
Keywords
  • Byzantine consensus
  • Bit complexity
  • Latency

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Abstract

Consensus enables n processes to agree on a common valid L-bit value, despite t < n/3 processes being faulty and acting arbitrarily. A long line of work has been dedicated to improving the worst-case communication complexity of consensus in partial synchrony. This has recently culminated in the worst-case word complexity of O(n²). However, the worst-case bit complexity of the best solution is still O(n²L + n²κ) (where κ is the security parameter), far from the Ω(nL + n²) lower bound. The gap is significant given the practical use of consensus primitives, where values typically consist of batches of large size (L > n).
This paper shows how to narrow the aforementioned gap. Namely, we present a new algorithm, DARE (Disperse, Agree, REtrieve), that improves upon the O(n²L) term via a novel dispersal primitive. DARE achieves O(n^{1.5}L + n^{2.5}κ) bit complexity, an effective √n-factor improvement over the state-of-the-art (when L > nκ). Moreover, we show that employing heavier cryptographic primitives, namely STARK proofs, allows us to devise DARE-Stark, a version of DARE which achieves the near-optimal bit complexity of O(nL + n²poly(κ)). Both DARE and DARE-Stark achieve optimal O(n) worst-case latency.

Cite As Get BibTex

Pierre Civit, Seth Gilbert, Rachid Guerraoui, Jovan Komatovic, Matteo Monti, and Manuel Vidigueira. Every Bit Counts in Consensus. In 37th International Symposium on Distributed Computing (DISC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 281, pp. 13:1-13:26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.DISC.2023.13

Author Details

Pierre Civit
  • Sorbonne University, Paris, France
Seth Gilbert
  • National University of Singapore, Singapore
Rachid Guerraoui
  • Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland
Jovan Komatovic
  • Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland
Matteo Monti
  • Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland
Manuel Vidigueira
  • Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland

Funding

  • Gilbert, Seth: Supported in part by the Singapore MOE Tier 2 grant MOE-T2EP20122-0014.
  • Vidigueira, Manuel: Supported in part by the FNS (#200021_215383).

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