Blockchain & Distributed Consensus
Statements tagged with the consensus area. This is a generated view, not a home directory – a statement can belong to several areas at once. See all statements for the full index, or the schema for what each column means.
| Status | Statement | Tags |
|---|---|---|
|
Dream DPT for a moderately hard function Open: whether there exists a function family, and a standard fine-grained hardness hypothesis (the paper suggests NSETH as an example), for which solving t independent instances requires resources within a subexponentially small factor of solving them one at a time, with no loss in the exponent. The source reduces its permissionless consensus protocol to exactly this statement and leaves it unconstructed. 5 open |
standardassumptionresearch-opennew-idea (ai)IOG | |
|
Optimal martingale gap finders Open for small mu. Settled when mu is bounded away from zero, where the Cleve-Impagliazzo gap finder already gives the conjectured product; for general mu the known bound is a factor mu short and the paper states it does not know the answer. 5 open |
standardlower-boundresearch-opennew-idea (ai) | |
|
Partial-PKI consensus up to one-half resilience Open: whether consensus is achievable at every resilience gamma < 1/2 in the paper’s permissionless common-random-string setting, by some protocol using any means of bootstrapping party identities. The source proves resilience up to 1/4(1-3*epsilon) via a specific protocol and proves 1/4 is tight only for the restricted class of protocols that sign everything they send and verify everything they receive; the gap to the classical 1/2 ceiling is open for arbitrary protocols. 5 open |
standardtight-boundresearch-opennew-idea (ai)IOG |
No matching items