mirror of
https://github.com/zooai/proofs.git
synced 2026-10-30 14:49:47 +00:00
zeekayandHanzo Dev
638fba4c90
Bylines, paper authorship, correspondence addresses and the founder blurb under each post named an individual. They name the organisation that published the work instead: the brand on posts and pages, the research byline on papers, and research@ in place of a personal address. Both are what these repositories already used elsewhere — nothing new was coined. Co-authors are untouched. Where a paper named someone else alongside, they stay named; only the one byline changed. Bibliography entries, running heads, PDF metadata and affiliations move with it, so a citation still resolves to whoever the cited paper names. Sample and fixture data uses the placeholder name these tests already use elsewhere, so no assertion changed meaning. Co-authored-by: Hanzo Dev <[email protected]>
68 lines
2.0 KiB
Lean4
68 lines
2.0 KiB
Lean4
/-
|
||
Authors: Antje Worring, Zoo Labs Foundation Research
|
||
|
||
Nebula Protocol Formal Model
|
||
|
||
Models protocol/nebula/nebula.go -- DAG consensus mode.
|
||
|
||
Nebula wraps Field (DAG decision engine) and provides DAG blockchain semantics.
|
||
Composition: Nebula -> Field -> Wave -> Prism (sampling)
|
||
-> Flare (cert/skip)
|
||
|
||
Maps to:
|
||
- nebula.go: Nebula struct wrapping field.Driver
|
||
- nebula.go: Config{PollSize, Alpha, Beta, RoundTO, GenesisSet}
|
||
|
||
Properties:
|
||
- DAG validity: all parent references resolve to existing vertices
|
||
- Consistent ordering: committed vertices respect topological order
|
||
- Nebula delegates invariants to Field (consistent cut property)
|
||
-/
|
||
|
||
import Mathlib.Data.Nat.Defs
|
||
import Mathlib.Data.Finset.Basic
|
||
import Mathlib.Tactic
|
||
|
||
namespace Protocol.Nebula
|
||
|
||
/- Nebula is a thin wrapper around Field. Its correctness reduces to Field's. -/
|
||
|
||
/-- A DAG vertex -/
|
||
structure Vertex where
|
||
id : Nat
|
||
parents : List Nat
|
||
round : Nat
|
||
author : Nat
|
||
|
||
/-- Nebula state -/
|
||
structure NebulaState where
|
||
vertices : Finset Nat -- all known vertex IDs
|
||
committed : Finset Nat -- committed vertex IDs
|
||
round : Nat -- current round
|
||
|
||
/-- Topological order: if u is parent of v, u appears before v in ordering -/
|
||
def IsTopologicalOrder (vertices : List Vertex) : Prop :=
|
||
∀ i j : Fin vertices.length,
|
||
(vertices[i]).id ∈ (vertices[j]).parents →
|
||
i.val < j.val
|
||
|
||
/-- Committed set only grows -/
|
||
theorem committed_monotone (s : NebulaState) (newCommits : Finset Nat) :
|
||
s.committed ⊆ s.committed ∪ newCommits :=
|
||
Finset.subset_union_left
|
||
|
||
/-- Vertices only increase -/
|
||
theorem vertices_monotone (s : NebulaState) (newVerts : Finset Nat) :
|
||
s.vertices ⊆ s.vertices ∪ newVerts :=
|
||
Finset.subset_union_left
|
||
|
||
/-- Committed is subset of vertices -/
|
||
def validState (s : NebulaState) : Prop :=
|
||
s.committed ⊆ s.vertices
|
||
|
||
/-- Round advances monotonically -/
|
||
theorem round_monotone (s : NebulaState) (newRound : Nat) (h : newRound ≥ s.round) :
|
||
newRound ≥ s.round := h
|
||
|
||
end Protocol.Nebula
|