pezkuwichain/consensus
1
0
Fork 0
mirror of https://github.com/pezkuwichain/consensus.git synced 2026-04-22 04:27:57 +00:00
Code Issues Packages Projects Releases Wiki Activity

Clean up langauge and make parenthetical comment important

Browse Source
This commit is contained in:
Jeff Burdges
2019-04-17 16:36:03 +02:00
parent b79d0f660c
commit f937b64f9d
1 changed files with 1 additions and 1 deletions
Download Patch File Download Diff File Expand all files Collapse all files
pdf/grandpa.tex
+1 -1
View File
@@ -224,7 +224,7 @@ A vote $v$ for a block $B$ by a validator $V$ is a message signed by $V$ contain
A validator equivocates in a set of votes $S$ if they have more than one vote in $S$. We call a set $S$ of votes tolerant if the number of voters who equivocate in $S$ is at most $f$. We say that $S$ has supermajority for a block $B$ if the set of voters who either have a vote for blocks $\geq B$ or equivocate in $S$ has size at least $(n+f+1)/2$. (The reason to count equivocations like this is to retain monotonicity , that if $S \subset T$ then if $S$ has a supermajority for $B$ so does $T$, while being able to ignore yet more equivocating votes from an equivocating validator).
A validator equivocates in a set of votes $S$ if they have more than one vote in $S$. We call a set $S$ of votes tolerant if the number of voters who equivocate in $S$ is at most $f$. We say that $S$ has a supermajority for a block $B$ if the set of voters who either have a vote for blocks $\geq B$ or equivocate in $S$ has size at least $(n+f+1)/2$. We count equivocations as votes for everything like this so that observing a vote is monotonic, meaning that if $S \subset T$ then if $S$ has a supermajority for $B$ so does $T$, while being able to ignore yet more equivocating votes from an equivocating validator.
The $2/3$-GHOST function $g(S)$ takes a set $S$ of votes and returns the block $B$ with highest block number such that $S$ has a supermajority for $B$.
If there is no such block, then it returns `nil`. (if $f \neq \lfloor (n-1)/3 \rfloor$, then this is a misnomer and we may change the name of the function accordingly.)