# Re: [tlaplus] Weak fairness until a majority

One tweak, if counter is unbound then it should be

Nodes0 == {n \in Nodes : counter[n] = 0}
NodesInc == {n \in Nodes : counter[n] >= 1}
WF_vars(Card(Nodes0) >= Card(NodesInc) /\ Increment)

On Thu, Dec 8, 2022 at 10:29 AM Stephan Merz <stephan.merz@xxxxxxxxx> wrote:

Nodes0 == {n \in Nodes : counter[n] = 0}
Nodes1 == {n \in Nodes : counter[n] = 1}
WF_vars(Card(Nodes0) > Card(Nodes1) /\ Increment)

Stephan

On 8 Dec 2022, at 13:59, Jack Vanlightly <vanlightly@xxxxxxxxx> wrote:

Hi all,

Let's say that I have an ensemble of nodes and each node has a counter. I have the action Increment which increments the counter of a node, if the value is 0.

Increment ==
\E n \in Nodes :
/\ counter[n] = 0
/\ counter' = [counter EXCEPT ![n] = @ + 1]

I would like to express weak fairness of Increment, but only while a minority of nodes have incremented their counter. So once a majority have incremented their counter, the weak fairness no longer applies.

Is there a way of defining weak fairness in this way?

Thanks
Jack Vanlightly

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