The purpose of v0 is mainly to define the behavior for an empty-array input.

On Thursday, February 13, 2014 7:01:34 AM UTC-5, Ivar Nesje wrote:
>
> I think the purpose of v0 is indeed unclear after the implementation 
> changed, but it is just that it has not yet been removed. There are some 
> reasons why we want the associativity of reduce to be undefined (most 
> notably error propagation with floating point numbers). I think that v0 
> should be deprecated before 0.3 is released.
>
> I submitted an issue https://github.com/JuliaLang/julia/issues/5797
>

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