More Skills in Leadership and Communication Please!

Found in a job advertisement:

At least 6 months experience in Communication skills (Verbal and written)
At least 6 months experience in Leadership skills

I was a little puzzled by this. What did the recruiter mean by "leadership skills"? How do you get experience for such skills? Isn't the ability to communicate something one improves continually by using on any job? This job isn't an internship nor a graduate/entry level job so it is odd that the recruiter has thrown that in.

Another one read:

* PDF development

This is also another puzzling one since this position is 1) in marketing 2) not with Adobe. So what exactly are we supposed to develop, again?