I have to submit an extended abstract of my paper for a competition. The extended abstract must be about 2~4 pages, and the competition requires it to include all the methods and results. Of course, specific definitions and proofs are included in my original paper(about 20 pages), but I can't just summarize them all into 2~4 pages without omitting some ideas or methods. So my questions are
I have some concepts that are not frequently used. Should I write them in my abstract?
Do I have to write precise definitions?
How should I summarize my proof? Can I skip the specific processes and only state main ideas? Can I omit proofs of lemmas?
(My advisor said that he has no idea of how to write an extended abstract, so I hope I can get some help from here)