# What does “securely realize” mean?

I was wondering what "securely realizes" means. I see this in some cryptographic papers but I don't know what it means for a protocol to "securely realize" a function $F$. Is it just a fancy way of saying "uses" or does it mean something else?

• Generally, if the author of the paper defines the meaning of that phrase or provides a footnote with a reference, the phrase is intended to have specific technical meaning, otherwise probably not. – Henrick Hellström Apr 24 '13 at 22:59
• If F is an instance of some standard notion (e.g., a hash function) associated with a standard security definition (e.g., collision resistance), then "securely realizing F" might mean that F satisfies some security notion (e.g., it is a hash function satisfying collision resistance). (I don't see how to "securely realize a function F," since the underlying standard notion isn't a function itself, but that might just be a wording issue in the original question.) – user2768 Aug 12 '16 at 11:37