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Social Network

Alcino Cunha edited this page Oct 10, 2019 · 4 revisions

Consider the following model of distributed social network.

sig User {}
sig Post {}
sig DistributedSN {
servers : set Server,
    friends : User -> User
}
sig Server {
     posts : User -> Post, 
     capacity : Int
}
  1. Write the following invariants:
    • Each post is owned by at most one user
    • A user cannot be his or her own friend
    • Friendship is a symmetric relation
    • Server capacity is positive
    • Servers cannot exceed their capacity
  2. Explore different (alternative) replication strategies for posts:
    • Each post is stored in at most one server
    • Each post is stored in at least two servers
  3. Specify the following operations ensuring they preserve the above invariants
    • addPost[n1,n2:DistributedSN,u:User,p:Post] add post p by user u.
    • delPost[n1,n2:DistributedSN,u:User,p:Post] delete post p from user u.
    • addFriend[n1,n2:DistributedSN,u,v:User] add v as fried of u.
    • addServer[n1,n2:DistributedSN,s:Server] add new server s to network n1.
    • delServer[n1,n2:DistributedSN,s:Server] delete server s from network n1.
  4. Check the following algebraic properties of these operations:
    • delPost undos addPost
    • delServer undos addServer
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