Help on constructing a query that matches array

Hey all,

I need help on constructing a query with arrays that matches the arrays up
as foriegn keys to another table. For example, say that I have two tables,
owners and pets.

Owner Table
owner_id | pet_ids
1             |    {1,2,3}
2             |    {2,3}

Pet Table
pet_ids   |   Pet Type
1            |  Dog
2            |  Cat
3            |  Fish
4            |  Bird

Basically I am trying to create a SELECT query that returns the type of pets
an owner has by matching the pet_ids up. Can anyone help me with this?
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