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@Opus 17 wrote:

3. Then a few days or weeks later, your Dad puts you on the deed.  You get half the house and half of his adjusted cost basis as of the date of the gift (his partially stepped-up basis).


No, because @mgawro01 stated, "During that time he retained the right to live there (life estate)".  

 

If that was the case, then @mgawro01 had a remainder interest while Dad had a life estate.