We learn that once the meal is considered to have been concluded, one is prohibited from eating any longer until he recites birchas hamazon. Rashi makes it clear that he cannot eat even if he should choose to make a new bracha. What is the essence of this prohibition?
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being that your intentions are to bentch, and bentching is a requirement to the seuda that you had just eaten, it is a hefsek to the bentching.
the pasok says vachalta ( you just ate) then vsavata (you just said that your intentions are the bench, therefore you are satisfied) so now you have the mitzvas asah of uverachta