'promise with' is not a grammatically correct phrase.
You could say 'promise to' or 'promise something'. For example: "I promise to be on time." or "I promise you a wonderful surprise."
GitHub is promising 99.95% uptime and it is backing this promise with an SLA.
Menu descriptions of appetizers held great promise, with some realized.
It's all promise with the delivery of the postal service.
Many restaurants boast about their commitment to seasonal ingredients — Porta fulfills that promise with less flourish.
The book barn delivers on the promise with well-arranged shelves and piles.
A Chicago-based incubator, Excelerate Labs, shows promise with a unique approach to nurturing start-ups.
I expect I will be returning to the index of "Land of Promise" with some frequency.
"We are fulfilling a promise with the Bolivian people," President Evo Morales said.
Fellow youthful debutant Harry White also showed promise with two for 85.
The Serbian interior minister, Dusan Mihajlovic, backed that promise with a challenge.
Each begins with the words "We promise", with the first one saying: "We promise to listen".
