The phrase "a written commitment" is correct and usable in written English.
You can use it when referring to a formal promise or agreement that is documented in writing.
Example: "The company provided a written commitment to uphold its environmental policies for the next five years."
Alternatives: "a documented promise" or "a formal agreement".
President Hamid Karzai of Afghanistan threw a wrench into the deliberations over the cost of the security forces on Tuesday when he said in Kabul that he wanted a written commitment of $2 billion a year from the United States.
But the Palestinian Authority quickly presented a written commitment unilaterally recognizing the court's jurisdiction for "acts committed on the territory of Palestine" dating to 2002.
Membership was by invitation only and required a written commitment to supply capital on demand.
Mr. Hazare demanded a written commitment from the Congress Party on the issue before Thursday's holiday of Dussehra.
Mr Letwin has now signed a written commitment pledging to dispose of his files in a secure manner.
In turn, those leaders sought from Mr. Bremer a written commitment on the scope of the council's powers.
My organization, Americans for Tax Reform, created the pledge in 1986 as a simple, written commitment by a candidate or elected official that he or she will oppose, and vote against, tax increases.
In a letter to lawyers for Elian's Miami relatives, Justice Department officials wrote that if they did not get a specific written commitment that the boy would be turned over for return to Cuba, "We would have no choice but to move forward with the termination of Elian's parole as of Thursday at 9 a.m".
Circuit City said in a statement that "this written commitment answers some of its questions with regard to Blockbuster's and Mr. Icahn's previous disclosures".
Schools were invited to participate in the trial with all classes in grade 5, and were sent a detailed memorandum of understanding to sign and to obtain head teachers' written commitment to the trial.
Democrats have been heartened by Mr. Putin's written commitment to political and social freedoms.
