The phrase "a program to build" is correct and usable in written English.
It can be used when referring to a specific initiative or software designed to create or develop something.
Example: "The organization launched a program to build sustainable housing in the community."
Alternatives: "a project to create" or "an initiative to develop".
In 1950, Truman announced a program to build the first thermonuclear weapon the hydrogen bomb.
Iraq, he insists, had a program to build "missile warheads equipped for long-range transport of bacteriological substances".
He will also resuscitate a program to build a space capsule, but a scaled-down version to be parked at the space station for emergency escapes.
The 863 Program noticed, and last year it added a program to build a micro-electric car, inspired by bicycle components, for commuters.
Also in 1962, coincidentally, New York State began a program to build artificial reefs to aid fishermen, setting the squeaky wheels of fate rolling.
At the moment he is moving forward with a program to build a thousand homes on a giant lot he owns.
Later, in a speech, Kennedy proposed that city funds be used for a crash program to build a vaporproof barrier over the expressway beneath the George Washington Bridge Apartments.
The Pentagon grounded a $30 billion program to build an experimental aircraft for the Marine Corps following a fatal crash on Dec. 11 of the MV-22 Osprey.
The Israelis have insisted for years that Iran has a clandestine program to build a bomb, and will do so as soon as it can.
For several years the C.I.A. also suspected, but could not prove, that North Korea had a clandestine program to build a bomb using another process, involving highly enriched uranium.
Those in the industry also expect Mr. Gates to end a Navy program to build a $3 billion stealth destroyer, though it is not clear how many will be built of the three ships that have received some money.
