The phrase "an extermination program" is correct and usable in written English.
It can be used in contexts discussing systematic efforts to eliminate a particular group or species, often in historical or environmental discussions.
Example: "The government implemented an extermination program aimed at eradicating the invasive species that threatened local ecosystems."
Alternatives: "a eradication initiative" or "a removal strategy".
carried out an extermination program targeting the Polish élite.
On the flip side, it's also found itself condemned for Nobel Peace Prize-winning President Aung San Suu Kyi's lack of action on what is largely being reported as an extermination program aimed at the stateless, predominantly Muslim Rohingya people.
Both of these articles focus on USDA's Wildlife Services' inhumane treatment of Canadian geese, which a 2011 McClatchy article called "an extermination program," which, by the way, taxpayers are subsidizing.
But it is an especially difficult issue here because the Nazis used the term euthanasia as cover for a mass extermination program of disabled people.
Our guides, who are handpicked by the government to interact with tourists, proudly highlighted the state of art hospitals during our tour and boasted there were only 3 known cases of the Zika virus in Cuba due to a government military style extermination program.
Under this extermination program, known to S.S. bureaucrats by the code Action 14f13, some sixty-five hundred prisoners were killed in the course of a year.
The book is filled with such monstrous abstractions: "The extermination program that was started in the autumn of 1941 ran, as it were, on two altogether different tracks".
Writer traces events leading up to Nazi extermination program, how it was carried out in Germany and in the various German-occupied countries of Europe.
It came at the end of a voluntary statement in which he offered a long, carefully worded and strangely moving apologia to the Israeli court and to the world for his role in the extermination program.
According to Irving, Goebbels wrote about the extermination program on March 27th, but "evidently held his tongue when he met Hitler two days later".
The extermination program was codenamed Operation Reinhard (German: Aktion Reinhard) to differentiate it from the Einsatzgruppen's killing spree in territories conquered by Nazi Germany, in which half a million Jews had already been killed.
