W. Edwards Deming Quotes
Declining productivity and quality means your unit production costs stay high but you don't have as much to sell. Your workers don't want to be paid less, so to maintain profits, you increase your prices. That's inflation.
Deming, W. Edwards. Quality, Productivity, and Competitive Position. Massachusetts Institute of Technology, Center for Advanced Engineering Study, 1982.
COLA means Cost Of Living Adjustment, where wages, or payments of some kind are increased periodically to keep up with inflation. Most of those who call for COLAs do not claim that they fight inflation. For them the purpose is not to allow a particular group of people to get hurt by inflation. COLAs strictly speaking do not create inflation since they are only activated by inflation that was otherwise created. However, they certainly accelerate the inflation just like every price or wage increase during a time of inflation.
Dr. William Edwards Deming was an American engineer, statistician, professor, author, lecturer, and management consultant. Educated initially as an electrical engineer and later specializing in mathematical physics, he helped develop the sampling techniques still used by the U.S. Department of the Census and the Bureau of Labor Statistics.