In this subdivision:
I. "Government program" means any activity undertaken by a public employer, both as an employer and in performance of its government function.
II. "Public employee" means any person working on a full-time or part-time basis for the state, or any subdivision thereof, including, but not limited to counties, cities, towns, precincts, water districts, school districts, school administrative units, or quasi-public entities.
III. "Public employer" includes the state or any subdivision thereof, including, but not limited to counties, cities, towns, precincts, water districts, school districts, school administrative units, or quasi-public entities.