It gets even worse than this. I've attached the API definition (from API RP520) of several types of valves.
QUOTE
a. A relief valve is a spring loaded pressure relief valve actuated by the static pressure upstream of the valve. The valve opens normally in proportion to the pressure increase over the opening pressure. A relief valve is used primarily with incompressible fluids.
b. A safety valve is a spring loaded pressure relief valve actuated by the static pressure upstream of the valve and characterized by rapid opening or pop action. A safety valve is normally used with compressible fluids.
c. A safety relief valve is a spring loaded pressure relief valve that may be used as either a safety or relief valve depending on the application.
d. A conventional pressure relief valve is a spring loaded pressure relief valve whose operational characteristics are directly affected by changes in the back pressure.
e. A balanced pressure relief valve is a spring loaded pressure relief valve that incorporates a bellows or other means for minimizing the effect of back pressure on the operational characteristics of the valve
f. A pilot operated pressure relief valve is a pressure relief valve in which the major relieving device or main valve is combined with and controlled by a self actuated auxiliary pressure relief valve (pilot).
In industry we don't really distinguish between PRV and PSV as it is common to use these terms interchangeably. Just like some words in many languages where the true meaning is obtained from the context of their use, this is pretty much how we treat the relief valve.