I would have to say that I'm guilty of using the terms interchangeably but the definitions as given by Metengr are the same that I've always seen.
In the Jan-2000 edition of API RP-520 Part I, similar definitions are given. Also, as found in the following section
2.2.1.1.2 Spring-loaded pressure relief valves are referred to by a variety of terms, such as safety valves, relief valves and safety relief valves. These terms have been traditionally applied to valves for gas/vapor service, liquid service, or multi-service applications, respectively. The more generic term, pressure relief valve, is used in the text and is applicable to all three.
Recently, I happened to be looking at a copy of API RP-576, Inspection of Pressure-Relieving Devices, Dec-2000, and found they have a broader discussion about the different designs and actually list limitations to their use. Among the limitations listed: Safety valves should not be used in liquid service, Relief valves should not be used in vapor service.
Seems that it would have been more appropriate to include the API RP-576 discussions in API RP-520 but I guess it is fairly obvious, don't expect a valve designed for liquid service only to perform equally well in vapor service.
Anyway, the bottom line is you need to identify all requirements for your relief system design whether a case controls for relief area sizing or not. Then select the appropriate relief valve for all possible cases you identified. If you do have a situation that requires a relief valve to relieve a vapor for some cases or a liquid for others, be sure the valve you select has certified capacities for both vapor and liquid service or gives at least orifice area/nozzle discharge coefficient for both vapors and liquids.
As added info, Consolidated (
offers 2 separate catalogs. SRV-1 for Safety Relief Valves and SV-1 for Safety Valves.