PTC fuses are resettable, i.e. they go to high resistance when tripped and return to low resistance when they cool. Some examples would be e.g. Bel fuse 0ZCJ or Littelfuse Polyfuse series.
One thing the manufacturers are coy about is what is the failure mode of these components. They do give you means to determine the safe operating area but won't tell you how does it fail if it overheats.
Does it fail open like a regular fuse (good) or does it fail closed like a TVS diode (bad)?
Failing closed is obviously pretty lousy for a circuit protection component to work like, I'd say from the principle of operation it shouldn't short but does anyone have a manufacturer's reference or maybe a white paper about the failure mode?