Pushing is underexposing and then overdeveloping to get a usable image. There is usually excessive contrast. The film is usually rated faster than it really is, and there is a corresponding loss of shadow detail
Developing longer than Normal to increase contrast for a low contrast scene falls under contrast control and is an integral part of the Zone System and other black-and-white contrast-control schemes. Here the film speed is not artificially increased
PMK is not the best developer for increasing contrast, and probably worse for pushing. Nevertheless, I get a good N+2 on Tri-X with a couple of trick. I use a 1:5:100 dilution, i.e., considerably more Solution B to increase developer dilution and extended development times. The film needs to be increased in speed about a stop, and the fogging is still considerable, needing to be printed through. The negs print alright, however.
Lately I've been experimenting with adding ascorbic acid (vitamin C) to PMK to help with expansions. I've had some interesting results with this. I mix a 0.5% ascorbic acid solution as stock solution C. So far, 2 parts A, 6 parts B and 1 part C to 100 parts water has yielded good results; I can get a pretty good N+2 at my N+1 time.
BTW, I don't push film very often, but I do use Zone System expansions quite a bit.
Best,
Doremus Scudder
www.DoremusScudder.com