Megan McArdle and Russ Roberts discuss the issue in the last quarter of their podcast. If you prefer an academic paper, read Joshua Aizenman and Nancy Marion. They write, in part

today’s temptation to inflate away some of the debt burden is similar in some respects to that in 1945, when inflation successfully eroded a substantial part of the debt burden Yet there are important differences -shorter debt maturities today reduce the temptation to inflate, while the larger share held by foreign creditors increases it.

The thing is, you can inflate away some of the current debt, but the future obligations for Medicare and so forth would not be reduced by inflation.