Senator Kirsten E. Gillibrand (D-NY) Brendan Smialowski | AFP | Getty Images

A dozen Democratic senators introduced a bill on Thursday to overhaul the popular but challenged Public Service Loan Forgiveness Program. The legislation, the What You Can Do for Your Country Act, would dramatically expand the pool of student loan borrowers who are eligible to have their debt canceled. Sens. Tim Kaine, D-Va., and Kirsten Gillibrand, D-N.Y., led the bill, and Elizabeth Warren, D-Mass., and Bernie Sanders, I-Vt., are among the co-sponsors. "The current Public Service Loan Forgiveness Program is a bureaucratic nightmare, and the Department of Education is failing to meet its obligation to help ease the student debt burden for our nation's public servants," Gillibrand said in a statement. Gilibrand is running for president in 2020, as are Warren and Sanders. The current government program, signed into law by President George W. Bush in 2007, allows certain not-for-profit and government employees to have their federal student loans canceled after 10 years of on-time payments.

In 2013, the Consumer Financial Protection Bureau estimated that one-quarter of American workers could be eligible. However, the program has been plagued by problems. The bureau has since found that student loan servicers delay or deny borrowers access to the program by failing to provide them with accurate and complete information about its requirements. As a result, many people in public service jobs believe that they're paying their way to loan forgiveness only to discover at some point in the process that they don't qualify for one technical reason or another. Often, their loan type or repayment plan was ineligible. The Education Department recently released data on how many borrowers' loans it has forgiven under the program — just 206. More than 41,000 people have applied. The new legislation would make all federal loans eligible for the program. Under the current law, borrowers in the Federal Family Education Loan (FFEL) Program do not qualify. In addition, all federal repayment plans would be eligible for the relief. There are some 14 ways to repay your student loans, but to qualify for public service loan forgiveness you currently need to be enrolled in one of the four income-based programs.

Secretary of Education Betsy DeVos Jabin Botsford | The Washington Post | Getty Images