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A presidential pardon can erase the convictions of federal crimes. In Rose's case, he was convicted of tax evasion after his ban from baseball and served five months in prison. Thus, a pardon could expunge that conviction. However, the power of the presidency does not extend to altering eligibility rules set forth by MLB. Under current regulations, Rose remains on the permanently ineligible list due to the circumstances surrounding his ban, and such a pardon would not impact this status.