The three routes, by their statutory headings and their IRS names.
Route (b) has five conditions and all of them bind. A joint return was filed; there is "an understatement of tax attributable to erroneous items of one individual filing the joint return"; the other spouse "establishes that in signing the return he or she did not know, and had no reason to know, that there was such understatement"; "taking into account all the facts and circumstances, it is inequitable" to hold them liable; and the election is made within the statutory window. Section 6015(b)(2) adds a partial-relief valve: someone who knew an understatement existed but not its extent is relieved of the portion they did not know about.
Route (c) allocates rather than relieves, and that is not a synonym. Where the requesting spouse is eligible, "the individual's liability for any deficiency which is assessed with respect to the return shall not exceed the portion of such deficiency properly allocable to the individual". Eligibility is a status test under 6015(c)(3)(A)(i): at the time of the election the individual must be "no longer married to, or ... legally separated from" the other spouse, or must not have been "a member of the same household ... at any time during the 12-month period ending on the date such election is filed". Three further rules shape it. The requesting spouse generally carries the burden of proof on the allocation. Actual knowledge of an item at signing removes that item from the relief, "except where the individual with actual knowledge establishes that such individual signed the return under duress". And where the other spouse transferred a "disqualified asset" to them to avoid tax, the allocated liability is increased by its value. One limit is easy to miss: section 6015(g)(3) provides that "No credit or refund shall be allowed as a result of an election under subsection (c)", so route (c) protects against what is owed and never returns what was paid.
Route (f) is the only one that reaches an unpaid balance, and that is the most practically important difference on this page. Routes (b) and (c) both require an understatement or a deficiency, meaning the return reported too little tax. Section 6015(f) instead applies where "it is inequitable to hold the individual liable for any unpaid tax or any deficiency (or any portion of either)". A couple who reported their income correctly and simply could not pay the balance has no understatement, so (b) and (c) are closed to them and (f) is the only door. It is residual by construction: 6015(f)(1)(B) requires that "relief is not available to such individual under subsection (b) or (c)".
The deadlines are three different things, and the widely-repeated single version is not the statute. The IRS page says flatly that a request must be made "within 2 years of receiving an IRS notice of an audit or taxes due because of an error on your return." The statute is more specific and its trigger is different. Sections 6015(b)(1)(E) and 6015(c)(3)(B) both set the election deadline at "not later than ... 2 years after the date the Secretary has begun collection activities with respect to the individual making the election", which is a collection event, not an audit notice. Section 6015(f)(2) sets the equitable window by reference instead: for a liability that "has not been paid", the request must be made "before the expiration of the applicable period of limitation under section 6502", the ten-year collection period; and for one that "has been paid", during the period a timely refund claim could still be made. Anyone near a deadline should be reading the statute rather than the summary, and should not assume that two years from an audit letter is the operative clock.
One form, and the taxpayer does not pick the route. Relief is requested on Form 8857, Request for Innocent Spouse Relief, and the IRS is explicit that choosing is not the applicant's job: "You don't have to try to figure out which type of relief best fits your situation. We will consider all of your information and apply the type of relief, if any, that you are eligible for." Publication 971, Innocent Spouse Relief, is the agency's own longer treatment.
Community property law is switched off, and the IRS's scoping sentence is narrower than the statute. Section 6015(a) closes with the sentence "Any determination under this section shall be made without regard to community property laws", which prevents a community-property state's rules from assigning half the other spouse's income to the requesting spouse for this purpose. Separately, the IRS page says "Innocent spouse relief is only for taxes due on your spouse's income from employment or self-employment", which is a simplification: the statute's test is "erroneous items of one individual", which is broader than employment income. The page's list of exclusions is reliable though, and it is worth knowing: relief is not available for tax on the requesting spouse's own income, for household employment taxes, for individual shared responsibility payments, for business taxes, or for trust fund recovery penalties.
The knowledge test is where most requests are decided, and abuse is an express exception. The IRS treats a claimant as having actual knowledge where they knew the spouse received unreported income, knew facts making a deduction or credit unallowable, or knew that expenses were false or inflated, and applies a reasonable-person standard alongside it. Against that, relief may still be available to someone who was "the victim of spousal abuse or domestic violence before signing the return", who "didn't challenge the items on the return because of fear", or who "signed the joint return because you were pressured or threatened."
The other spouse finds out. Section 6015(h)(2) directs the Secretary to write regulations giving an individual "notice of, and an opportunity to participate in" the administrative proceeding, and the IRS states that after a request it will "contact your spouse or former spouse to ask if they want to participate in the process". Both spouses generally have appeal rights, within 30 days of the determination letter, and section 6015(e) provides for review by the Tax Court. The IRS warns that a review "may take up to 6 months or longer". Certain years are closed off entirely: relief is unavailable where the taxpayer signed an offer in compromise or a closing agreement covering the same tax, where a court has finally denied relief, or where they took part in a related court proceeding and did not ask for relief then.