Section 1942 gives the tenant two self-help routes and puts hard edges on both. The trigger is the same for each: written or oral notice to the landlord or the landlord's agent of dilapidations rendering the premises untenantable which the landlord ought to repair, followed by neglect to repair within a reasonable time. The tenant may then repair the defect and deduct the cost from the rent when due, provided the cost does not exceed one month's rent of the premises; or the tenant may vacate, and is then discharged from further rent and from the other conditions of the tenancy as of the date of vacating.
Three limits sit on the remedy. Subdivision (a) caps the deduction at one month's rent and allows the remedy no more than twice in any 12-month period. Subdivision (b) supplies the timing presumption: a tenant who repairs and deducts after the 30th day following notice is presumed to have acted after a reasonable time. That presumption is rebuttable, affects the burden of producing evidence, and is expressly not a minimum — the subdivision says it shall not be construed to prevent repairing and deducting sooner where the circumstances require shorter notice, which is what makes a burst pipe different from a cracked tile. Subdivision (c) removes the remedy where the tenant caused the condition in violation of § 1929 or § 1941.2.
Subdivision (d) makes the remedy additional, not exclusive: it exists alongside anything else the chapter, the rental agreement or other statutory or common law gives. That matters because repairing and deducting is the riskiest option a tenant has — if the condition turns out not to have been untenantable, or the cost turns out not to be reasonable, the deduction shows up as unpaid rent. Deciding whether a defect qualifies and what a repair should cost is worth checking with a lawyer or a tenant service before withholding anything.