Section 19. The assessment, collection, apportionment and payment over of the roll-back taxes imposed by section thirteen shall be governed by the procedures provided for the assessment and taxation of omitted property under section seventy-five of chapter fifty-nine. Such procedures shall apply to each tax year for which roll-back taxes may be imposed notwithstanding the limitation set forth in said chapter fifty-nine with respect to the periods for which omitted property assessments may be imposed. Any person aggrieved by any determination or assessment by the board of assessors under this chapter may within 30 days of the date of notice thereof apply in writing to the assessors for modification or abatement thereof. Any person aggrieved by the refusal of the assessors to modify such a determination or make such an abatement or by their failure to act upon such an application may appeal to the appellate tax board within thirty days after the date of notice of their decision or within three months of the date of the application, whichever date is later. It shall be a condition of such appeal with respect to the annual general property tax that the asserted tax be paid, but no payment shall be required as a condition of such appeal with respect to any asserted conveyance tax or roll-back tax. If any payment of any tax imposed by this chapter should be made and as the result of any such modification or abatement by the board of assessors or decision by the appellate tax board it shall appear that any such tax has been overpaid, such excess payment shall be reimbursed by the town treasurer with interest at the rate of six per cent per annum from time of payment. Collection of any conveyance or roll back taxes, by sale or taking or otherwise, may be stayed by the appellate tax board while any such appeal is pending. Any partial payment of the asserted tax that may be required by the appellate tax board in connection with such stay shall not exceed one half of the asserted tax.