Lowering property tax assessment?

[Michael Healy]

Is there a general process for applying to lower my property tax assessment? I recently bought two MFHs for far lower than the assessment value and far lower than the sellers paid. Is this something that's locally determined? I asked my lawyer about it and got some convoluted answer about the assessment lagging a year or two behind values--how it's based on a year or two ago and not current or some malarkey like that. Is that true? What's been the general process from your perspective? Many thanks. Michael