Can I deduct 2015 state taxes paid during 2016 when entering my 2015 state tax refund as income for 2016?

I recieved a state tax refund on my 2015 taxes.  In 2016, I received a state assessment and paid additional state taxes for 2013, 2014 and 2015 as a correction.  Can I deduct the additional 2015 state taxes I paid when entering the 2015  state tax refund as income?  Can I deduct what I paid in 2013 and 2014 taxes as well?