Existence of Faster Than Light Signals Implies Hypercomputation Already   in Special Relativity
  Within an axiomatic framework, we investigate the possibility of hypercomputation in special relativity via faster than light signals. We formally show that hypercomputation is theoretically possible in special relativity if and only if there are faster than light signals. 
P\'eter N\'emeti and Gergely Sz\'ekely
gr-qc math.LO