Some thoughts on hypercomputation

We first show that the Halting Function (the noncomputable function that solves the Halting Problem) has explicit expressions in the language of calculus. Out of that fact we elaborate on the possible meaning of hypercomputation theory within the setting of formal mathematical theories.

• Type: Journal
• Year: 2006
• Where: AMC
• Authors: Newton C. A. da Costa, Francisco A. Doria
• Keywords: AMC 2006, Halting Function, Halting Problem, Noncomputable Function