Physically-Relativized Church-Turing Hypotheses

Details Physically-Relativized Church-Turing Hypotheses Physically-Relativized Church-Turing Hypotheses

2008-05-09

arxiv.org/abs/0805.1292v1

pp.1431-1447 in Applied Mathematics and Computation vol.215:4 (2009)

Physics

Computational Physics

interdisciplinary paper: philosophy of physics, computational physics, computational complexity and computability

Scientific paper

10.1016/j.amc.2009.04.062

We turn `the' Church-Turing Hypothesis from an ambiguous source of sensational speculations into a (collection of) sound and well-defined scientific problem(s): Examining recent controversies, and causes for misunderstanding, concerning the state of the Church-Turing Hypothesis (CTH), suggests to study the CTH relative to an arbitrary but specific physical theory--rather than vaguely referring to ``nature'' in general. To this end we combine (and compare) physical structuralism with (models of computation in) complexity theory. The benefit of this formal framework is illustrated by reporting on some previous, and giving one new, example result(s) of computability and complexity in computational physics.

Affiliated with

Also associated with

No associations

Rating

Physically-Relativized Church-Turing Hypotheses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Physically-Relativized Church-Turing Hypotheses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Physically-Relativized Church-Turing Hypotheses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332187