On 12/13/2018 4:15 AM, Bruno Marchal wrote:
See the bit about reversible computing: https://en.wikipedia.org/wiki/Landauer%27s_principle (computations that are reversible require no energy).

And they produce no results since they run both ways.  They are not even computations in the CT sense.

They are computations in the CT sense.

CT computations halt.  A program that can just wander back an forth at random doesn't halt.


?

There is no CT for the programs who always halt. Universal machine would not exist. The price of being a universal machine is that not only it does not always halt, but there is no mechanical procedure deciding when it halts or not.

No, my point was that unless a program halts it has not computed anything.  I objected to the above /"computations that are reversible require no energy"/.   This is either a statement about the abstract mathematical computation, in which case it is trivial, or it is a statement about physically realized computations in which case it is false because physically reversible computations have no direction.

Brent

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