Pei:

> For that "level" issue, one way to see it is through the concept
> of "virtual
> machine".  We all know that at a low level computer only has procedural
> language and binary data, but at a high level it has
> non-procedural language
> (such as functional or logical languages) and decimal data.  Therefore, if
> virtual machine M1 is implemented by virtual machine M2, the two may still
> have quite different properties.  What I'm trying to do is to implement a
> "non-computing" system on a computing one.

Interestingly though, even if M1 and M2 are very different, bisimulation may
hold.

For example, NARS can simulate any Turing machine -- it has universal
computation power -- but this will often be a very inefficient simulation
(you need to use HOI with  maximal confidence and boolean strength) ..

The problem is that bisimulation, without taking efficiency into account, is
a pretty weak idea.  This is a key part of my critique of wolfram's
thinking...

ben

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