> So, we're considering some system that (we think so here) can
> guarantee meeting its deadlines with a given (by the operator) probability.

You cannot prove determism with statistics.
Determinism can only be proven be defining, discovering,
characterizing and testing each and ever possible state AND
transition.

What would you say if our considered system, say, can mathematically
achieve this (please see below, next statement)


> We imply here that true HRT is impossible in reality and any single
> system that exists in the word meets hard real-time requirements with
> some probability. If it does not – HRT speaks of system failure.

Ah, how you are 'getting it'. YES, YES, YES, I absolutely agree
with this statement!

That's a first step we must to achieve in our discussion :).
I'm aware that you think so. I'm also thinking so. But we were wrongly
messed up with fault tolerance before… We know now, that
[any HRT system CAN miss its deadlines when in a faulty state] –
that's a statement.

Then, lets take a look at our considered system as of blackbox to the
external world. The world knows nothing of its internals, state
machines, transitions, and languages. The world is just looking at the
system in terms of request-responses and timing constrains, it is
expecting.

Say, the world thinks of the system must to work for it with some
predictable reliability. Please note, missed deadlines are just faults
here.

If we can mathematically prove the system is reliable not worse than
expected reliability, may we think it is HRT?

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