[ordu]

If your input is not bounded you can't know in advance the time needed to process it. In other word you cannot be realtime.

`cat` can be realtime, but only by fixing the size of its internal buffer where it reads to and writes from. In this case it can in theory bound the time needed to process the fixed block of input.

But if for some reason `cat` tried to read/write by lines of unknown in advance size, it would fail to be realtime.

[dataflow]

I think we're not disagreeing on the actual constraints, but the terminology. The "internal buffer" is not part of the system's "input". It's part of the system's "state".

[kllrnohj]

We're talking about function inputs, not system inputs.

[dataflow]

Real-time is a property of the whole system though (?) not individual functions. But even if you want to reframe it to be about functions, small input is neither necessary nor sufficient for it being "real time". Like your function might receive an arbitrarily large n-element array a[] and just return a[a[n-1]], and it would be constant time. Again, the size is the simply not the correct property to look at.

[ordu]

> Real-time is a property of the whole system though (?) not individual functions.

As I see it, it leads to a contradiction. `cat` have unbounded time of execution. It depends on a size of input. It means that `cat` cannot be realtime. But this logic leads us to a conclusion, that any OS kernel cannot be realtime, because it works for an unbounded time.

It is a non sense. Realtime is about latency: how much it takes time to react to an input. `cat` may be realtime or may be not, it depends on how we define "input". We need to define it in a way that it is bounded. I mean 4Kb chunks of bytes for example.

> Like your function might receive an arbitrarily large n-element array a[] and just return a[a[n-1]], and it would be constant time.

No. Receiving n-element array is an O(n) operation. It needs to be copied to memory. We can of course pick one function that just get a pointer to an array, but if real-time is a property of the whole system, then this system needs to copy the array from the outside world into memory. And it is an O(n) operation. So for any latency requirement exists such N so when n>N this requirement would not be met. So unbounded array as an input is incompatible with a real-time.