Re: Question about PB rule of LKMM

From: Andrea Parri
Date: Fri Mar 08 2024 - 16:29:36 EST


> I can't tell which aspect of this bothers you more: the fact that the
> text uses an argument by contradiction, or the fact that it ignores the
> possibility of two instructions executing at the same time.
>
> If it's the latter, consider this: Although the text doesn't say so,
> the reasoning it gives also covers the case where F executes at the same
> time as E. You can still deduce that W must have propagated to E's
> CPU before E executed, because W must propagate to every CPU before F
> executes.

Agreed. I suspect this exchange would have been much shorter if we did
say/write so, but I'll leave it up to you.


> (In fact, that sentence isn't entirely accurate. It should say "... not
> to propagate W (or a co-later store)...".)
>
> Let's consider coe instead of fre. The description of how the
> operational model manages the coherence order of stores is found in
> section 13 (AN OPERATIONAL MODEL):
>
> When CPU C executes a store instruction, it tells the memory
> subsystem to store a certain value at a certain location. The
> memory subsystem propagates the store to all the other CPUs as
> well as to RAM. (As a special case, we say that the store
> propagates to its own CPU at the time it is executed.) The
> memory subsystem also determines where the store falls in the
> location's coherence order. In particular, it must arrange for
> the store to be co-later than (i.e., to overwrite) any other
> store to the same location which has already propagated to CPU
> C.
>
> So now if E is a store and is co-before W, how do we know that W didn't
> propagate to E's CPU before E executed? It's clear from the last
> sentence of the text above: If W had propagated to E's CPU before E
> executed then the memory subsystem would have arranged for E to be
> co-later than W. That's an argument by contradiction, and there's no
> way to avoid it here.

I can live with that.

Andrea