CCCC-LC is Sequentially Consistent
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- Main lemma
- For Z an execution satisfying CCCC and Load Coherence, consider any path zQe in G(Z). Then the following properties are true:
- for loads k, l in zQe if k precedes l in Q then k < l or (a(k)=a(l) and phi(k) < phi(l))
- zQe is in phase order (see Local View Memory Models)
- z <e e
The proof is straightforward by structural induction. Load Coherence is needed to handle the case Qls where l->s -- it lets us establish l<e e.
