Cache Coherency · All levels
Directory Capacity and Sharer Scaling: Theory Deep Dive
Theory Deep Dive for Directory Capacity and Sharer Scaling.
Theory deep dive
Theory Deep Dive for Directory Capacity and Sharer Scaling explains how to reason from coherency invariant to measurable engineering decision.
The core theory is that coherency is a distributed consistency contract. Every optimization must preserve legal visibility and progress under adversarial interleavings.
Canonical flow
COHERENCY DECISION FLOW — Directory Capacity and Sharer Scaling
request intent (read/shared/unique/writeback/evict)
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v
ownership check + sharer metadata evaluation
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v
snoop / directory action + ordering gate
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v
data source selection (owner forward vs memory)
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state transition + acknowledgment closure
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metric validation + regression guardrailsCache coherency deep dive
Cache coherence is a correctness contract across caches, interconnect, and software ordering.
Concept diagram
requester -> coherence fabric -> owner or memory -> state updateMetric graph
traffic mix across request, snoop, response, dataMetrics and artifacts to collect
coherence latency
invalidation rate
retry rate
stale-read incidents
Mini case study
Anchor debug to first stale read and the exact line state transition.
Debug branches
Track ownership
Track ordering
Track evidence
Senior review question
Ask: what is the first line state transition that deviates, and which ordering rule does it break?
Key takeaways
Tie every coherency claim to one cache line, one transaction identity, and one measurable counter.
Keep proof artifacts from simulation and silicon replay aligned by address, state, and ordering event.
Common pitfalls
Chasing bandwidth regressions without checking false sharing and line bouncing first.
Assuming coherence correctness implies memory consistency correctness.
Declaring closure without litmus, stress, and post-silicon replay evidence.