Audit Linearizability

Analyze the cache for linearizability violations. For each public method below, identify its LINEARIZATION POINT — the single atomic step at which the operation appears to take effect.

Methods to analyze:

Single-key operations:

• get(key), getIfPresent(key)
• put(key, value), putIfAbsent(key, value)
• remove(key), remove(key, value)
• replace(key, value), replace(key, oldValue, newValue)
• computeIfAbsent(key, function), compute(key, function), merge(key, value, function)

Bulk / aggregate operations:

• getAll(keys) / getAllPresent(keys)
• putAll(map)
• invalidateAll(keys) / invalidateAll()
• size(), containsKey(key), containsValue(value)

Note: Bulk operations are typically NOT linearizable as a unit. State whether each provides any atomicity beyond per-element linearizability.

For each method:

1. State the linearization point (e.g., "CAS on CHM bin at line X").
2. If conditional, enumerate all cases.
3. Construct a 2-thread scenario confirming the linearization point.

Then attempt to construct violations: 4. Can two threads observe operations in an inconsistent order?

• put(k, v1) / put(k, v2) / get(k): Can C see v2 then v1?