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Astera Technology

Bound possible target effects from uncertain write outcomes

Use known and unknown effects to test a supplied operating cap without assuming absent responses mean absent writes.

Fix the per-attempt effect model

Synthetic attempts W1/W2 each have one confirmed target effect; W3 has confirmed rejection with zero effect; W4/W5 each has an unknown outcome, either zero or one effect. No attempt can create more than one effect in this supplied model. Next operating phase requires the existing target-effect total to be at most three. No retry or target-search implementation is supplied.

Target-effect input bounds
AttemptsMinimum effectsMaximum effects
W1,W2 known applied22
W3 known rejected00
W4,W5 unknown02
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Enumerate possible effect totals

  1. Add confirmed effects
  2. Enumerate unknown zero/one choices
  3. Compare greatest possible total with three

Unknown outcomes cannot be forced to zero merely to make the cap pass.

What is the possible effect range, and is the at-most-three condition established?

Show the worked answer

Two to four effects. The four W4/W5 combinations give totals2,3,3,4. At-most-three is not established because four remains possible; this does not prove four actually occurred. Calling W3/W4/W5 all not applied would misclassify the two unknown outcomes.

Test the cap against the full range

Filled decision checks
CaseDecisionReason
W4=0,W5=0Total2; within capPossible lower bound
W4=1,W5=0Total3; within capOne unknown applies
W4=0,W5=1Total3; within capOther unknown applies
W4=1,W5=1Total4; exceeds capPossible upper bound
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The operating decision remains unestablished until effect evidence narrows the range enough to satisfy the supplied cap. Use the existing uncertain-write procedure to obtain evidence; this calculation does not choose a replay action.

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