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Difficulty: MediumDiagramming Conditional Statements

A cybersecurity firm's incident response protocol is governed by several conditional rules. To establish a valid deductive chain proving that 'If an anomaly is detected in the network, then the CEO must be notified,' arrange the following protocol rules in their correct logical sequence from the initial sufficient trigger to the final necessary outcome.

  1. 1Any detection of an anomaly in the network requires the initiation of a Level 1 diagnostic.
  2. 2A Level 1 diagnostic is not initiated unless the automated defense system triggers a full lockdown.
  3. 3The automated defense system triggering a full lockdown is sufficient to alert the CISO.
  4. 4The Chief Information Security Officer (CISO) is alerted only if the CEO is formally notified of the incident.

Answer

The correct deductive chain starts with the detection of an anomaly and ends with notifying the CEO, ordering the rules as follows: 1) Any detection of an anomaly... 2) A Level 1 diagnostic is not initiated unless... 3) The automated defense system... 4) The CISO is alerted only if...
The correct sequence translates the English rules into a continuous transitive chain: Anomaly -> Diagnostic -> Lockdown -> CISO -> CEO. Each step perfectly links the necessary condition of the previous statement as the sufficient condition of the next, utilizing proper translations for 'requires', 'unless', 'sufficient', and 'only if'.

Step-by-Step Solution

1
Identify the initial trigger from the prompt ('anomaly is detected') and find the rule that uses it as a sufficient condition.
Rule: 'Any detection of an anomaly... requires the initiation of a Level 1 diagnostic.' (Anomaly -> Diagnostic).
The prompt requires starting the chain with the anomaly detection. 'Requires' indicates the diagnostic is necessary.
2
Find the rule that uses the necessary condition from the first step (Diagnostic) as its sufficient condition.
Rule: 'A Level 1 diagnostic is not initiated unless the automated defense system triggers a full lockdown.' (Diagnostic -> Lockdown).
The logical translation of 'Not A unless B' is 'If A then B', which perfectly chains from the previous step.
3
Find the rule that uses the necessary condition from the second step (Lockdown) as its sufficient condition.
Rule: 'The automated defense system triggering a full lockdown is sufficient to alert the CISO.' (Lockdown -> CISO).
The word 'sufficient' explicitly marks the lockdown as the trigger for alerting the CISO.
4
Find the rule that concludes the chain with the final necessary outcome ('CEO must be notified').
Rule: 'The CISO is alerted only if the CEO is formally notified...' (CISO -> CEO).
The phrase 'only if' introduces the necessary condition, providing the final required outcome of the chain.

Key Concept

Translating formal logic indicators (requires, unless, sufficient, only if) to build multi-step conditional chains.
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Topics

Diagramming Conditional Statements

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