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Zorluk: ZorDiagramming Conditional Statements

A corporation can export restricted quantum processors only if it secures a Tier-1 license and undergoes a multilateral security review. Furthermore, securing a Tier-1 license requires that the corporation has no prior compliance violations. Finally, unless a corporation maintains a fully localized supply chain, it cannot undergo a multilateral security review.

If the statements above are true, which one of the following must be true?

  1. Any corporation that exports restricted quantum processors has no prior compliance violations and maintains a fully localized supply chain.Cevap
  2. B
    A corporation can export restricted quantum processors if it has no prior compliance violations and maintains a fully localized supply chain.
  3. C
    If a corporation has prior compliance violations, it cannot undergo a multilateral security review.
  4. D
    Unless a corporation undergoes a multilateral security review, it does not maintain a fully localized supply chain.
  5. E
    If a corporation cannot export restricted quantum processors, then it either has a prior compliance violation or lacks a fully localized supply chain.

Cevap

The correct answer states that any corporation exporting restricted quantum processors must have no prior compliance violations and must maintain a fully localized supply chain.
The stimulus establishes a clear chain of conditional dependencies. We are given that exporting restricted quantum processors requires two distinct things: a Tier-1 license and a multilateral security review. We are subsequently informed that a Tier-1 license requires having no prior compliance violations, and that a multilateral security review requires maintaining a fully localized supply chain. By chaining these requirements together, we can logically deduce that if a corporation actually exports the processors, it must successfully meet all of these underlying prerequisites. Therefore, it is definitively true that such a corporation has no prior compliance violations and maintains a fully localized supply chain.

Adım Adım Çözüm

1
Translate the first premise into formal logic.
Export (E) → Tier-1 License (T1) AND Multilateral Security Review (MSR).
The phrase 'only if' introduces necessary conditions. Both securing the license and undergoing the review are strictly required in order to export.
2
Translate the second premise into formal logic.
Tier-1 License (T1) → No Compliance Violations (No-V).
The word 'requires' indicates that having no prior violations is a necessary condition for obtaining the Tier-1 license.
3
Translate the third premise into formal logic.
Multilateral Security Review (MSR) → Localized Supply Chain (LSC).
The construct 'Unless A, B' translates to 'If not A, then B'. 'Unless localized supply chain (LSC), cannot undergo review (not MSR)' becomes 'If not LSC, then not MSR', which contraposes to 'MSR → LSC'.
4
Synthesize the conditional statements into a unified deductive chain.
E → (T1 AND MSR). Since T1 → No-V and MSR → LSC, substitution yields: E → (No-V AND LSC).
By applying the transitive property of conditional logic, if the sufficient condition (exporting) is met, all downstream necessary conditions must also be met.

Anahtar Kavram

Diagramming Conditional Statements and Formulating Transitive Chains
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Konular

Diagramming Conditional Statements

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