
Which modal axiom corresponds semantically to serial frames (every world accesses some world)?
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Get StartedWhich modal axiom corresponds semantically to serial frames (every world accesses some world)?
Options:
- D: □p → ◇p
- T: □p → p
- 4: □p → □□p
- 5: ◇p → □◇p
Correct answer: D: □p → ◇p
Explanation: Axiom D (□p → ◇p) enforces seriality, the frame condition ∀w ∃v R(w,v). This semantic requirement guarantees every world has at least one R-successor in the model.
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