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Duration Calculus

Duration Calculus

Duration Calculus

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Example: Gas Burner<br />

Requirement<br />

Design decisions<br />

ℓ ≥ 60 ⇒ 20 L ≤ ℓ<br />

( ⌈L ⌉ ⇒ ℓ ≤ 1)<br />

(( ⌈L ⌉ ⌢ ⌈¬L ⌉ ⌢ ⌈L ⌉) ⇒ ℓ ≥ 30)<br />

where ℓ denotes the length of the interval, and<br />

♦φ = true ⌢ φ ⌢ true “for some sub-interval: φ”<br />

φ = ¬♦¬φ “for all sub-intervals: φ”<br />

⌈P ⌉ = P = ℓ ∧ ℓ > 0 “P holds throughout a non-point interval”<br />

Tallinn, November 17- 21, Michael R. Hansen – p.8/29

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