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Duration Calculus

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Induction rule: Intuition<br />

• H( ⌈ ⌉) H holds on point intervals<br />

• H( ⌈ ⌉ ∨ n<br />

i=1 ⌈Si ⌉)<br />

• H( ⌈ ⌉ ∨ n<br />

i=1 ⌈Si ⌉ ∨ n<br />

i=1<br />

H holds on intervals with at most 0 state changes<br />

n<br />

j=1 ⌈Si ⌉ ⌢ ⌈Sj ⌉)<br />

H holds on intervals with at most 1 state change<br />

• ... H holds on intervals with at most n state change<br />

H(true) H holds on any interval<br />

Tallinn, November 17- 21, Michael R. Hansen – p.13/29

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