LARA

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sav07_lecture_3 [2007/03/22 16:20]
yuanjianwz
sav07_lecture_3 [2007/03/22 16:21]
yuanjianwz
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 Note: when proving our verification condition, instead of proving that semantics of relation implies error=false,​ it's same as proving that the formula for set sp(U,r) implies error=false,​ where U is the universal relation, or, in terms of formulas, computing the strongest postcondition of formula '​true'​. Note: when proving our verification condition, instead of proving that semantics of relation implies error=false,​ it's same as proving that the formula for set sp(U,r) implies error=false,​ where U is the universal relation, or, in terms of formulas, computing the strongest postcondition of formula '​true'​.
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   wp(Q, c1 ; c2) = wp(wp(Q,​c2),​c1)   wp(Q, c1 ; c2) = wp(wp(Q,​c2),​c1)
   wp(Q, havoc(x)) = ∀x.Q ​ (or introduce a fresh variable)   wp(Q, havoc(x)) = ∀x.Q ​ (or introduce a fresh variable)
-How to prove: wp(Q,c1 [] c2) = wp(Q,c1) ∧ wp(Q,c2)?+The idea to get : wp(Q,c1 [] c2) = wp(Q,c1) ∧ wp(Q,c2)
   CR(c1 [] c2) = CR(c1) ∨ CR(c2)   CR(c1 [] c2) = CR(c1) ∨ CR(c2)
   CR(c1 [] c2) -> error = false     ​(it'​s valid)   CR(c1 [] c2) -> error = false     ​(it'​s valid)