New PDF release: Leveraging applications of formal methods, verification and

By Tiziana Margaria-Steffen; Bernhard Steffen

ISBN-10: 3540884785

ISBN-13: 9783540884781

ISBN-10: 3540884793

ISBN-13: 9783540884798

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The program P cpens Q runs P first. If its execution fails, then Q is invoked as its compensation. , bn → (P cpens Q))fi (5) (P Q) cpens R = (P cpens R) (6) P cpens (Q R) = (P cpens Q) (Q cpens R) (P cpens R) (7) (v := e; P ) cpens Q = (v := e); (P cpens Q) Proof: Let B =df (f orward ∧ ¬ef lag). (1) RHS = H(H(P ; ψ(Q)); ψ(R)) = H(B ; H(P ; ψ(Q)); ψ(R)) {Def of cpens} {Def of H} {Q ✁ f alse ✄ P = P } = H(P ; ψ(Q); ψ(R)) {ψ(Q; ψ(R) = ψ(Q; φ(R))} = H(P ; ψ(Q; ψ(R))) {ψ(Q) = ψ(H(Q))} = H(P ; ψ(H(Q; ψ(R)))) = LHS {Def of cpens} 24 H.

A first order logic expression involving variables). An event is fired when its guard evaluates to true. The semantics of the effect of the initialisation and the events occurring in a B model on states so described thanks to generalized substitutions. Generalized substitutions are based on the weakest precondition calculus of Dijkstra [7]. Formally, several substitutions are defined in B. If we consider a substitution S and a predicate P representing a post-condition, then [S]P represents the weakest precondition that establishes P after execution of S.

Att I is an inverse attribute of entity A, corresponding to the inverse link defined by attribute att 3 in entity B. Entities may have instances. Each entity has an identifier. The attribute values are either literal values of the EXPRESS simple or structured built-in types or they are references to other entity instances. b). 0, att 2 is the list (’hello’, ’bye’) and att 3 points the particular instance #1 of the entity A where its att A attribute evaluates to 3. ] OF ST RIN G; att I : B FOR att 3; att 3 : A; END ENTITY; END ENTITY; END SCHEMA; Fig.

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Leveraging applications of formal methods, verification and validation by Tiziana Margaria-Steffen; Bernhard Steffen


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