Implicit and Explicit Operations Sample Clauses

Implicit and Explicit Operations. T Both kinds of operation are interpreted as methods whose bodies are UTP designs. The designs assume the precondition and invariant holds, and commits to establishing the post condition and preserving the invariant. An explicit operation additionally encapsulates the semantics of the operation body in the post condition. Therefore, an explicit operation whose body does not satisfy the postcondition or violates the invariant is equivalent to the miraculous design D . This is a strong interpretation of the use of invariants and postconditions in the semantics, and in practical terms it may be unnecessarily restrictive. For example, we could alternatively prove that the operation satisfies its obligations, rather than asserting that it does. Nevertheless, since this is a safe use of the assertional formulas we retain the strong semantics. s opn(x : T ...x : T ) r : U {C,asn  res r.: U ; val x1Σ: T1.· · · xn : Tn Σ n n pre Pre post Post provided opn ƒ= C = ^ opd meth C opn  • Pre ¢ ¢exp ¢ ¢exp  ∧ I(C) Post € ∧ I(C)j) ˛ ¸ , opn : (T1 × Tn) =⇒ U ,C,asn  res RESULT : U ; val x1 : T1 · · · xn :Tn  Body ∧ € opn(x1...xn) == Body pre Pre post Post = meth C opn Pre exp • ∧ I(C)  ¢Post ¢prg   opd ¢ ¢exp . ¢ Σ¢ ^ provided opn ƒ= C ∧ I(C)j) T
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