By Ivan Lanese, Eric Madelaine
This ebook constitutes revised chosen papers from the overseas Symposium on Formal facets of part software program, FACS 2014, held in Bertinoro, Italy, in September 2014.
The 20 complete papers awarded during this quantity have been conscientiously reviewed and chosen from forty four submissions. they're prepared in topical sections named: compositional techniques; version and evolution; program and adventure; instruments; scheduling, time and hybrid structures; different verification methods and safeguard and liveness of composition. the amount additionally includes invited talks, one complete paper and one abstract.
Read or Download Formal Aspects of Component Software: 11th International Symposium, FACS 2014, Bertinoro, Italy, September 10-12, 2014, Revised Selected Papers PDF
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Extra resources for Formal Aspects of Component Software: 11th International Symposium, FACS 2014, Bertinoro, Italy, September 10-12, 2014, Revised Selected Papers
5. Overview of the proof of Theorem 1, with main steps (1) to (5) Theorem 1. Let W T = (N, I, O, SP T , pre, post, C, W ) be a correct workﬂow template over a template ontology KT , KD a domain ontology such that KT f KD with a mapping f = (fC , fP ), and let πf : SP T → SVC D be a concretion of service placeholders in the template with services of the domain ontology. If RD |= πf (C) then πf (W ) is correct with respect to πf (pre) and πf (post). Figure 5 gives an overview of the proof. First, we select a structure which satisﬁes the concretized constraints of the template (1).
If a template and a composition are typed over the same ontology, we can conclude from the deﬁnitions that they have the same semantics. 44 S. Walther and H. Wehrheim Lemma 2. Let W T be a template with workﬂow W , and π : SP K → SVC K be an instantiation with services over ontology K. Then the following holds: ∀ logical structures S : [[ W ]]πS = [[ π(W ) ]]S . From the semantics and correctness deﬁnitions above, and assuming that the template is already proven correct, we state the following: To prove correctness of a service composition, it is suﬃcient to show that the instantiated constraints of the template can be derived from the rules of the domain ontology.
34 S. Walther and H. Wehrheim – if ϕ1 , ϕ2 ∈ ΦK then ¬ϕ1 ∈ ΦK and ϕ1 ∨ ϕ2 ∈ ΦK , – if ϕ ∈ ΦK then ∀x : ϕ ∈ ΦK and ∃x : ϕ ∈ ΦK . As usual, we write free(F ) to denote the free and bound (F ) for the bound variables of a formula F . The meaning of ﬁrst-order logic is usually deﬁned with respect to a logical structure. A logical structure ﬁxes the universe out of which elements of the types are taken as well as an interpretation of the predicate and function symbols. Definition 3. Let K be an ontology with types TK , predicate symbols PK , and function symbols FK .