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Formal Techniques for Distributed Systems: Joint 13th IFIP by Giuseppe Castagna (auth.), Roberto Bruni, Juergen Dingel

By Giuseppe Castagna (auth.), Roberto Bruni, Juergen Dingel (eds.)

This booklet constitutes the refereed complaints of the thirteenth IFIP WG 6.1 foreign convention on Formal tools for Open Object-Based disbursed platforms, FMOODS 2011, and the thirty first IFIP WG 6.1 Formal thoughts for Networked and allotted platforms, strong point 2011, held in Reykjavik, Island, in June 2011, as one of many DisCoTec 2011 occasions. The 21 revised complete papers provided including one invited speak have been conscientiously reviewed and chosen from sixty five submissions. the themes coated are formal verification, formal modeling and specification, run-time tracking, and trying out to deal with demanding situations in lots of varied software components, together with dynamic and advert hoc networks, cellular and adaptive computation, reactive and timed structures, enterprise strategies, and disbursed and concurrent platforms and algorithms.

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Additional resources for Formal Techniques for Distributed Systems: Joint 13th IFIP WG 6.1 International Conference, FMOODS 2011, and 30th IFIP WG 6.1 International Conference, FORTE 2011, Reykjavik, Iceland, June 6-9, 2011. Proceedings

Example text

Theorem 1 (observer-independent characterization). For each s and s states of L, W W ∗ ❁ s if and only if for every W ⊆ s∼ ⇒ ) ≤ μ s (s =⇒ ). fin Act , one has μ s (s = Proof: In the proof we will use the following facts (proofs can be found in [1, Appendix A]): W W (a) The set (s =⇒ ) is measurable in B s . In particular, if W is finite, one has (s =⇒ ) = D∈F sL : D is W-maximal BD . (b) Let L be a rplts, O be an observer and s, o be states of L and O, respectively. For L each U ∈ MO o define E s,U = {T ∈ M s | (T, U) ∈ sat(s, o)}.

A c e b d f Consider for instance G1 = (p −→ q; q −→ s; s −→ q) ∨ (p −→ r; r −→ s; s −→ r) g h i and G2 = r −→ s; s −→ r; s −→ q. end} can be obtained only from the interleaving r −→ s; G1 ; s −→ i r; s −→ q. The reason is that q and r receive messages only in one of the two branches On Global Types and Multi-party Sessions 19 of the ∨, so we need to compute the of their types in these branches with their types in the continuations. The example shows that to project G1 ∧ G2 it may be necessary to arbitrarily decompose one or both of G1 and G2 to find the particular interleaving of actions that can be projected.

Let us fix a generic rplts L = (S , δ, P) and take s ∈ S and any W ⊆ W w w Act∗ . We define (s =⇒ ) = {T ∈ MLs | T − → for some w ∈ W} and let (s = ⇒ ) stand for W (s =⇒ ) with W = {w}. Theorem 1 (observer-independent characterization). For each s and s states of L, W W ∗ ❁ s if and only if for every W ⊆ s∼ ⇒ ) ≤ μ s (s =⇒ ). fin Act , one has μ s (s = Proof: In the proof we will use the following facts (proofs can be found in [1, Appendix A]): W W (a) The set (s =⇒ ) is measurable in B s . In particular, if W is finite, one has (s =⇒ ) = D∈F sL : D is W-maximal BD .

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