New PDF release: B 2007: Formal Specification and Development in B: 7th

By J. Paul Gibson (auth.), Jacques Julliand, Olga Kouchnarenko (eds.)

ISBN-10: 3540687602

ISBN-13: 9783540687603

TheseproceedingsrecordthepaperspresentedattheSeventhInternationalC- ference of B clients (B 2007), held within the urban of Besan¸ con within the east of France. This convention used to be equipped at the luck of the former six meetings during this sequence, B 1996, held on the collage of Nantes, France; B 1998, held on the collage of Montpellier, France; ZB 2000, held on the college of York, united kingdom; ZB 2002, held on the collage of Grenoble, France; ZB 2003, held on the U- versity of Turku, Finland; ZB 2005 held on the college of Surrey, Guildford, united kingdom. B 2007 was once held in January on the collage of Franche-Comt´ e,Besan¸ con, France, hosted by way of the pc technology division (LIFC). LIFC has continuously put specific emphasis at the applicability of its examine and its relati- send with business companions. during this context, it created in 2003 an organization referred to as LEIRIOS applied sciences, which produces an automated try out generator software (LTG) frommodels defined within the B speci?cationlanguage. different participants of LIFC paintings on extensions of the B approach for specifying and verifying dynamic houses. all of the submitted papers in those court cases have been peer reviewed through no less than 3 reviewers drawn from the B committee, counting on the subject material of the paper. The authorsof the papersforB 2007werefrom Australia,Canada, Finland, Germany, France, Switzerland, and the united kingdom. The convention featured a rangeof contributions via unique invited audio system drawn from either ind- try to academia.

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Additional resources for B 2007: Formal Specification and Development in B: 7th International Conference of B Users, Besançon, France, January 17-19, 2007. Proceedings

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S INNER is step-consistent: this follows from the definition of stepconsistency on process variables. 2. Stop All → S CTRL2 is step-consistent: this follows since S CTRL2 is step-consistent and init (S CTRL2) = {Go Moat , Go Square, Stop All } = {Go Moat , Go Square} ∪ {Stop All } = next (Stop All ) ∪ from-any(Lights) 3. init (Stop All → S CTRL2) ⊆ from-any(Lights). This follows from the fact that init (Stop All → S CTRL2) = {Stop All } and that Stop All has a from-any annotation. Thus we conclude that Lights CTRL2 is an appropriate controller for the machine Lights.

P. C. Henson, and K. Robinson, editors, ZB2002: Formal Specification and Development in Z and B, number 2272 in Lecture Notes in Computer Science, pages 270–290. Springer, 2002. 7. B. C. Morgan. Data refinement of predicate transformers. Theoretical Computer Science, 87:143–162, 1991. 8. B. C. Morgan. A single complete rule for data refinement. Formal Aspects of Computing, 5:367–382, 1993. 9. R. Hehner. Bunch theory: a simple set theory for computer science. Information Processing Letters, 12(1):26–30, 1981.

Pod(M ) =⇒ m . m ∈ u | m := m ] Q ≡ { ESL semantics from Table 4 } ∀ u . pod(M ) ⇒ ∃ m . m ∈ u ∧ Q m /m ⇔ [M ] Q 30 ≡ ≡ ≡ ≡ ≡ ≡ ≡ ≡ S. Dunne { defn of pod(M ) } ∀ u . ¬ [M ] m ∈ / u ⇒ ∃ m . m ∈ u ∧ Q m /m { logic } ∀ u . [M ] m ∈ / u ∨ ∃ m . m ∈ u ∧ Q m /m { specialise u as {m | ¬ Q } } [M ] m ∈ / {m | ¬ Q } ∨ ∃ m . m ∈ {m | ¬ Q } ∧ Q m /m { set theory } [M ] Q ∨ ∃ m . m ∈ {m | ¬ Q } ∧ Q m /m { change name of bound variable } [M ] Q ∨ ∃ m . m ∈ {m | ¬ Q} ∧ Q { set theory } [M ] Q ∨ ∃ m . ¬ Q ∧ Q { logic } [M ] Q ∨ ∃ m .

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B 2007: Formal Specification and Development in B: 7th International Conference of B Users, Besançon, France, January 17-19, 2007. Proceedings by J. Paul Gibson (auth.), Jacques Julliand, Olga Kouchnarenko (eds.)


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