Abstract
This paper presents an approach to prove event ordering properties for B specifications of information systems. The properties are expressed using the EB 3 notation, where input event ordering properties are defined using a process algebra similar to CSP and output events are specified by recursive functions on the input traces associated to the process expression. By proving that the EB 3 specification is refined by the B specification, using the B theory of refinement, we ensure that both specifications accept and refuse exactly the same event traces. The proof relies on an extended labeled transition system, generated using the operational semantics of the process algebra, in order to deal with unbounded systems. The gluing invariant is generated from the EB 3 recursive functions.
This paper is dedicated to the memory of Philippe Facon, our friend and colleague, who contributed to this work. The research described in this paper was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC).
Part of this research was conducted while Marc Frappier was visiting the Institut d’Informatique d’Entreprise, Conservatoire National des Arts et Métiers, Évry, France.
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Frappier, M., Laleau, R. (2003). Proving Event Ordering Properties for Information Systems. In: Bert, D., Bowen, J.P., King, S., Waldén, M. (eds) ZB 2003: Formal Specification and Development in Z and B. ZB 2003. Lecture Notes in Computer Science, vol 2651. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44880-2_25
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DOI: https://doi.org/10.1007/3-540-44880-2_25
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