By D. Huizinga, A. Kolawa

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We approached the proof of that conformance relation by simplifying the method schemas of the two classes to obtain “explicit” predicates. The figure at the bottom row of Table 2 shows the computation time to derive some simplified forms of the method schemas of SEQUENCE. Like for the precondition analyses in Table 1, the need to eliminate the numerous existential quantifications in the definition of the subclass calculator is responsible for the high cost of those simplifications. The performance figures of Table 2 indicate that the theory of subclass calculations that we sketched in Section 7 is suitable to handle the patterns of single inheritance that we identified in Section 6.

Thus, the two tactics establish behavioral conformance of BCls to ACls, and of CCls to BCls. An application of Theorem (2), the transitivity of behavioral conformance, completes the proof of conformance of CCls to ACls. 9 Conclusions We conclude with an evaluation of our work on the Eiffel Base Libraries. First, we discuss our experience with the libraries and their specification.. Then we draw some conclusions about the suitability of our framework for applying it to the libraries. The Eiffel Base Libraries.

Wilhelm, editors, European Symposium on Programming (ESOP’86), LNCS 213, pages 187–196. Springer-Verlag, 1986. 5. S. Helke. Maschinengest¨utzte Analyse der Untertypbeziehungen zwischen Klassen der Eiffel Datenstrukturbibliothek. Master’s thesis, Dept. of Computer Science, Technical University of Berlin, 1998. 6. C. B. Jones. Systematic Software Development using VDM. Prentice Hall, 2nd edition, 1990. 42 S. Helke and T. Santen 7. M. B. Josephs. The data refinement calculator for Z specifications.

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