Abstract
In this paper we study the development of (algebraic) specifications. The main issues are the following: 1) We are able to work with "incomplete" specifications, i.e. specifications in which some objects (data sorts or operations) are not fully described. Technically, this is handled by means of loose semantics with data constraints. Two basic kinds of refinements are used or the specification building: horizontal and vertical refinements. Horizontal refinements are defined as loose extensions, whether vertical refinements are defined by means of refinement morphisms. The combination of both kinds of refinements (horizontal composition) provides a form of parameter passing, in fact the results obtained here generalize the results of the standard approach. A notion of relative persistency is introduced allowing to obtain full compatibility between the model and the specification level semantics for the kind of specification building operations used here. Moreover, proof-theoretic sufficient conditions are given for checking this property.
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5. References
Bergstra, J.A.; Broy, M.; Tucker, J.V.; Wirsing, M. On the power of algebraic specifications, Proc. MFCS 1981, Springer LNCS 118, pp. 193–204.
Burstall, R.M.; Goguen, J.A. The semantics of Clear, a specification language, in Abstract Software Specificatior, Springer LNCS 86, pp. 292–332, 1980.
Clerici, S.; Orejas, F. GSBL: an algebraic specification language based on inheritance, Proc. Europ. Conf. on Object Oriented Programming, (Oslo, 1988), Springer LNCS.
Ehrig, H. A categorical concept of constraints for algebraic specifications, T.U. Berlin November 1988.
Ehrig, H., Wagner, E.G. Thatcher, J.W. Algebraic constraints for specifications and canonical form results, Inst. für Soft. und Th. Informatik, T.U. Berlin Bericht 82-09, 1982.
Ehrig, H., Mahr, B.Fundamentals of algebraic specification 1, EATCS Monographs on Theor. Comp. Sc., Springer Verlag, 1985.
Ehrig, H., Thatcher, J.W., Lucas, P., Zilles, S.N. Denotational and initial algebra semantics of the algebraic specification language LOOK, Draft Rep., IBM Research, 1982.
Ganzinger, H. Parameterized specifications: parameter passing and implementation with respect to observability, TOPLAS 5,3 (1983), pp. 318–354.
Goguen, J.A., Burstall, R.M. CAT, a system for the structured elaboration of correct programs from structured specifications, Tech. Rep. CSL-118, SRI Int., 1980
Goguen, J.A., Meseguer, J. Order-sorted algebra I: partial and overloaded operations, errors and inheritance. Technical Report, SRI International, Computer Science Lab 1983.
MacQueen D.B., Sannella, D.T. Completeness of proof systems for equational specifications. IEEE Trans. on Software Engineering, SE-11(5), 454–461 (1985).
Meyer B. Genericity versus Inheritance, Proc. ACM Conf. Object-Oriented Programming Syst, Languages, and Applications, ACM, New York, 1986, pp. 391–405
Nivela, P.; Orejas, F. Initial behaviour semantics, in ‘Recent Trends in Algebraic Specification', D. Sannella, A. Tarlecki (eds.), Springer LNCS, 1988.
Orejas, F., Nivela, P., Ehrig, H. Categorical constructions for behavioural specifications, Dept. de LSI, Univ. Polit. de Catalunya, Barcelona 1988.
Reichel, H. Initially restricting algebraic theories, Proc. MFCS 80, Springer LNCS 88 (1980), pp. 504–514.
Sannella, D. A new semantics for Clear, Report CSR-79-8, Univ. of Edinburgh, 1981.
Sannella, D.; Tarlecki A. On observational equivalence and algebraic specification. J. Comp. and Sys. Sciences 34, pp. 150–178 (1987).
Sannella, D; Tarlecki A. Toward formal development of programs from algebraic specifications: implementations revisited. Proc. Joint Conf. on Theory and Practice of Software Development, Pisa, Springer LNCS 249, pp. 96–110 (1987).
Sannella, D; Wirsing, M. A kernel language for algebraic specification and implementation, Proc. FCT-83, Springer LNCS 158, pp. 413–427, 1983.
Wirsing, M., Pepper, P., Partsch, H., Dosch, W., Broy, M. On hierarchies of abstract data types, Acta Informatica 20 (1983), pp. 1–33.
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Orejas, F., Sacristán, V., Clerici, S. (1989). Development of algebraic specifications with constraints. In: Ehrig, H., Herrlich, H., Kreowski, H.J., Preuß, G. (eds) Categorical Methods in Computer Science With Aspects from Topology. Lecture Notes in Computer Science, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51722-7_7
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DOI: https://doi.org/10.1007/3-540-51722-7_7
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