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Semantics, Calculi, and Analysis for Object-oriented Specifications

by Achim D. Brucker and Burkhart Wolff

Cover for brucker.ea:semantics:2009.We present a formal semantics for an object-oriented specification language. The formal semantics is presented as a conservative shallow embedding in Isabelle/HOL and the language is oriented towards OCL formulae in the context of UML class diagrams. On this basis, we formally derive several equational and tableaux calculi, which form the basis of an integrated proof environment including automatic proof support and support for the analysis of this type of specifications.

We show applications of our proof environment to data refinement based on an adapted standard refinement notion. Thus, we provide an integrated formal method for refinement-based object-oriented development.

Keywords: UML, OCL, object-oriented specification, refinement, formal methods
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QR Code for brucker.ea:semantics:2009.Please cite this article as follows:
Achim D. Brucker and Burkhart Wolff. Semantics, Calculi, and Analysis for Object-oriented Specifications. In Acta Informatica, 46 (4), pages 255-284, 2009.
Keywords: UML, OCL, object-oriented specification, refinement, formal methods
(full text as PDF file) (BibTeX) (Endnote) (RIS) (Word) (doi:10.1007/s00236-009-0093-8) (Share article on LinkedIn. Share article on CiteULike. )

BibTeX
@Article{ brucker.ea:semantics:2009,
abstract = {We present a formal semantics for an object-oriented specification language. The formal semantics is presented as a conservative shallow embedding in Isabelle/HOL and the language is oriented towards OCL formulae in the context of UML class diagrams. On this basis, we formally derive several equational and tableaux calculi, which form the basis of an integrated proof environment including automatic proof support and support for the analysis of this type of specifications.\\\\We show applications of our proof environment to data refinement based on an adapted standard refinement notion. Thus, we provide an integrated formal method for refinement-based object-oriented development.},
address = {Heidelberg},
author = {Achim D. Brucker and Burkhart Wolff},
doi = {10.1007/s00236-009-0093-8},
issn = {0001-5903},
journal = {Acta Informatica},
keywords = {UML, OCL, object-oriented specification, refinement, formal methods},
language = {USenglish},
month = {jul},
number = {4},
pages = {255--284},
pdf = {https://www.brucker.ch/bibliography/download/2009/brucker.ea-semantics-2009.pdf},
publisher = {Springer-Verlag},
title = {Semantics, Calculi, and Analysis for Object-oriented Specifications},
url = {https://www.brucker.ch/bibliography/abstract/brucker.ea-semantics-2009},
volume = {46},
year = {2009},
}