An Extensible Encoding of Object-oriented Data Models in HOL

by Achim D. Brucker and Burkhart Wolff

Cover for brucker.ea:extensible:2008-b.We present an extensible encoding of object-oriented data models into HOL. Our encoding is supported by a datatype package that leverages the use of the shallow embedding technique to object-oriented specification and programming languages. The package incrementally compiles an object-oriented data model, i.e., a class model, to a theory containing object-universes, constructors, accessor functions, coercions (casts) between dynamic and static types, characteristic sets, and co-inductive class invariants. The package is conservative, i.e., all properties are derived entirely from constant definitions, including the constraints over object structures. As an application, we use the package for an object-oriented core-language called IMP++, for which we formally prove the correctness of a Hoare-Logic with respect to a denotational semantics.

Keywords: object-oriented data models, HOL, theorem proving, verification
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QR Code for brucker.ea:extensible:2008-b.Please cite this article as follows:
Achim D. Brucker and Burkhart Wolff. An Extensible Encoding of Object-oriented Data Models in HOL. In Journal of Automated Reasoning, 41, pages 219-249, 2008.
Keywords: object-oriented data models, HOL, theorem proving, verification
(full text as PDF file) (BibTeX) (Endnote) (RIS) (Word) (doi:10.1007/s10817-008-9108-3) (Share article on LinkedIn. Share article on CiteULike. )

BibTeX
@Article{ brucker.ea:extensible:2008-b,
abstract = {We present an extensible encoding of object-oriented data models into HOL. Our encoding is supported by a datatype package that leverages the use of the shallow embedding technique to object-oriented specification and programming languages. The package incrementally compiles an object-oriented data model, i.e., a class model, to a theory containing object-universes, constructors, accessor functions, coercions (casts) between dynamic and static types, characteristic sets, and co-inductive class invariants. The package is conservative, i.e., all properties are derived entirely from constant definitions, including the constraints over object structures. As an application, we use the package for an object-oriented core-language called IMP++, for which we formally prove the correctness of a Hoare-Logic with respect to a denotational semantics.},
address = {Heidelberg},
author = {Achim D. Brucker and Burkhart Wolff},
doi = {10.1007/s10817-008-9108-3},
issn = {0168-7433},
issue = {3},
journal = {Journal of Automated Reasoning},
keywords = {object-oriented data models, HOL, theorem proving, verification},
language = {USenglish},
pages = {219--249},
pdf = {https://www.brucker.ch/bibliography/download/2008/brucker.ea-extensible-2008-b.pdf},
publisher = {Springer-Verlag},
title = {An Extensible Encoding of Object-oriented Data Models in {HOL}},
url = {https://www.brucker.ch/bibliography/abstract/brucker.ea-extensible-2008-b},
volume = {41},
year = {2008},
}