Treffer: Under consideration for publication in Formal Aspects of Computing An Extensible Encoding of Object-oriented Data Models in HOL with an Application to IMP++

We present an extensible encoding of object-oriented data models into higher-order logic (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.