Modular Semantics and Logics of Classes

Reus, Bernhard (2003) Modular Semantics and Logics of Classes. In: 12th Annual Conference of the European-Association-for-Computer-Logic/8th Kurt Godel Colloquium/17th International Workshop on Computer Science Logic, Vienna, Austria.

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Abstract

The semantics of class-based languages can be defined in terms of objects only [1, 7, 8] if classes are viewed as objects with a constructor method. One obtains a store in which method closures are held together with field values. Such a store is also called "higher-order" and does not come for free [13]. It is much harder to prove properties of such stores and as a consequence (soundness of) programming logics can become rather contrived (see [2]). A simpler semantics separates methods from the object store [4,12]. But again, there is a drawback. Once the semantics of a package of classes is computed it is impossible to add other classes in a compositional way. Modular reasoning principles are therefore not obtainable either. In this paper we improve a simple class-based semantics to deal with extensions compositionally and derive modular reasoning principles for a logic of classes. The domain theoretic reasoning principle behind this is fixpoint induction. Modularity is obtained by endowing the denotations of classes with an additional parameter that accounts for those classes added "later at linkage time." Local class definitions (inner classes) are possible but for dynamic class-loading one cannot do without higher-order store.

Item Type: Conference or Workshop Item (Paper)
Schools and Departments: School of Engineering and Informatics > Informatics
Depositing User: Bernhard Reus
Date Deposited: 06 Feb 2012 20:13
Last Modified: 07 Jun 2012 15:43
URI: http://sro.sussex.ac.uk/id/eprint/24762
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