A Denotational Semantic Model for Validating JVML/CLDC Optimizations under Isabelle/HOL

The main intent of this paper is to present a semantic framework for the validation of JVML/CLDC optimizations. The semantic style of the framework is denotational and rests on an extension of the resource pomsets semantics of Gastin and Mislove [12]. The resource pomsets is a fully abstract semantic model that is based on true concurrency. However, it does not support non-determinism that emerges while interpreting JVML/CLDC programs. In this paper, we present an extension of this model that aims to support unbounded non-determinism. More precisely, we give an overview of the construction of the process space and exhibit its algebraic properties. The elaborated semantics is embedded in the proof assistant Isabelle [28] in order to validate optimizations of JVML/CLDC programs. A case study for the validation of some optimizations of JVML/CLDC programs is also presented. The studied optimizations are: constant propagation and dead assignment elimination.