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Research Report CS-RR-399

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Ranko Lazic, Tom Newcomb and Bill Roscoe, Polymorphic Systems with Arrays: Decidability and Undecidability, (April 23, 2004).

Abstract

Polymorphic systems with arrays (PSAs) is a general class of nondeterministic reactive systems. A PSA is polymorphic in the sense that it depends on a signature, which consists of a number of type variables, and a number of symbols whose types can be built from the type variables. Some of the state variables of a PSA can be arrays, which are functions from one type to another. We present several new decidability and undecidability results for parameterised control-state reachability problems on subclasses of PSAs.

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