Polymorphic Systems with Arrays, 2-Counter Machines and Multiset Rewriting

  • Authors:
  • Ranko Lazić;Tom Newcomb;Bill Roscoe

  • Affiliations:
  • Department of Computer Science, University of Warwick, UK;Computing Laboratory, University of Oxford, UK;Computing Laboratory, University of Oxford, UK

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2005

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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 reacha- bility problems on subclasses of PSAs.