Spatial Organization of the Chemical Paradigm and the Specification of Autonomic Systems

  • Authors:
  • Jean-Louis Giavitto;Olivier Michel;Antoine Spicher

  • Affiliations:
  • IBISC FRE 3190 CNRS, Université d'Evry, Genopole, Evry, France 91000;IBISC FRE 3190 CNRS, Université d'Evry, Genopole, Evry, France 91000 and LACL EA 4213 Université Paris 12 (Paris Est), Créteil, France 94010;LACL EA 4213 Université Paris 12 (Paris Est), Créteil, France 94010 and LORIA UMR 7503 INRIA, CNRS, INPL, UHP, Nancy 2, Vandoeuvre-lès-Nancy Cedex, France 54506

  • Venue:
  • Software-Intensive Systems and New Computing Paradigms
  • Year:
  • 2008

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Abstract

The chemical paradigm is an unconventional programming paradigm well fitted to the high-level specification of parallel systems . Based on the fixed point iterations of local rules, its use has been advocated for the programming of autonomic and amorphous systems . However, this model lacks an explicit handling of spatial relationships . In this contribution, we first show how the chemical paradigm can be extended beyond multisets to arbitrary topological collections . Topological collections handle in a uniform way sophisticated data structures required in algorithmics as well as distributed data structures needed for the programming of autonomic or amorphous systems. Then we adapt a well-known result on multiset ordering to the more general case of topological collections. Well-founded ordering on topological collection can be used to prove the termination of the fixed point iteration of local rules.