A fully abstract model for a nonuniform concurrent language with parameterization and locality

  • Eiichi Horita
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 666)


Full abstraction of a denotational model w.r.t. operational ones for a concurrent language L is investigated. The language is nonuniform in that the meaning of atomic statements generally depends on the current state; it has parameterization with channel- and value-parameters and locality in the form of local variables and local channels, in addition to more conventional constructs: value assignments to variables, parallel composition with CSP/CCS-like communication, nondeterministic choice, and recursion. First two operational models OL and O L * for L are introduced in terms of a Plotkin-style transition system. Both models are linear in that they map each statement to the set of its possible execution paths of a certain kind; the second model O L * is more abstract than the first one in that O L * ignores states while OL involves them. Then a denotational model D is defined compositionally using interpreted operations of the language, with meanings of recursive programs as fixed points in an appropriate complete metric space. The the full abstraction of D w.r.t. OL and O L * established. That is, it is shown for O=OL, O L * that D is most abstract of those models C which are compositional and more distinctive than O.


domain equations metric spaces concurrency imperative languages denotational semantics operational semantics correctness full abstraction linear time branching time parameterization local variables local channels 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Eiichi Horita
    • 1
  1. 1.NTT Software LaboratoriesTokyoJapan

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