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On the Construction of Sorted Reactive Systems

  • Lars Birkedal
  • Søren Debois
  • Thomas Hildebrandt
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5201)

Abstract

We develop a theory of sorted bigraphical reactive systems.

Every application of bigraphs in the literature has required an extension, a sorting, of pure bigraphs. In turn, every such application has required a redevelopment of the theory of pure bigraphical reactive systems for the sorting at hand. Here we present a general construction of sortings. The constructed sortings always sustain the behavioural theory of pure bigraphs (in a precise sense), thus obviating the need to redevelop that theory for each new application. As an example, we recover Milner’s local bigraphs as a sorting on pure bigraphs.

Technically, we give our construction for ordinary reactive systems, then lift it to bigraphical reactive systems. As such, we give also a construction of sortings for ordinary reactive systems. This construction is an improvement over previous attempts in that it produces smaller and much more natural sortings, as witnessed by our recovery of local bigraphs as a sorting.

Keywords

Reactive System Behavioural Theory Binding Signature Commutative Monoid Transition Semantic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Lars Birkedal
    • 1
  • Søren Debois
    • 1
  • Thomas Hildebrandt
    • 1
  1. 1.Programming, Logic and Semantics GroupIT University of Copenhagen 

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