@INPROCEEDINGS{EHS08,
  title = {{Type Systems for Bigraphs}},
  author = {{Ebbe} {Elsborg} and {Thomas} {Hildebrandt} and {Davide} {Sangiorgi}},
  booktitle = {Proc. of TGC'08},
  editor = {Christos Kaklamanis and Flemming Nielson},
  pages = {126-140},
  abstract = {We propose a novel and uniform approach to type systems for (process) calculi, which roughly pushes the challenge of designing type systems and proving properties about them to the meta-model of bigraphs. Concretely, we propose to define type systems for the term language for bigraphs, which is based on a fixed set of elementary bigraphs and operators on these. An essential elementary bigraph is an ion, to which a control can be attached modelling its kind (its ordered number of channels and whether it is a guard), e.g. an input prefix of p-calculus. A model of a calculus is then a set of controls and a set of reaction rules, collectively a bigraphical reactive system (BRS). Possible advantages of developing bigraphical type systems include: a deeper understanding of a type system itself and its properties; transfer of the type systems to the concrete family of calculi that the BRS models; and the possibility of modularly adapting the type systems to extensions of the BRS (with new controls). As proof of concept we present a model of a p-calculus, develop an i/o-type system with subtyping on this model, prove crucial properties (including subject reduction) for this type system, and transfer these properties to the (typed) p-calculus.},
  publisher = {Springer},
  series = {Lecture Notes in Computer Science},
  volume = {5474},
  year = {2008},
  doi = {10.1007/978-3-642-00945-7_8},
  invited = {N},
  partner = {UNIBO},
  status = {public},
  task = {T3.4},
}