Deriving bisimulation congruences using 2-categories

  • Authors:
  • Vladimiro Sassone;Paweł Sobociński

  • Affiliations:
  • COGS, University of Sussex, Falmer, Brighton BN1 9QH, United Kingdom;BRICS, University of Aarhus, Department of Computer Science, Ny Munkegade, building 540, DK-8000 Århus C, Denmark

  • Venue:
  • Nordic Journal of Computing
  • Year:
  • 2003

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Abstract

We introduce G-relative-pushouts (GRPO) which are a 2-categorical generalisation of relative-pushouts (RPO). They are suitable for deriving labelled transition systems (LTS) for process calculi where terms are viewed modulo structural congruence. We develop their basic properties and show that bisimulation on the LTS derived via GRPOs is a congruence, provided that sufficiently many GRPOs exist. The theory is applied to a simple subset of CCS and the resulting LTS is compared to one derived using a procedure proposed by Sewell.