Deriving Bisimulation Congruences: 2-Categories vs. Precategories


  • Vladimiro Sassone
  • Pawel Sobocinski



G-relative pushouts (GRPOs) have recently been proposed by the authors as a new foundation for Leifer and Milner's approach to deriving labelled bisimulation congruences from reduction systems. This paper develops the theory of GRPOs further, arguing that they provide a simple and powerful basis towards a comprehensive solution. As an example, we construct GRPOs in a category of `bunches and wirings.' We then examine the approach based on Milner's precategories and Leifer's functorial reactive systems, and show that it can be recast in a much simpler way into the 2-categorical theory of GRPOs.




How to Cite

Sassone, V., & Sobocinski, P. (2003). Deriving Bisimulation Congruences: 2-Categories vs. Precategories. BRICS Report Series, 10(1).