Spatial logics for bigraphs

  • Authors:
  • Giovanni Conforti;Damiano Macedonio;Vladimiro Sassone

  • Affiliations:
  • Università di Pisa;Università Ca’ Foscari di Venezia;University of Sussex

  • Venue:
  • ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

Bigraphs are emerging as an interesting model for concurrent calculi, like CCS, pi-calculus, and Petri nets. Bigraphs are built orthogonally on two structures: a hierarchical place graph for locations and a link (hyper-)graph for connections. With the aim of describing bigraphical structures, we introduce a general framework for logics whose terms represent arrows in monoidal categories. We then instantiate the framework to bigraphical structures and obtain a logic that is a natural composition of a place graph logic and a link graph logic. We explore the concepts of separation and sharing in these logics and we prove that they generalise some known spatial logics for trees, graphs and tree contexts.