Counterpart semantics for a second-order µ-calculus

  • Authors:
  • Fabio Gadducci;Alberto Lluch Lafuente;Andrea Vandin

  • Affiliations:
  • Department of Computer Science, University of Pisa, Italy;IMT Institute for Advanced Studies Lucca, Italy;IMT Institute for Advanced Studies Lucca, Italy

  • Venue:
  • ICGT'10 Proceedings of the 5th international conference on Graph transformations
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

We propose a novel approach to the semantics of quantified µ-calculi, considering models where states are algebras; the evolution relation is given by a counterpart relation (a family of partial homomorphisms), allowing for the creation, deletion, and merging of components; and formulas are interpreted over sets of state assignments (families of substitutions, associating formula variables to state components). Our proposal avoids the limitations of existing approaches, usually enforcing restrictions of the evolution relation: the resulting semantics is a streamlined and intuitively appealing one, yet it is general enough to cover most of the alternative proposals we are aware of.