TY - GEN
T1 - Counterpart semantics for a secondorder mu-calculus
AU - Gadducci, Fabio
AU - Lluch Lafuente, Alberto
AU - Vandin, Andrea
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
U2 - 10.1007/978-3-642-15928-2_19
DO - 10.1007/978-3-642-15928-2_19
M3 - Article in proceedings
SN - 978-3-642-15927-5
T3 - Lecture Notes in Computer Science
SP - 282
EP - 297
BT - Graph Transformations
PB - Springer Berlin Heidelberg
T2 - 5th International Conference on Graph Transformation
Y2 - 27 September 2010 through 2 October 2010
ER -