TY - CHAP TI - Counterpart semantics for a second-order mu-calculus T3 - Lecture Notes in Computer Science N2 - We propose a novel approach to the semantics of quantified ?-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. EP - 297 A1 - Gadducci, Fabio A1 - Lluch-Lafuente, Alberto A1 - Vandin, Andrea T2 - Graph Transformations (ICGT 2010) PB - Springer SN - 978-3-642-15927-5 N1 - © Springer-Verlag Berlin Heidelberg 2010. The final publication is available at www.springerlink.com. ED - Ehrig, Hartmut ED - Rensink, Arend ED - Rozenberg, Grzegorz ED - Schürr, Andy UR - http://dx.doi.org/10.1007/978-3-642-15928-2_19 M1 - 6372 AV - public Y1 - 2010/// SP - 282 ID - eprints143 KW - Quantified ?-calculi KW - counterpart semantics KW - graph transformation. ER -