eprintid: 143 rev_number: 18 eprint_status: archive userid: 30 dir: disk0/00/00/01/43 datestamp: 2011-03-31 10:44:27 lastmod: 2016-07-13 09:46:04 status_changed: 2011-03-31 10:44:27 type: book_section metadata_visibility: show item_issues_count: 0 creators_name: Gadducci, Fabio creators_name: Lluch-Lafuente, Alberto creators_name: Vandin, Andrea creators_id: creators_id: alberto.lluch@imtlucca.it creators_id: andrea.vandin@imtlucca.it title: Counterpart semantics for a second-order mu-calculus ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Quantified μ-calculi, counterpart semantics, graph transformation. note: © Springer-Verlag Berlin Heidelberg 2010. The final publication is available at www.springerlink.com. 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. date: 2010 date_type: published series: Lecture Notes in Computer Science volume: 6372 publisher: Springer pagerange: 282-297 id_number: 10.1007/978-3-642-15928-2_19 refereed: TRUE isbn: 978-3-642-15927-5 book_title: Graph Transformations (ICGT 2010) editors_name: Ehrig, Hartmut editors_name: Rensink, Arend editors_name: Rozenberg, Grzegorz editors_name: Schürr, Andy official_url: http://dx.doi.org/10.1007/978-3-642-15928-2_19 funders: Supported by the MIUR Project SisteR. citation: Gadducci, Fabio and Lluch-Lafuente, Alberto and Vandin, Andrea Counterpart semantics for a second-order mu-calculus. In: Graph Transformations (ICGT 2010). Lecture Notes in Computer Science, 6372 . Springer, pp. 282-297. ISBN 978-3-642-15927-5 (2010) document_url: http://eprints.imtlucca.it/143/1/gaducci_lluch-lafuente_vandin2010a.pdf