eprintid: 159 rev_number: 8 eprint_status: archive userid: 30 dir: disk0/00/00/01/59 datestamp: 2011-03-07 14:27:54 lastmod: 2011-07-11 14:34:34 status_changed: 2011-03-07 14:27:54 type: book_section metadata_visibility: show item_issues_count: 0 creators_name: Baldan, Paolo creators_name: Corradini, Andrea creators_name: König, Barbara creators_name: Lluch-Lafuente, Alberto creators_id: creators_id: creators_id: creators_id: alberto.lluch@imtlucca.it title: A Temporal Graph Logic for Verification of Graph Transformation Systems ispublished: pub subjects: QA75 divisions: CSA full_text_status: none note: The final publication is available at www.springerlink.com. abstract: We extend our approach for verifying properties of graph transformation systems using suitable abstractions. In the original approach properties are specified as formulae of a propositional temporal logic whose atomic predicates are monadic second-order graph formulae. We generalize this aspect by considering more expressive logics, where edge quantifiers and temporal modalities can be interleaved, a feature which allows, e.g., to trace the history of objects in time. This requires the use of graph transition systems, a generalization of transition systems where states and transitions are mapped to graphs and graph morphisms, respectively, and of a corresponding notion of abstraction. After characterizing fragments of the logic which can be safely checked on the approximations, we show how the verification of the logic over graph transformation systems can be reduced to the verification of a logic over suitably defined Petri nets. date: 2006 date_type: published series: Lecture Notes in Computer Science volume: 4409 publisher: Springer pagerange: 1-20 id_number: 10.1007/978-3-540-71998-4_1 refereed: TRUE isbn: 978-3-540-71997-7 book_title: Recent Trends in Algebraic Development Techniques (WADT’06) editors_name: Luiz Fiadeiro, José editors_name: Schobbens, Yves official_url: http://dx.doi.org/10.1007/978-3-540-71998-4_1 funders: Research partially supported by the EU IST-2004-16004 SEnSOria, the MIUR PRIN 2005015824 ART, the DFG project SANDS and CRUI/DAAD Vigoni “Models based on Graph Transformation Systems: Analysis and Verification”. citation: Baldan, Paolo and Corradini, Andrea and König, Barbara and Lluch-Lafuente, Alberto A Temporal Graph Logic for Verification of Graph Transformation Systems. In: Recent Trends in Algebraic Development Techniques (WADT’06). Lecture Notes in Computer Science, 4409 . Springer, pp. 1-20. ISBN 978-3-540-71997-7 (2006)