We lift the notion of nested application conditions from graph transformation systems to the general categorical setting of reactive systems as defined by Leifer and Milner. This serves two purposes: first, we enrich the formalism of reactive systems by adding application conditions for rules; second, it turns out that some constructions for graph transformation systems (such as computing weakest preconditions and strongest postconditions and showing local confluence by means of critical pair analysis) can be done very elegantly in the more general setting.
@InProceedings{bruggink_et_al:LIPIcs.FSTTCS.2011.191, author = {Bruggink, H. J. Sander and Cauderlier, Rapha\"{e}l and H\"{u}lsbusch, Mathias and K\"{o}nig, Barbara}, title = {{Conditional Reactive Systems}}, booktitle = {IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)}, pages = {191--203}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-34-7}, ISSN = {1868-8969}, year = {2011}, volume = {13}, editor = {Chakraborty, Supratik and Kumar, Amit}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2011.191}, URN = {urn:nbn:de:0030-drops-33257}, doi = {10.4230/LIPIcs.FSTTCS.2011.191}, annote = {Keywords: reactive systems, graph transformation, graph logic, Hoare triples, critical pair analysis} }
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