@InProceedings{behr_et_al:LIPIcs.FSCD.2023.17, author = {Behr, Nicolas and Melli\`{e}s, Paul-Andr\'{e} and Zeilberger, Noam}, title = {{Convolution Products on Double Categories and Categorification of Rule Algebras}}, booktitle = {8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023)}, pages = {17:1--17:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-277-8}, ISSN = {1868-8969}, year = {2023}, volume = {260}, editor = {Gaboardi, Marco and van Raamsdonk, Femke}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2023.17}, URN = {urn:nbn:de:0030-drops-180017}, doi = {10.4230/LIPIcs.FSCD.2023.17}, annote = {Keywords: Categorical rewriting, double pushout, sesqui-pushout, double categories, convolution product, presheaf categories, framed bicategories, opfibrations, rule algebra} }