Displaying similar documents to “Classifying spaces of categories and term rewriting.”

Adhesive and quasiadhesive categories

Stephen Lack, Paweł Sobociński (2005)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We introduce adhesive categories, which are categories with structure ensuring that pushouts along monomorphisms are well-behaved, as well as quasiadhesive categories which restrict attention to regular monomorphisms. Many examples of graphical structures used in computer science are shown to be examples of adhesive and quasiadhesive categories. Double-pushout graph rewriting generalizes well to rewriting on arbitrary adhesive and quasiadhesive categories.