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Issue RAIRO-Theor. Inf. Appl.
Volume 39, Number 3, July-September 2005
Foundations of Software Science and Computer Structures (FOSSACS'04)
Page(s) 511 - 545
DOI 10.1051/ita:2005028

Theoret. Informatics Appl. 39, 511-545 (2005)
DOI: 10.1051/ita:2005028

Adhesive and quasiadhesive categories

Stephen Lack1 and Pawel Sobocinski2

1  School of Quantitative Methods and Mathematical Sciences, University of Western Sydney, Australia.
2  BRICS, University of Aarhus, Denmark; pawel@brics.dk


Abstract
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.


Mathematics Subject Classification. 18A30, 18A35, 18D99, 68Q42, 68Q65

Key words: Adhesive categories -- quasiadhesive categories -- extensive categories -- category theory -- graph rewriting


© EDP Sciences 2005


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