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- Title
Construction and Properties of Adhesive and Weak Adhesive High-Level Replacement Categories.
- Authors
Ulrike Prange; Hartmut Ehrig; Leen Lambers
- Abstract
Abstract As presented in Ehrig et al. (Fundamentals of Algebraic Graph Transformation, EATCS Monographs, Springer, 2006), adhesive high-level replacement (HLR) categories and systems are an adequate framework for several kinds of transformation systems based on the double pushout approach. Since (weak) adhesive HLR categories are closed under product, slice, coslice, comma and functor category constructions, it is possible to build new (weak) adhesive HLR categories from existing ones. But for the general results of transformation systems, as additional properties initial pushouts, binary coproducts compatible with a special morphism class and a pair factorization are needed to obtain the full theory. In this paper, we analyze under which conditions these additional properties are preserved by the categorical constructions in order to avoid checking these properties explicitly.
- Subjects
CONSTRUCTION industry; CONSTRUCTION materials; BUILDING material manufacturing; STRENGTH of materials
- Publication
Applied Categorical Structures, 2008, Vol 16, Issue 3, p365
- ISSN
0927-2852
- Publication type
Article
- DOI
10.1007/s10485-007-9106-3