Title
Rewriting Abstract Structures - Materialization Explained Categorically.
Abstract
The paper develops an abstract (over-approximating) semantics for double-pushout rewriting of graphs and graph-like objects. The focus is on the so-called materialization of left-hand sides from abstract graphs, a central concept in previous work. The first contribution is an accessible, general explanation of how materializations arise from universal properties and categorical constructions, in particular partial map classifiers, in a topos. Second, we introduce an extension by enriching objects with annotations and give a precise characterization of strongest post-conditions, which are effectively computable under certain assumptions.
Year
DOI
Venue
2019
10.1007/978-3-030-17127-8_10
FoSSaCS
DocType
Volume
Citations 
Journal
abs/1902.04809
0
PageRank 
References 
Authors
0.34
13
5
Name
Order
Citations
PageRank
Andrea Corradini1110890.63
Tobias Heindel215612.93
Barbara König322518.40
Dennis Nolte401.01
Arend Rensink5119393.96