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Deriving Bisimulation Congruences in the DPO Approach to Graph Rewriting (Long Version)

contributor FMI, Sichere und Zuverlässige Softwaresysteme
E-Mail an
creator Ehrig, Hartmut
König, Barbara
date 2004-02
description 30 pages
Motivated by recent work on the derivation of labelled transitions and bisimulation congruences from unlabelled reaction rules, we show how to solve this problem in the DPO (double-pushout) approach to graph rewriting. Unlike in previous approaches, we consider graphs as objects, instead of arrows, of the category under consideration. This allows us to present a very simple way of deriving labelled transitions (called rewriting steps with borrowed context) which smoothly integrates with the DPO approach, has a very constructive nature and requires only a minimum of category theory. The core part of this paper is the proof sketch that the bisimilarity based on rewriting with borrowed contexts is a congruence relation.
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identifier  http://www.informatik.uni-stuttgart.de/cgi-bin/NCSTRL/NCSTRL_view.pl?id=TR-2004-01&engl=1
language eng
publisher Stuttgart, Germany, Universität Stuttgart
relation Technical Report No. 2004/01
source ftp://ftp.informatik.uni-stuttgart.de/pub/library/ncstrl.ustuttgart_fi/TR-2004-01/TR-2004-01.pdf
subject Semantics of Programming Languages (CR F.3.2)
Grammars and Other Rewriting Systems (CR F.4.2)
Specifying and Verifying and Reasoning about Programs (CR F.3.1)
Discrete Mathematics Graph Theory (CR G.2.2)
graph rewriting
graph transformation
bisimulation
transition systems
title Deriving Bisimulation Congruences in the DPO Approach to Graph Rewriting (Long Version)
type Text
Technical Report