Double-pushout hypergraph rewriting through free completions

A relationship between double-pushout rewriting of total and partial hypergraphs is established by means of free completions. Given a double-pushout transformation rule P of total hypergraphs, a corresponding double-pushout transformation rule P' of partial subhypergraphs can be found a priori...

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Bibliographic Details
Authors: Burmeister, P, Rosselló, F, Valiente Feruglio, Gabriel Alejandro|||0000-0001-9194-2703
Format: report
Publication Date:1996
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/83155
Online Access:https://hdl.handle.net/2117/83155
Access Level:Open access
Keyword:Hypergraphs
Double-pushout
Graph transformation
Algebraic graph transformation
Àrees temàtiques de la UPC::Informàtica
Description
Summary:A relationship between double-pushout rewriting of total and partial hypergraphs is established by means of free completions. Given a double-pushout transformation rule P of total hypergraphs, a corresponding double-pushout transformation rule P' of partial subhypergraphs can be found a priori such that double-pushout derivations by the application of P are free completions of double-pushout derivations by the application of P'. It allows a more efficient double-pushout rewriting of total hypergraphs by rewriting suitable partial hypergraphs and freely completing the resulting partial hypergraphs. The main results in this paper are actually established in the more general setting of hierarchical unary algebras.