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Subobject transformation systems

Corradini, Andrea, Hermann, Frank and Sobocinski, Pawel (2008) Subobject transformation systems Applied Categorical Structures, 16, (3), pp. 389-419. (doi:10.1007/s10485-008-9127-6).

Record type: Article

Abstract

Subobject transformation systems (STS) are proposed as a novel formal framework for the analysis of derivations of transformation systems based on the algebraic, double-pushout (DPO) approach. They can be considered as a simplified variant of DPO rewriting, acting in the distributive lattice of subobjects of a given object of an adhesive category. This setting allows a direct analysis of all possible notions of dependency between any two productions without requiring an explicit match. In particular, several equivalent characterizations of independence of productions are proposed, as well as a local Church-Rosser theorem in the setting of STS. Finally, we show how any derivation tree in an ordinary DPO grammar leads to an STS via a suitable construction and show that relational reasoning in the resulting STS is sound and complete with respect to the independence in the original derivation tree.

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More information

e-pub ahead of print date: 20 February 2008
Published date: 2008
Additional Information: Imported from ISI Web of Science
Keywords: graph transformation systems, adhesive categories, occurrence grammars
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 268962
URI: http://eprints.soton.ac.uk/id/eprint/268962
ISSN: 0927-2852
PURE UUID: 69f809a8-4dc2-4f72-aa64-a9cecbd4a894

Catalogue record

Date deposited: 21 Apr 2010 07:46
Last modified: 18 Jul 2017 06:51

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Contributors

Author: Andrea Corradini
Author: Frank Hermann
Author: Pawel Sobocinski

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