A Rewriting Calculus for Multigraphs with Ports
Author(s) -
Oana Andrei,
Claude Kirchner
Publication year - 2008
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2008.10.035
Subject(s) - multigraph , rewriting , confluence , graph rewriting , encode , graph , mathematics , relation (database) , term (time) , computer science , discrete mathematics , programming language , biology , biochemistry , physics , quantum mechanics , database , gene
In this paper, we define labeled multigraphs with ports, a graph model which specifies connection points for nodes and allows multiple edges and loops. The dynamic evolution of these structures is expressed with multigraph rewrite rules and a multigraph rewriting relation. Then we encode the multigraphs and multigraph rewriting using algebraic terms and term rewriting to provide an operational semantics of the multigraph rewriting relation. This term version can be embedded in the rewriting calculus, thus defining for labeled multigraph transformations a high-level pattern calculus, called ρmg-calculus
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