In computer science, graph transformation, or graph rewriting, concerns the technique of creating a new graph out of an original graph algorithmically. It has numerous applications, ranging from software engineering (software construction and also software verification) to layout algorithms and picture generation.
Graph transformations can be used as a computation abstraction. The basic idea is that if the state of a computation can be represented as a graph, further steps in that computation can then be represented as transformation rules on that graph. Such rules consist of an original graph, which is to be matched to a subgraph in the complete state, and a replacing graph, which will replace the matched subgraph.
Formally, a graph rewriting system usually consists of a set of graph rewrite rules of the form , with being called pattern graph (or left-hand side) and being called replacement graph (or right-hand side of the rule). A graph rewrite rule is applied to the host graph by searching for an occurrence of the pattern graph (pattern matching, thus solving the subgraph isomorphism problem) and by replacing the found occurrence by an instance of the replacement graph. Rewrite rules can be further regulated in the case of labeled graphs, such as in string-regulated graph grammars.
Sometimes graph grammar is used as a synonym for graph rewriting system, especially in the context of formal languages; the different wording is used to emphasize the goal of constructions, like the enumeration of all graphs from some starting graph, i.e. the generation of a graph language – instead of simply transforming a given state (host graph) into a new state.
computer science, graph transformation, or graphrewriting, concerns the technique of creating a new graph out of an original graph algorithmically. It...
logic, rewriting covers a wide range of methods of replacing subterms of a formula with other terms. Such methods may be achieved by rewriting systems...
types of graphs, is studied in the field of graphrewriting. The nomenclature term graph is associated with the field of term graphrewriting, which involves...
as: Graph rewriting, technique of creating a new graph out of an original graph algorithmically Sender Rewriting Scheme, a scheme for rewriting the envelope...
computer science, a single pushout graphrewriting or SPO graphrewriting refers to a mathematical framework for graphrewriting, and is used in contrast to...
computer science, double pushout graphrewriting (or DPO graphrewriting) refers to a mathematical framework for graphrewriting. It was introduced as one of...
mapped to a directed graph data structure in computer memory, and program execution then consists of rewriting parts of this graph ("reducing" it) so as...
defines reduction on configurations in more details than seen from graphrewriting defined on interaction nets. Namely, if α [ v 1 , … , v m ] ⋈ β [ w...
nets are a special subclass of linear graph grammars in which rewriting is confluent. Bawden introduces linear graphs in the context of a compiler for a...
short film Great (supermarket), a supermarket in Hong Kong GReAT, GraphRewriting and Transformation, a Model Transformation Language Gang Resistance...
construction via parsing. The phrase "term graphrewriting" is often used when discussing graphrewriting methods for transforming expressions in formal...
GraphRewriting and Transformation (GReAT) is a Model Transformation Language (MTL) for Model Integrated Computing available in the GME environment. GReAT...
In the mathematical field of graph theory, a graph homomorphism is a mapping between two graphs that respects their structure. More concretely, it is a...
to gliders in the Game of Life. Graphrewriting automata are extensions of cellular automata based on graphrewriting systems. The simplest nontrivial...
science, an attributed graph grammar is a class of graph grammar that associates vertices with a set of attributes and rewrites with functions on attributes...
Subgraph matching is also a substep in graphrewriting (the most runtime-intensive), and thus offered by graphrewrite tools. The problem is also of interest...
GraphQL is an open-source data query and manipulation language for APIs and a query runtime engine. GraphQL enables declarative data fetching where a...
SPO-Based GraphRewriting Tool/[1] - ICGT 06 Generation of Sierpinski Triangles: A Case Study for Graph Transformation Tools - AGTIVE 07 GraphRewriting for...
from one form to another is called a "rewriting" of that formula. One can study the abstract properties of rewriting generic formulas, by studying the collection...
under active development) and to the JVM GrGen.NET A CLI language for graphrewriting IronRuby An open-source CLI implementation of Ruby, built on the Dynamic...
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