Abstract
Graph languages are sets of labeled graphs. They can be generated by graph grammars, and in particular by context-free graph grammars. There are several types of context-free graph grammars, depending, e.g., on whether (hyper)edges or nodes are rewritten by graphs. Basic properties of the main types of context-free graph grammars are discussed. Other, equivalent, ways of defining context-free graph languages are: generating graph expressions by regular tree grammars, and translating trees into graphs by formulas of monadic second-order logic. Context-free graph grammars can be used to generate string languages and tree languages.
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