Graph parsing with s-graph grammars

A key problem in semantic parsing with graph-based semantic representations is graph parsing, i.e. computing all possible analyses of a given graph according to a grammar. This problem arises in training synchronous string-to-graph grammars, and when generating strings from them. We present two algorithms for graph parsing (bottom-up and top-down) with s-graph grammars. On the related problem of graph parsing with hyperedge replacement grammars, our implementations outperform the best previous system by several orders of magnitude.