Cache Transition Systems for Graph Parsing
Abstract
Motivated by the task of semantic parsing, we describe a transition system that generalizes standard transition-based
 dependency parsing techniques to generate a graph rather than a
 tree. Our system includes a cache with fixed size m, and we
 characterize the relationship between the parameter m and the
 class of graphs that can be produced through the
 graph-theoretic concept of tree decomposition. We find
 empirically that over 99% of Abstract Meaning Representation
 (AMR) graphs can be built with a cache size of seven, and the
 average cache size needed is 2.80.