Design of One-Dimensional Systolic Array for Recognition of Context-Free Language

Context-Free 언어의 인식을 위한 일차원 시스토릭 어레이의 설계

Context-free language can be recognized by Cocke-Younger-Kasami algorithm. This algorithm is a class of polyadic-nonserial dynamic programming technique and has the O(n**3) time complexity. In this paper, a one-dimensional systolic array for recognition of context-free language is designed. The designed triangle type two-dimensional array is projected and transformed to an one-dimensional array. The designed one-dimensional array has n processing elements and \ulcornern+1)/2\ulcorner(n-1)+3n-1 time units to process the algorithm (n is the length of input string). The time complexity is O(n\ulcorner.