Fuzzy context-free languages. Part 2: Recognition and parsing algorithms

In a companion paper [P.R.J. Asveld, Fuzzy context-free languagesPart 1: Generalized fuzzy context-free grammars, Theoret. Comput. Sci., (2005).] we used fuzzy context-free grammars in order to model grammatical errors resulting in erroneous inputs for robust recognizing and parsing algorithms for fuzzy context-free languages. In particular, this approach enables us to distinguish between small errors (tiny mistakes) and big errors (-capital blunders).\ud \ud In this paper, we present some algorithms to recognize fuzzy context-free languages: particularly, a modification of Cocke-Younger-Kasami's algorithm and some recursive descent algorithms. Then we extend these recognition algorithms to corresponding parsing algorithms for fuzzy context-free languages. These parsing algorithms happen to be robust in some very elementary sense.\u