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DLT
2010
13 years 6 months ago
Fast Parsing for Boolean Grammars: A Generalization of Valiant's Algorithm
Abstract. The well-known parsing algorithm for the context-free grammars due to Valiant ("General context-free recognition in less than cubic time", Journal of Computer a...
Alexander Okhotin
JACM
2002
83views more  JACM 2002»
13 years 4 months ago
Fast context-free grammar parsing requires fast boolean matrix multiplication
In 1975, Valiant showed that Boolean matrix multiplication can be used for parsing contextfree grammars (CFGs), yielding the asympotically fastest (although not practical) CFG par...
Lillian Lee
ACL
1997
13 years 6 months ago
Fast Context-Free Parsing Requires Fast Boolean Matrix Multiplication
Valiant showed that Boolean matrix multiplication (BMM) can be used for CFG parsing. We prove a dual result: CFG parsers running in time O([Gl[w[3-e) on a grammar G and a string w...
Lillian Lee
IJFCS
2006
132views more  IJFCS 2006»
13 years 4 months ago
Generalized Lr Parsing Algorithm for Boolean Grammars
The generalized LR parsing algorithm for context-free grammars is extended for the case of Boolean grammars, which are a generalization of the context-free grammars with logical c...
Alexander Okhotin
ACTA
2007
114views more  ACTA 2007»
13 years 4 months ago
Recursive descent parsing for Boolean grammars
The recursive descent parsing method for the context-free grammars is extended for their generalization, Boolean grammars, which include explicit set-theoretic operations in the f...
Alexander Okhotin