Watson–Crick context-free grammars: Grammar simplifications and a parsing algorithm

Watson–Crick context-free grammars: Grammar simplifications and a parsing algorithm

A Watson–Crick (WK) context-free grammar, a context-free grammar with productions whose right-hand sides contain nonterminals and double-stranded terminal strings, generates complete double-stranded strings under Watson–Crick complementarity. In this paper, we investigate the simplification processes...

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Bibliographic Details
Main Authors: Mohamad Zulkufli, Nurul Liyana, Turaev, Sherzod, Mohd Tamrin, Mohd Izzuddin, Messikh Azeddine, Azeddine
Format: Article
Language:English
English
English
Published: Oxford Academic 2018
Subjects:
QA Mathematics
QA75 Electronic computers. Computer science
Online Access:http://irep.iium.edu.my/61503/
http://irep.iium.edu.my/61503/
http://irep.iium.edu.my/61503/
http://irep.iium.edu.my/61503/1/Watson%E2%80%93Crick%20Context-Free%20Grammars-%20Grammar%20Simpli%EF%AC%81cations%20and%20a%20Parsing%20Algorithm.pdf
http://irep.iium.edu.my/61503/7/61503_Watson-crick%20context-free%20grammars%20Grammar%20simplifications%20and%20a%20parsing%20algorithm_scopus.pdf
http://irep.iium.edu.my/61503/12/61503_Watson-crick%20context-free%20grammars%20Grammar%20simplifications%20and%20a%20parsing%20algorithm_WOS.pdf
Description
Summary:A Watson–Crick (WK) context-free grammar, a context-free grammar with productions whose right-hand sides contain nonterminals and double-stranded terminal strings, generates complete double-stranded strings under Watson–Crick complementarity. In this paper, we investigate the simplification processes of Watson–Crick context-free grammars, which lead to defining Chomsky like normal form for Watson–Crick context-free grammars. The main result of the paper is a modified CYK (Cocke–Younger–Kasami) algorithm for Watson–Crick context-free grammars in WK-Chomsky normal form, allowing to parse double-stranded strings in O(n^6) time.

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