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Author Ginsburg, Seymour ♦ Lynch, Nancy
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1976
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Grammar forms are compared for their efficiency in representing languages, as measured by the sizes (i.e. total number of symbols, number of variable occurrences, number of productions, and number of distinct variables) of interpretation grammars. For every regular set, right- and left-linear forms are essentially equal in efficiency. Any form for the regular sets provides, at most, polynomial improvement over right-linear form. Moreover, any polynomial improvement is attained by some such form, at least on certain languages. Greater improvement for some languages is possible using forms expressing larger classes of languages than the regular sets. However, there are some languages for which no improvement over right-linear form is possible.While a similar set of results holds for forms expressing exactly the linear languages, only linear improvement can occur for forms expressing all the context-free languages.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1976-10-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 23
Issue Number 4
Page Count 17
Starting Page 582
Ending Page 598


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Source: ACM Digital Library