Title
Hypergrammars: An extension of macrogrammars
Abstract
A new class of generative grammars called hypergrammars is introduced. They are described as a natural extension of Fischer's macrogrammars. Three modes of derivation, inside-out, outside-in, and unrestricted are considered, and the classes of languages so defined are compared with other known classes. It is shown that the outside-in hyper-languages are the same as the outside-in macrolanguages but that inside-out hyperlanguages are the same as Fischer's quoted languages. Various closure properties are considered as well as generalizations of the original definitions. Three new hierarchies of languages each embedded in the class of quoted languages are discovered. It is claimed that this new approach to Fischer's work is more understandable and also mathematically elegant.
Year
DOI
Venue
1977
10.1016/S0022-0000(77)80043-3
Journal of Computer and System Sciences
Field
DocType
Volume
Rule-based machine translation,Discrete mathematics,Combinatorics,Computer science,Generalization,New class,Generative grammar,Hierarchy
Journal
14
Issue
ISSN
Citations 
1
0022-0000
3
PageRank 
References 
Authors
0.60
4
1
Name
Order
Citations
PageRank
V.J. Rayward-Smith11205.89