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Indexed Languages and Unification Grammars

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TLDR
A class of unification grammars is defined that exactly describes the class of indexed languages.
Abstract
Indexed languages are interesting in computational linguistics because they are the least class of languages in the Chomsky hierarchy that has not been shown not to be adequate to describe the string set of natural language sentences. We here define a class of unification grammars that exactly describe the class of indexed languages.

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Citations
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Logic in Computer Science.

Yuri Gurevich
TL;DR: The logic in computer science is one of the literary work in this world in suitable to be reading material and this book gives reference, but also it will show the amazing benefits of reading a book.
References
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Book

Introduction to Automata Theory, Languages, and Computation

TL;DR: This book is a rigorous exposition of formal languages and models of computation, with an introduction to computational complexity, appropriate for upper-level computer science undergraduates who are comfortable with mathematical arguments.
Journal ArticleDOI

Evidence Against the Context-Freeness of Natural Language

TL;DR: In searching for universal constraints on the class of natural languages, linguists have investigated a number of formal properties, including that of context-freeness, which is interpreted strongly and weakly both as a way of characterizing structure sets and even weakly for characterizing string sets.
Journal ArticleDOI

Indexed Grammars—An Extension of Context-Free Grammars

TL;DR: A new type of grammar for generating formal languages, called an indexed grammar, is presented, and the class of languages generated by indexed grammars has closure properties and decidability results similar to those for context-free languages.

Logic in Computer Science.

Yuri Gurevich
TL;DR: The logic in computer science is one of the literary work in this world in suitable to be reading material and this book gives reference, but also it will show the amazing benefits of reading a book.
Book ChapterDOI

Applicability of Indexed Grammars to Natural Languages

TL;DR: This chapter discusses the class of context-free phrase structure grammars, which has been alluded to a number of times in the recent linguistic literature: by Klein (1981) in connection with nested comparative constructions, by Dahl (1982) in connected with topicalised pronouns, by Engdahl ( 1982) and Gazdar (1982).
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