Dependency structures and lexicalized grammars : an algebraic approach

This book develops a formal theory of dependency structures and shows how combining them with a regular means of composition yields copious hierarchies of ever more powerful dependency languages. It also classifies several relevant grammatical formalisms.

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Main Author Kuhlmann, Marco
Format eBook Book
LanguageEnglish
Published Berlin, Heidelberg Springer 2010
Springer Berlin / Heidelberg
Springer Berlin Heidelberg
Edition1
SeriesLecture Notes in Computer Science
Subjects
Online AccessGet full text
ISBN9783642145674
3642145671
364214568X
9783642145681
ISSN0302-9743
1611-3349
DOI10.1007/978-3-642-14568-1

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Abstract This book develops a formal theory of dependency structures and shows how combining them with a regular means of composition yields copious hierarchies of ever more powerful dependency languages. It also classifies several relevant grammatical formalisms.
AbstractList This book develops a formal theory of dependency structures and shows how combining them with a regular means of composition yields copious hierarchies of ever more powerful dependency languages. It also classifies several relevant grammatical formalisms.
Since 2002, FoLLI has awarded an annual prize for outstanding dissertations in the fields of Logic, Language and Information. This book is based on the PhD thesis of Marco Kuhlmann, joint winner of the E.W. Beth dissertation award in 2008. Kuhlmann's thesis lays new theoretical foundations for the study of non-projective dependency grammars. These grammars are becoming increasingly important for approaches to statistical parsing in computational linguistics that deal with free word order and long-distance dependencies. The author provides new formal tools to define and understand dependency grammars, presents two new dependency language hierarchies with polynomial parsing algorithms, establishes the practical significance of these hierarchies through corpus studies, and links his work to the phrase-structure grammar tradition through an equivalence result with tree-adjoining grammars. The work bridges the gaps between linguistics and theoretical computer science, between theoretical and empirical approaches in computational linguistics, and between previously disconnected strands of formal language research.
Author Kuhlmann, Marco
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ISBN 9783642145674
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ISSN 0302-9743
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Notes Based on thesis (Ph.D.)--Saarland University, 2008
Includes bibliographical references (p. [127]-134) and index
OCLC 663096297
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Snippet This book develops a formal theory of dependency structures and shows how combining them with a regular means of composition yields copious hierarchies of ever...
Since 2002, FoLLI has awarded an annual prize for outstanding dissertations in the fields of Logic, Language and Information. This book is based on the PhD...
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SubjectTerms Artificial Intelligence
Computational linguistics
Computer Science
Datorlingvistik
HUMANIORA och RELIGIONSVETENSKAP
HUMANITIES and RELIGION
Language technology
Languages and linguistics
Linguistic subjects
Lingvistikämnen
Mathematical linguistics
Språkteknologi
Språkvetenskap
TableOfContents Title Page -- Foreword -- Preface -- Contents -- Introduction -- Motivation -- Dependency Structures -- Generative Capacity and Non-projectivity -- Lexicalized Grammars Induce Dependency Trees -- Overview of the Book -- Dependency Structures -- Dependency Languages -- Contributions -- Preliminaries -- Projective Dependency Structures -- Projectivity -- Projectivity in the Sense of Harper and Hays -- Projectivity in the Sense of Lecerf and Ihm -- Projectivity in the Sense of Fitialov -- Related Work -- Algebraic Framework -- Tree Traversal Strategies -- Traversal of Treelet-Ordered Trees -- Order Annotations -- Dependency Algebras -- Algorithmic Problems -- Encoding and Decoding -- Testing whether a Dependency Structure Is Projective -- Related Work -- Empirical Evaluation -- The Projectivity Hypothesis -- Experimental Setup -- Results and Discussion -- Related Work -- Dependency Structures of Bounded Degree -- The Block-Degree Measure -- Blocks and Block-Degree -- A Hierarchy of Non-projective Dependency Structures -- Related Work -- Algebraic Framework -- Traversal of Block-Ordered Trees -- Segmented Dependency Structures -- Order Annotations -- Dependency Structure Algebras -- Algorithmic Problems -- Encoding -- Computing the Block-Degree of a Dependency Structure -- Empirical Evaluation -- Dependency Structures without Crossings -- Weakly Non-projective Dependency Structures -- Definition of Weak Non-projectivity -- Relation to the Block-Degree Measure -- Algebraic Opaqueness -- Related Work -- Well-Nested Dependency Structures -- Definition of Well-Nestedness -- Non-crossing Partitions -- Algebraic Characterization -- Testing whether a Dependency Structure Is Well-Nested -- Related Work -- Empirical Evaluation -- Structures and Grammars -- Context-Free Grammars -- Definition -- String Semantics -- Linearization Semantics
Dependency Semantics -- Linear Context-Free Rewriting Systems -- Definition -- String Semantics -- Non-essential Concatenation Functions -- Linearization Semantics -- Dependency Semantics -- Related Work -- Coupled Context-Free Grammars -- Definition -- String Semantics -- Dependency Semantics -- Related Work -- Tree Adjoining Grammar -- Definition -- Linearization Semantics -- Related Work -- Summary -- Regular Dependency Languages -- Regular Sets of Dependency Structures -- Algebraic Recognizability -- Elementary Properties -- Regular Term Grammars -- Regular Dependency Grammars -- Dependency Languages and Lexicalized Grammars -- Pumping Lemmata -- The Pumping Lemma for Regular Term Languages -- Ogden's Lemma for Regular Term Languages -- Constant Growth -- Constant Growth and Semilinearity -- Regular Term Languages Are Semilinear -- Related Work -- Generative Capacity and Parsing Complexity -- Projection of String Languages -- Labelled Dependency Structures -- String-Generating Regular Dependency Grammars -- String-Generative Capacity -- String Languages and Structural Properties -- Masked Strings -- Enforcing a Given Block-Degree -- Enforcing Ill-Nestedness -- Hierarchies of String Languages -- Related Work -- Parsing Complexity -- Membership Problems -- The Standard Membership Problem -- The Uniform Membership Problem -- Recognition of Well-Nested Languages -- Related Work -- Conclusion -- Main Contributions -- Future Directions -- Development of the Formalism -- Linguistic Relevance -- Applications to Parsing -- An Algebraic Perspective on Grammar Formalisms -- References -- Index
Title Dependency structures and lexicalized grammars : an algebraic approach
URI https://cir.nii.ac.jp/crid/1130000795323657472
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