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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities Stefan M¨ uller Ivan A. Sag Theoretical Linguistics/Computational Linguistics Linguistics & CSLI Fachbereich 10 Stanford University Universit¨ at Bremen [email protected] sag at csli dot stanford dot edu July 2, 2007

Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

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Page 1: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Introduction to HPSGClass 1: Clause Structure, Hierarchical Organization of

Knowledge, Lexical Regularities

Stefan Muller Ivan A. Sag

Theoretical Linguistics/Computational Linguistics Linguistics & CSLI

Fachbereich 10 Stanford University

Universitat Bremen

[email protected] sag at csli dot stanford dot edu

July 2, 2007

Page 2: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Course Page and Material

• Web page with the slides and handouts of the three lectures:http://hpsg.stanford.edu/LSA07/

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 1/55

Page 3: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Course Page and Material

• Web page with the slides and handouts of the three lectures:http://hpsg.stanford.edu/LSA07/

• The analyses are implemented.A CD rom image which contains the grammar development softwareand example grammars for German, Chinese, and Maltese can bedownloaded from:http://www.cl.uni-bremen.de/Software/Grammix/

If you have a writable CD, we can burn it here.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 1/55

Page 4: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Outline of the Whole Course

Class 1 Feature structures, the linguistic sign,basic clause structures, phrasal projection,the hierarchical organization of lexical and phrasal information.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 2/55

Page 5: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Outline of the Whole Course

Class 1 Feature structures, the linguistic sign,basic clause structures, phrasal projection,the hierarchical organization of lexical and phrasal information.

Class 2 Lexical regularities,constituent order variation (within and across languages),complex predicates via ’argument composition’.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 2/55

Page 6: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Outline of the Whole Course

Class 1 Feature structures, the linguistic sign,basic clause structures, phrasal projection,the hierarchical organization of lexical and phrasal information.

Class 2 Lexical regularities,constituent order variation (within and across languages),complex predicates via ’argument composition’.

Class 3 The feature-based analysis of long distance dependencies(in cross-linguistic perspective), island constraints.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 2/55

Page 7: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Outline

• Motivation & Psychological Reality

• General Overview of the Framework

• Valency

• Head Argument Structures

• Semantics

• Hierarchical Organization of Knowledge

Page 8: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Motivation & Psychological Reality

Motivations for HPSG

Motivations for HPSG

• Increased Precision

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 3/55

Page 9: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Motivation & Psychological Reality

Motivations for HPSG

Motivations for HPSG

• Increased Precision

• Framework for Integration

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 3/55

Page 10: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Motivation & Psychological Reality

Motivations for HPSG

Motivations for HPSG

• Increased Precision

• Framework for Integration

• Declarative, Constraint Satisfaction System

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 3/55

Page 11: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Motivation & Psychological Reality

Motivations for HPSG

Motivations for HPSG

• Increased Precision

• Framework for Integration

• Declarative, Constraint Satisfaction System

• Grammars that Scale Up

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 3/55

Page 12: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Motivation & Psychological Reality

Motivations for HPSG

Motivations for HPSG

• Increased Precision

• Framework for Integration

• Declarative, Constraint Satisfaction System

• Grammars that Scale Up

• Grammars that Can be Implemented

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 3/55

Page 13: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Motivation & Psychological Reality

Motivations for HPSG

Motivations for HPSG

• Increased Precision

• Framework for Integration

• Declarative, Constraint Satisfaction System

• Grammars that Scale Up

• Grammars that Can be Implemented

• Psycholinguistic Plausibility

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 3/55

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Motivation & Psychological Reality

Psychological Reality

Important Moments in the History of Linguistics

Important Moments in the History of Linguistics – I

Chomsky (1968) speaking of early psycholinguistic findings in relation tothe ‘derivational theory of complexity’ (DTC):

The results show a remarkable correlation of the amount of memoryand number of transformations. (Chomsky, 1968)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 4/55

Page 15: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Motivation & Psychological Reality

Psychological Reality

Important Moments in the History of Linguistics

Important Moments in the History of Linguistics – II

Fodor, Bever and Garrett (1974):

Experimental investigations of the psychological reality of linguisticstructural descriptions have [. . . ] proved quite successful.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 5/55

Page 16: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Motivation & Psychological Reality

Psychological Reality

Important Moments in the History of Linguistics

Important Moments in the History of Linguistics – III

Fodor, Bever and Garrett (1974):

Investigations of DTC...have generally proved equivocal. This arguesagainst the occurrence of grammatical derivations in thecomputations involved in sentence recognition.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 6/55

Page 17: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Motivation & Psychological Reality

Psychological Reality

Important Moments in the History of Linguistics

• HPSG as response to the Fodor, Bever, Garrett dilemma

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 7/55

Page 18: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Motivation & Psychological Reality

Psychological Reality

Important Moments in the History of Linguistics

• HPSG as response to the Fodor, Bever, Garrett dilemma

• HPSG recognizes the ‘linguistic structural descriptions’ whosepsychological reality is established, e.g. phonological representations,semantic representations.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 7/55

Page 19: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Motivation & Psychological Reality

Psychological Reality

Important Moments in the History of Linguistics

• HPSG as response to the Fodor, Bever, Garrett dilemma

• HPSG recognizes the ‘linguistic structural descriptions’ whosepsychological reality is established, e.g. phonological representations,semantic representations.

• HPSG defines these descriptions via structural definitions and ‘interfaceconstraints’ (Jackendoff), thus eliminating grammatical derivations inFBG’s sense.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 7/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

Outline

• Motivation & Psychological Reality

• General Overview of the Framework

• Valency

• Head Argument Structures

• Semantics

• Hierarchical Organization of Knowledge

Page 21: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 22: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

• sign-based (Saussure, 1916)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 23: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

• sign-based (Saussure, 1916)

• typed feature structures (lexical entries, phrases, principles)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 24: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

• sign-based (Saussure, 1916)

• typed feature structures (lexical entries, phrases, principles)

• multiple inheritance

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 25: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

• sign-based (Saussure, 1916)

• typed feature structures (lexical entries, phrases, principles)

• multiple inheritance

• phonology, syntax, and semantics are represented in one description:

• Phonology

• Syntax

• Semantics

phon 〈 Grammatik 〉

synsem|loc

cat

head

[

case 1

noun

]

subcat⟨

DET[case 1 ]⟩

cat

cont . . .

[

inst X

grammatik

]

loc

word

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 26: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

• sign-based (Saussure, 1916)

• typed feature structures (lexical entries, phrases, principles)

• multiple inheritance

• phonology, syntax, and semantics are represented in one description:

• Phonology

• Syntax

• Semantics

phon 〈 Grammatik 〉

synsem|loc

cat

head

[

case 1

noun

]

subcat⟨

DET[case 1 ]⟩

cat

cont . . .

[

inst X

grammatik

]

loc

word

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 27: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

• sign-based (Saussure, 1916)

• typed feature structures (lexical entries, phrases, principles)

• multiple inheritance

• phonology, syntax, and semantics are represented in one description:

• Phonology

• Syntax

• Semantics

phon 〈 Grammatik 〉

synsem|loc

cat

head

[

case 1

noun

]

subcat⟨

DET[case 1 ]⟩

cat

cont . . .

[

inst X

grammatik

]

loc

word

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 28: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

General Overview of the Framework

General Overview of the Framework

• lexicalized (head-driven)

• sign-based (Saussure, 1916)

• typed feature structures (lexical entries, phrases, principles)

• multiple inheritance

• phonology, syntax, and semantics are represented in one description:

• Phonology

• Syntax

• Semantics

phon 〈 Grammatik 〉

synsem|loc

cat

head

[

case 1

noun

]

subcat⟨

DET[case 1 ]⟩

cat

cont . . .

[

inst X

grammatik

]

loc

word

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 8/55

Page 29: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: PSG

• huge number of rules:S → NP, V X schlaft (‘sleeps’)

S → NP, NP, V X Y liebt (‘loves’)

S → NP, PP[uber ], V X uber y spricht (‘talks about’)

S → NP, NP, NP, V X Y Z gibt (‘gives’)

S → NP, NP, PP[mit], V X Y mit Z dient (‘serves’)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 9/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: PSG

• huge number of rules:S → NP, V X schlaft (‘sleeps’)

S → NP, NP, V X Y liebt (‘loves’)

S → NP, PP[uber ], V X uber y spricht (‘talks about’)

S → NP, NP, NP, V X Y Z gibt (‘gives’)

S → NP, NP, PP[mit], V X Y mit Z dient (‘serves’)

• verbs have to be used with the right rule

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 9/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: HPSG

• arguments represented as complex categories in the lexical entryof the head (similar to categorial grammar)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 10/55

Page 32: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: HPSG

• arguments represented as complex categories in the lexical entryof the head (similar to categorial grammar)

• Verb subcat

schlafen 〈 NP 〉

lieben 〈 NP, NP 〉

sprechen 〈 NP, PP[uber ] 〉

geben 〈 NP, NP, NP 〉

dienen 〈 NP, NP, PP[mit] 〉

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 10/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Example Tree with Valency Information (I)

Peter schlaft

V[subcat 〈 1 〉]1 NP

V[subcat 〈〉]

V[subcat 〈 〉] corresponds to a fully saturated phrase (VP or S)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 11/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Example Tree with Valency Information (II)

Peter Maria erwartet

V[subcat 〈 1 , 2 〉]2 NP

V[subcat 〈 1 〉]1 NP

V[subcat 〈〉]

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 12/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: HPSG

• specific rules for head argument combination:V[SUBCAT A ] → 1 V[SUBCAT A ⊕ 〈 1 〉 ]

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 13/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: HPSG

• specific rules for head argument combination:V[SUBCAT A ] → 1 V[SUBCAT A ⊕ 〈 1 〉 ]

• ⊕ is a relation that concatenates two lists:〈 a, b 〉 = 〈 a 〉 ⊕ 〈 b 〉 or

〈〉 ⊕ 〈 a, b 〉 or

〈 a, b 〉 ⊕ 〈〉

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 13/55

Page 37: Introduction to HPSG Class 1: Clause Structure ...hpsg.stanford.edu/LSA07/lsa2007-class1-intro-slides.pdf · Introduction to HPSG Class 1: Clause Structure, Hierarchical Organization

Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: HPSG

• specific rules for head argument combination:V[SUBCAT A ] → 1 V[SUBCAT A ⊕ 〈 1 〉 ]

• ⊕ is a relation that concatenates two lists:〈 a, b 〉 = 〈 a 〉 ⊕ 〈 b 〉 or

〈〉 ⊕ 〈 a, b 〉 or

〈 a, b 〉 ⊕ 〈〉

• In the rule above a list is split in a list that contains exactly one element( 1 ) and a rest ( A ).

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 13/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Valency and Grammar Rules: HPSG

• specific rules for head argument combination:V[SUBCAT A ] → 1 V[SUBCAT A ⊕ 〈 1 〉 ]

• ⊕ is a relation that concatenates two lists:〈 a, b 〉 = 〈 a 〉 ⊕ 〈 b 〉 or

〈〉 ⊕ 〈 a, b 〉 or

〈 a, b 〉 ⊕ 〈〉

• In the rule above a list is split in a list that contains exactly one element( 1 ) and a rest ( A ).

• Depending on the valency of the head the rest may containzero or more elements.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 13/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Generalization over Rules

• specific rules for head argument combinations:V[SUBCAT A ] → 1 V[SUBCAT A ⊕ 〈 1 〉 ]

A[SUBCAT A ] → 1 A[SUBCAT A ⊕ 〈 1 〉 ]

N[SUBCAT A ] → 1 N[SUBCAT A ⊕ 〈 1 〉 ]

P[SUBCAT A ] → P[SUBCAT A ⊕ 〈 1 〉 ] 1

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 14/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Generalization over Rules

• specific rules for head argument combinations:V[SUBCAT A ] → 1 V[SUBCAT A ⊕ 〈 1 〉 ]

A[SUBCAT A ] → 1 A[SUBCAT A ⊕ 〈 1 〉 ]

N[SUBCAT A ] → 1 N[SUBCAT A ⊕ 〈 1 〉 ]

P[SUBCAT A ] → P[SUBCAT A ⊕ 〈 1 〉 ] 1

• abstraction with respect to the order:V[SUBCAT A ] → V[SUBCAT A ⊕ 〈 1 〉 ] 1

A[SUBCAT A ] → A[SUBCAT A ⊕ 〈 1 〉 ] 1

N[SUBCAT A ] → N[SUBCAT A ⊕ 〈 1 〉 ] 1

P[SUBCAT A ] → P[SUBCAT A ⊕ 〈 1 〉 ] 1

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 14/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Generalization over Rules

• specific rules for head argument combinations:V[SUBCAT A ] → 1 V[SUBCAT A ⊕ 〈 1 〉 ]

A[SUBCAT A ] → 1 A[SUBCAT A ⊕ 〈 1 〉 ]

N[SUBCAT A ] → 1 N[SUBCAT A ⊕ 〈 1 〉 ]

P[SUBCAT A ] → P[SUBCAT A ⊕ 〈 1 〉 ] 1

• abstraction with respect to the order:V[SUBCAT A ] → V[SUBCAT A ⊕ 〈 1 〉 ] 1

A[SUBCAT A ] → A[SUBCAT A ⊕ 〈 1 〉 ] 1

N[SUBCAT A ] → N[SUBCAT A ⊕ 〈 1 〉 ] 1

P[SUBCAT A ] → P[SUBCAT A ⊕ 〈 1 〉 ] 1

• generalized, abstract schema (H = head):H[SUBCAT A ] → H[SUBCAT A ⊕ 〈 1 〉 ] 1

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 14/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Application of the Rules

• generalized, abstract shema (H = head):H[SUBCAT A ] → H[SUBCAT A ⊕ 〈 1 〉 ] 1

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 15/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Application of the Rules

• generalized, abstract shema (H = head):H[SUBCAT A ] → H[SUBCAT A ⊕ 〈 1 〉 ] 1

• possible instantiations of the schema:V[SUBCAT A ] → V[SUBCAT A 〈〉 ⊕ 〈 1 NP 〉 ] 1 NP

Maria erwartet (Maria waits for) Peter

schlaft (sleeps) Peter

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 15/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Application of the Rules

• generalized, abstract shema (H = head):H[SUBCAT A ] → H[SUBCAT A ⊕ 〈 1 〉 ] 1

• possible instantiations of the schema:V[SUBCAT A ] → V[SUBCAT A 〈〉 ⊕ 〈 1 NP 〉 ] 1 NP

Maria erwartet (Maria waits for) Peter

schlaft (sleeps) Peter

V[SUBCAT A ] → V[SUBCAT A 〈 NP 〉 ⊕ 〈 1 NP 〉 ] 1 NP

erwartet (wait for) Maria

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 15/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Application of the Rules

• generalized, abstract shema (H = head):H[SUBCAT A ] → H[SUBCAT A ⊕ 〈 1 〉 ] 1

• possible instantiations of the schema:V[SUBCAT A ] → V[SUBCAT A 〈〉 ⊕ 〈 1 NP 〉 ] 1 NP

Maria erwartet (Maria waits for) Peter

schlaft (sleeps) Peter

V[SUBCAT A ] → V[SUBCAT A 〈 NP 〉 ⊕ 〈 1 NP 〉 ] 1 NP

erwartet (wait for) Maria

N[SUBCAT A ] → N[SUBCAT A 〈〉 ⊕ 〈 1 Det 〉 ] 1 Det

Mann (man) der (the)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 15/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Representation of Valency in Feature Descriptions

gibt (‘gives’, finite form):

phon 〈 gibt 〉

part-of-speech verb

subcat⟨

NP[nom], NP[acc], NP[dat]⟩

NP[nom], NP[acc] and NP[dat] are abbreviations of complex featuredescriptions.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 16/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Valency

Demo: Grammar 3

(1) a. derthe

Mannman

schlaftsleeps

‘The man sleeps’

b. derthe

Mannman

diethe

Frauwoman

kenntknows

‘The man knows the woman.’

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 17/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Outline

• Motivation & Psychological Reality

• General Overview of the Framework

• Valency

• Head Argument Structures

• Semantics

• Hierarchical Organization of Knowledge

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Representation of Grammar Rules (I)

• Feature Descriptions as uniform means for describing linguistic objects• morphological rules• lexical entries• syntactic rules

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 18/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Representation of Grammar Rules (I)

• Feature Descriptions as uniform means for describing linguistic objects• morphological rules• lexical entries• syntactic rules

• separation of immediate dominance (ID) and linearer precedence (LP)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 18/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Representation of Grammar Rules (I)

• Feature Descriptions as uniform means for describing linguistic objects• morphological rules• lexical entries• syntactic rules

• separation of immediate dominance (ID) and linearer precedence (LP)

• dominance in dtr features (head daughters and non-head daughters)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 18/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Representation of Grammar Rules (I)

• Feature Descriptions as uniform means for describing linguistic objects• morphological rules• lexical entries• syntactic rules

• separation of immediate dominance (ID) and linearer precedence (LP)

• dominance in dtr features (head daughters and non-head daughters)

• precedence is implicit in phon

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 18/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Part of the Structure in AVM Representation – phon values (I)

NP

Det N

the man

phon 〈 the man 〉

head-dtr[

phon 〈 man 〉]

non-head-dtrs

[

phon 〈 the 〉]

• There is exactly one head daughter (head-dtr).The head daughter contains the head.a structure with the daughters the and picture of Mary →picture of Mary is the head daughter, since picture is the head.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 19/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Part of the Structure in AVM Representation – phon values (I)

NP

Det N

the man

phon 〈 the man 〉

head-dtr[

phon 〈 man 〉]

non-head-dtrs

[

phon 〈 the 〉]

• There is exactly one head daughter (head-dtr).The head daughter contains the head.a structure with the daughters the and picture of Mary →picture of Mary is the head daughter, since picture is the head.

• There may be several non-head daughters(if we assume flat structures or in headless binary branching structures).

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 19/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Representation of Grammar Rules

• Dominance Rule:

head-argument-phrase ⇒

subcat A

head-dtr|subcat A ⊕ 〈 1 〉

non-head-dtrs 〈 1 〉

The arrow stands for implication

• alternative spelling, inspired by the X Schema:H[SUBCAT A ]→H[SUBCAT A ⊕ 〈 1 〉 ] 1

The arrow stands for replacement (rewriting)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 20/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Representation of Grammar Rules

• Dominance Rule:

head-argument-phrase ⇒

subcat A

head-dtr|subcat A ⊕ 〈 1 〉

non-head-dtrs 〈 1 〉

The arrow stands for implication

• alternative spelling, inspired by the X Schema:H[SUBCAT A ]→H[SUBCAT A ⊕ 〈 1 〉 ] 1

The arrow stands for replacement (rewriting)

• possible instantiations:N[SUBCAT A ]→N[SUBCAT A 〈〉 ⊕ 〈 Det 〉 ] Det

V[SUBCAT A ]→V[SUBCAT A 〈〉 ⊕ 〈 NP 〉 ] NP

V[SUBCAT A ]→V[SUBCAT A 〈 NP 〉 ⊕ 〈 NP 〉 ] NP

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 20/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

An Example

V[subcat 〈〉]

C H

1 NP[nom] V[subcat 〈 1 〉]

C H

2 NP[acc] V[subcat 〈 1 , 2 〉]

C H

3 NP[dat] V[subcat 〈 1 , 2 , 3 〉]

er das Buch dem Mann gibt

he the book the man gives

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 21/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Part of the Structure in AVM Representation – phon values (I)V

NP V

NP V

D N NP V

D N

er das Buch dem Mann gibt

phon 〈 dem Mann gibt 〉

head-dtr[

phon 〈 gibt 〉]

non-head-dtrs

phon 〈 dem Mann 〉

head-dtr[

phon 〈 Mann 〉]

non-head-dtrs

[

phon 〈 dem 〉]

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 22/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Modelling Constituent Structure with Feature Structures

Partial Structure in Feature Structure Representation

phon 〈 dem Mann gibt 〉

subcat A⟨

NP[nom], NP[acc]⟩

head-dtr

[

phon 〈 gibt 〉

subcat A ⊕⟨

1⟩

]

non-head-dtrs

1

phon 〈 dem Mann 〉

p-o-s noun

subcat 〈〉

head-dtr . . .

non-head-dtrs . . .

head-argument-phrase

head-argument-phrase

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 24/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Projection of Head Properties

Projection of Head PropertiesV[fin, subcat 〈 〉]

C H

1 NP[nom] V[fin, subcat 〈 1 〉]

C H

2 NP[acc] V[fin, subcat 〈 1 , 2 〉]

C H

3 NP[dat] V[fin, subcat 〈 1 , 2 , 3 〉]

er das Buch dem Mann gibt

The finite verb is the head.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 26/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Projection of Head Properties

Feature Structure Representation: the head Value

• possible feature geometry:

phon list of phoneme strings

p-o-s p-o-s

vform vform

subcat list

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 27/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Projection of Head Properties

Feature Structure Representation: the head Value

• possible feature geometry:

phon list of phoneme strings

p-o-s p-o-s

vform vform

subcat list

• more structure, bundling of information that has to be projected:

phon list of phoneme strings

head

[

p-o-s p-o-s

vform vform

]

subcat list

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 27/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Projection of Head Properties

Different Heads Project Different Features

• The feature vform makes sense for verbs only.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 28/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Projection of Head Properties

Different Heads Project Different Features

• The feature vform makes sense for verbs only.

• German prenominal adjectives and nouns project case.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 28/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Projection of Head Properties

Different Heads Project Different Features

• The feature vform makes sense for verbs only.

• German prenominal adjectives and nouns project case.

• Possible structure: a structure that contains all features:

p-o-s p-o-s

vform vform

case case

case has no value for verbs, vform has no value for nouns

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 28/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Projection of Head Properties

Different Heads Project Different Features

• The feature vform makes sense for verbs only.

• German prenominal adjectives and nouns project case.

• Possible structure: a structure that contains all features:

p-o-s p-o-s

vform vform

case case

case has no value for verbs, vform has no value for nouns• Better solution: different types of feature structures

• for verbs:[

vform vform

verb

]

• for nouns:[

case case

noun

]

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 28/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

A Lexical Entry with Head Features

A Lexical Entry with Head Features

• A lexical entry contains the following:gibt: (‘gives’)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 29/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

A Lexical Entry with Head Features

A Lexical Entry with Head Features

• A lexical entry contains the following:gibt: (‘gives’)

phon 〈 gibt 〉

• phonological information

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 29/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

A Lexical Entry with Head Features

A Lexical Entry with Head Features

• A lexical entry contains the following:gibt: (‘gives’)

phon 〈 gibt 〉

head

[

vform fin

verb

]

• phonological information• head information (part of speech, verb form, . . . )

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 29/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

A Lexical Entry with Head Features

A Lexical Entry with Head Features

• A lexical entry contains the following:gibt: (‘gives’)

phon 〈 gibt 〉

head

[

vform fin

verb

]

subcat⟨

NP[nom], NP[acc], NP[dat]⟩

• phonological information• head information (part of speech, verb form, . . . )• valency information: a list of descriptions of arguments

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 29/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

The Head Feature Principle

The Head Feature Principle

• In a headed structure the head features of the mother are identical tothe head features of the head daughter.

headed-phrase ⇒

[

head 1

head-dtr|head 1

]

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 30/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

The Head Feature Principle

The Head Feature Principle

• In a headed structure the head features of the mother are identical tothe head features of the head daughter.

headed-phrase ⇒

[

head 1

head-dtr|head 1

]

• head-argument-phrase is a subtype of headed-phrase→ All constraints apply to structures of this type as well.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 30/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

The Head Feature Principle

The Head Feature Principle

• In a headed structure the head features of the mother are identical tothe head features of the head daughter.

headed-phrase ⇒

[

head 1

head-dtr|head 1

]

• head-argument-phrase is a subtype of headed-phrase→ All constraints apply to structures of this type as well.

• head-argument-phrase inherits properties of/constraints onheaded-phrase.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 30/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Head Argument Structures

Demo: Grammar 4

Demo: Grammar 4

(2) a. derthe

Mannman

schlaftsleeps

‘The man sleeps’

b. derthe

Mannman

diethe

Frauwoman

kenntknows

‘The man knows the woman.’

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 31/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Semantics

Outline

• Motivation & Psychological Reality

• General Overview of the Framework

• Valency

• Head Argument Structures

• Semantics

• Hierarchical Organization of Knowledge

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Semantics

Semantics

• Pollard and Sag (1987) and Ginzburg and Sag (2001) assume SituationSemantics (Barwise and Perry, 1983; Cooper, Mukai and Perry, 1990;Devlin, 1992).

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 32/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Semantics

Semantics

• Pollard and Sag (1987) and Ginzburg and Sag (2001) assume SituationSemantics (Barwise and Perry, 1983; Cooper, Mukai and Perry, 1990;Devlin, 1992).

• More recent work (in particular work in relation to computationalimplementations) uses Minimal Recursion Semantics (Copestake,Flickinger, Pollard and Sag, 2005).

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 32/55

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Minimal Recursion Semantics

• MRS allows for underspecified representation of quantifier scope.Lets consider the example in (3):

(3) Every dog chased some cat.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 33/55

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Minimal Recursion Semantics

• MRS allows for underspecified representation of quantifier scope.Lets consider the example in (3):

(3) Every dog chased some cat.

• MRS representation:top h0h1: every(x, h3, h2),h3: dog(x),h4: chase(e, x, y),h5: some(y, h7, h6),h7: cat(y)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 33/55

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Dominance Graph for Every dog chased some cat. – Reading I

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 35/55

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Dominance Graph for Every dog chased some cat. – Reading I

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

∀x(dog(x) →

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 35/55

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Dominance Graph for Every dog chased some cat. – Reading I

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

∀x(dog(x) → ∃y(cat(y) ∧

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 35/55

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Semantics

Dominance Graph for Every dog chased some cat. – Reading I

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

∀x(dog(x) → ∃y(cat(y) ∧ chase(x , y)))

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 35/55

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Dominance Graph for Every dog chased some cat. – Reading II

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 36/55

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Dominance Graph for Every dog chased some cat. – Reading II

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

∃y(cat(y) ∧

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 36/55

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Dominance Graph for Every dog chased some cat. – Reading II

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

∃y(cat(y) ∧ ∀x(dog(x) →

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 36/55

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Dominance Graph for Every dog chased some cat. – Reading II

h0

h1:every(x, h3, h2) h5:some(y, h7, h6)

h3:dog(x) h7:cat(y)

h4:chase(e, x, y)

∃y(cat(y) ∧ ∀x(dog(x) → chase(x , y)))

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 36/55

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Semantics

Parts of an MRS Representation

• Every elementary predication (EP) has a label of type handle.These are abbreviate as hs.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 37/55

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Semantics

Parts of an MRS Representation

• Every elementary predication (EP) has a label of type handle.These are abbreviate as hs.

• Quantifiers take arguments of type handle.These arguments have to be identified with a label.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 37/55

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Semantics

Handle-Constraints

More Complicated Cases

• The cat dog example is too simple,since quantifiers are identified with the label of the noun.This is not appropriate for (4a), since has the readings (4b–c).

(4) a. Every nephew of some famous politician runs.

b. every(x, some(y, famous(y) ∧ politician(y), nephew(x, y)), run(x))

c. some(y, famous(y) ∧ politician(y), every(x, nephew(x, y), run(x)))

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 38/55

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Semantics

Handle-Constraints

More Complicated Cases

• The cat dog example is too simple,since quantifiers are identified with the label of the noun.This is not appropriate for (4a), since has the readings (4b–c).

(4) a. Every nephew of some famous politician runs.

b. every(x, some(y, famous(y) ∧ politician(y), nephew(x, y)), run(x))

c. some(y, famous(y) ∧ politician(y), every(x, nephew(x, y), run(x)))

• It is not correct to leave the plugging absolutely underspecified,since this would licence (5b–c).

(5) a. h1, {h2:every(x, h3, h4), h5:nephew(x, y), h6:some(y, h7, h8),h7:politician(y), h7:famous(y), h10:run(x)}

b. every(x, run(x), some(y, famous(y) ∧ politician(y), nephew(x, y)))

c. some(y, famous(y) ∧ politician(y), every(x, run(x), nephew(x, y)))

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 38/55

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Semantics

Handle-Constraints

Handle Constraints

• In addition so-called handle constraints are used (qeq oder =q).A qeq constraint relates an argument handle and a label:h =q l means that the handle is filled by the label directly,or one or more quantifiers are inserted between h and l.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 39/55

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Semantics

Handle-Constraints

Handle Constraints

• In addition so-called handle constraints are used (qeq oder =q).A qeq constraint relates an argument handle and a label:h =q l means that the handle is filled by the label directly,or one or more quantifiers are inserted between h and l.

• This is pretty complicated.We recommend Blackburn and Bos, 2005 as a general introduction tounderspecified semantic representations.After this the dense MRS paper can be understood.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 39/55

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Semantics

Handle-Constraints

Handle Constraints

• In addition so-called handle constraints are used (qeq oder =q).A qeq constraint relates an argument handle and a label:h =q l means that the handle is filled by the label directly,or one or more quantifiers are inserted between h and l.

• This is pretty complicated.We recommend Blackburn and Bos, 2005 as a general introduction tounderspecified semantic representations.After this the dense MRS paper can be understood.

• We now look at the representation of MRS with feature description.A demo will follow and make things clearer.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 39/55

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Semantics

The Representation of Relations with Feature Descriptions

The Representation of Relations with Feature Descriptions

love(e,x,y)

arg0 event

arg1 index

arg2 index

love

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 40/55

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Semantics

The Representation of Relations with Feature Descriptions

The Representation of Relations with Feature Descriptions

love(e,x,y) book(x)

arg0 event

arg1 index

arg2 index

love

[

arg0 index

book

]

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 40/55

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Semantics

Representation of the CONT Value

Representation of the cont Value

• possible data structure (cont = content):

phon list of phoneme strings

head head

subcat list

cont mrs

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 41/55

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Semantics

Representation of the CONT Value

Representation of the cont Value

• possible data structure (cont = content):

phon list of phoneme strings

head head

subcat list

cont mrs

• more structure:partition into syntactic and semantic information (cat = category)

phon list of phoneme strings

cat

head head

subcat list

cat

cont mrs

• → it is now possible to share syntactic information only

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 41/55

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Semantics

Representation of the CONT Value

Sharing of Syntactic Information in Coordinations

• symmetric coordination: the cat value is identical

phon list of phoneme strings

cat

head head

subcat list

cat

cont mrs

• Examples:

(6) a. [the man and the woman]

b. He [knows and likes] this record.

c. He is [stupid and arrogant].

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 42/55

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Semantics

Nominal Objects

The Semantic Contribution of Nominal Objects

• semantic index + restrictions

phon 〈 Buch 〉

cat

[

head noun

subcat⟨

det⟩

]

cont

ind 1

per 3

num sg

gen neu

index

rels

[

arg0 1

buch

]

mrs

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 43/55

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Semantics

Nominal Objects

The Semantic Contribution of Nominal Objects

• semantic index + restrictions

phon 〈 Buch 〉

cat

[

head noun

subcat⟨

det⟩

]

cont

ind 1

per 3

num sg

gen neu

index

rels

[

arg0 1

buch

]

mrs

• Person, number, and gender are relevant for reference/coreference:

(7) Diethe

Fraui

womankauftbuys

eina

Buchj .book

Siei

sheliestreads

esj .it

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 43/55

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Semantics

Nominal Objects

Abbreviations

NP[3,sg ,fem]

cat

[

head noun

subcat 〈〉

]

cont|ind

per 3

num sg

gen fem

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 44/55

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Semantics

Nominal Objects

Abbreviations

NP[3,sg ,fem]

cat

[

head noun

subcat 〈〉

]

cont|ind

per 3

num sg

gen fem

NP 1

cat

[

head noun

subcat 〈〉

]

cont

[

ind 1

]

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 44/55

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Semantics

Linking

The Semantic Contribution of Verbs and Linking

• Linking of valency information and semantic contribution

gibt (gives, finite Form):

cat

head

[

vform fin

verb

]

subcat⟨

NP[nom] 1 , NP[acc] 2 , NP[dat] 3

cont

ind 4 event

rels

arg0 4

arg1 1

arg2 2

arg3 3

geben

mrs

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 45/55

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Semantics

Linking

The Semantic Contribution of Verbs and Linking

• Linking of valency information and semantic contribution

gibt (gives, finite Form):

cat

head

[

vform fin

verb

]

subcat⟨

NP[nom] 1 , NP[acc] 2 , NP[dat] 3

cont

ind 4 event

rels

arg0 4

arg1 1

arg2 2

arg3 3

geben

mrs

• The referential indices of the NPs are identified with the semantic roles.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 45/55

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Semantics

The Semantic Contribution of Phrases

The Projection of the Semantic Contribution of the Head

V[fin, subcat 〈 〉]

C H

1 NP[nom] V[fin, subcat 〈 1 〉]

C H

2 NP[acc] V[fin, subcat 〈 1 , 2 〉]

C H geben(e, b,m)

3 NP[dat] V[fin, subcat 〈 1 , 2 , 3 〉]

er das Buch dem Mann gibt

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 46/55

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Semantics

The Semantic Contribution of Phrases

Semantics Principle (Part)

In headed strucutres the semantic index of the mother is identical to thesemantic index of the head daughter.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 47/55

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Semantics

The Semantic Contribution of Phrases

Semantics Principle (Part)

In headed strucutres the semantic index of the mother is identical to thesemantic index of the head daughter.

The rels list of the mother is the concatenation of the rels lists of thedaughters.

The h-cons list of the mother is the concatenation of the h-cons lists ofthe daughters.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 47/55

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Semantics

The Semantic Contribution of Phrases

Demo: Berligram

(8) Jederevery

Sohnson

einesof.a

Beamtenstate.employee

rennt.runs

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 48/55

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Hierarchical Organization of Knowledge

Outline

• Motivation & Psychological Reality

• General Overview of the Framework

• Valency

• Head Argument Structures

• Semantics

• Hierarchical Organization of Knowledge

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Hierarchical Organization of Knowledge

Types

A Non-Linguistic Example for Multiple Inheritance

Types: A Non-Linguistic Example for Multiple Inheritance

electronic device

printing device scanning device . . .

printer copy machine scanner

laser printer . . . negative scanner . . .

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 49/55

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Hierarchical Organization of Knowledge

Types

Properties of Type Hierarchies

Properties of Type Hierarchies

• Subtypes inherits properties and constraints of their supertypes.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 50/55

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Hierarchical Organization of Knowledge

Types

Properties of Type Hierarchies

Properties of Type Hierarchies

• Subtypes inherits properties and constraints of their supertypes.

• Generalizations can be captured:General restrictions are represented at types that are high in thehierarchy.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 50/55

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Hierarchical Organization of Knowledge

Types

Properties of Type Hierarchies

Properties of Type Hierarchies

• Subtypes inherits properties and constraints of their supertypes.

• Generalizations can be captured:General restrictions are represented at types that are high in thehierarchy.

• More special types inherit from their super types.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 50/55

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Hierarchical Organization of Knowledge

Types

Properties of Type Hierarchies

Properties of Type Hierarchies

• Subtypes inherits properties and constraints of their supertypes.

• Generalizations can be captured:General restrictions are represented at types that are high in thehierarchy.

• More special types inherit from their super types.

• We can represent information with no redundancy.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 50/55

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Hierarchical Organization of Knowledge

Types

Linguistic Generalizations in the Type System

Linguistic Generalizations in the Type System

• Types are organized in a hierarchy.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 51/55

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Hierarchical Organization of Knowledge

Types

Linguistic Generalizations in the Type System

Linguistic Generalizations in the Type System

• Types are organized in a hierarchy.

• The most general type is on top.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 51/55

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Hierarchical Organization of Knowledge

Types

Linguistic Generalizations in the Type System

Linguistic Generalizations in the Type System

• Types are organized in a hierarchy.

• The most general type is on top.

• Information about properties of objects of a certain type are specified asconstraints on this type.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 51/55

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Hierarchical Organization of Knowledge

Types

Linguistic Generalizations in the Type System

Linguistic Generalizations in the Type System

• Types are organized in a hierarchy.

• The most general type is on top.

• Information about properties of objects of a certain type are specified asconstraints on this type.

• Subtypes inherit these properties.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 51/55

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Hierarchical Organization of Knowledge

Types

Linguistic Generalizations in the Type System

Linguistic Generalizations in the Type System

• Types are organized in a hierarchy.

• The most general type is on top.

• Information about properties of objects of a certain type are specified asconstraints on this type.

• Subtypes inherit these properties.

• Example: Entries in an Encyclopedia.Entry refers to more general concepts,no repitition of information that is present at more general concepts.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 51/55

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Hierarchical Organization of Knowledge

Types

Linguistic Generalizations in the Type System

Linguistic Generalizations in the Type System

• Types are organized in a hierarchy.

• The most general type is on top.

• Information about properties of objects of a certain type are specified asconstraints on this type.

• Subtypes inherit these properties.

• Example: Entries in an Encyclopedia.Entry refers to more general concepts,no repitition of information that is present at more general concepts.

• The upper part of the hierarchy is relevant for all languages(“universal grammar”).

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 51/55

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Hierarchical Organization of Knowledge

Types

Linguistic Generalizations in the Type System

Linguistic Generalizations in the Type System

• Types are organized in a hierarchy.

• The most general type is on top.

• Information about properties of objects of a certain type are specified asconstraints on this type.

• Subtypes inherit these properties.

• Example: Entries in an Encyclopedia.Entry refers to more general concepts,no repitition of information that is present at more general concepts.

• The upper part of the hierarchy is relevant for all languages(“universal grammar”).

• More specific type can be relevant for certain classes of languages oreven single languages only.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 51/55

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Hierarchical Organization of Knowledge

Types

Type Hierarchy for sign

Type Hierarchy for sign

sign

word phrase

non-headed-phrase headed-phrase

. . . head-argument-phrase . . .

all subtypes of headed-phrase inherit restrictions

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 52/55

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Hierarchical Organization of Knowledge

Types

Type Hierarchy for sign

All Constraints for a Local Tree (Head-Argument)

head 1

subcat A

head-dtr

[

head 1

subcat A ⊕ 〈 2 〉

]

non-head-dtrs 〈 2 〉

head-argument-phrase

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 53/55

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Hierarchical Organization of Knowledge

Types

Type Hierarchy for sign

Partial Structure in Feature Structure Representation

phon 〈 dem Mann gibt 〉

head 1

subcat A 〈 NP[nom], NP[acc] 〉

head-dtr

phon 〈 gibt 〉

head 1

[

vform fin

verb

]

subcat A ⊕ 〈 2 〉

word

non-head-dtrs

2

phon 〈 dem Mann 〉

head

[

cas dat

noun

]

subcat 〈〉

head-dtr . . .

non-head-dtrs . . .

head-argument-phrase

head-argument-phrase

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 54/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Summary

Summary

• Features and values caracterize linguistic objects.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 55/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Summary

Summary

• Features and values caracterize linguistic objects.

• Structure sharing allows to saythat certain values in a feature structure are identical.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 55/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Summary

Summary

• Features and values caracterize linguistic objects.

• Structure sharing allows to saythat certain values in a feature structure are identical.

• Valence information is represented in lists in a complex description ofthe head.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 55/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Summary

Summary

• Features and values caracterize linguistic objects.

• Structure sharing allows to saythat certain values in a feature structure are identical.

• Valence information is represented in lists in a complex description ofthe head.

• Types allow for classification of (linguistic) objects.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 55/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Summary

Summary

• Features and values caracterize linguistic objects.

• Structure sharing allows to saythat certain values in a feature structure are identical.

• Valence information is represented in lists in a complex description ofthe head.

• Types allow for classification of (linguistic) objects.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 55/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Summary

Summary

• Features and values caracterize linguistic objects.

• Structure sharing allows to saythat certain values in a feature structure are identical.

• Valence information is represented in lists in a complex description ofthe head.

• Types allow for classification of (linguistic) objects.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 55/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

Summary

Summary

• Features and values caracterize linguistic objects.

• Structure sharing allows to saythat certain values in a feature structure are identical.

• Valence information is represented in lists in a complex description ofthe head.

• Types allow for classification of (linguistic) objects.

c© Stefan Muller & Ivan A. Sag 2007, CL, FB 10, Universitat Bremen & Linguistics & CSLI, Stanford University 55/55

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Clause Structure, Hierarchical Organization of Knowledge, Lexical Regularities

References

Barwise, Jon and Perry, John. 1983. Situations and Attitudes.Cambridge: Massachusetts, London: England: The MITPress.

Barwise, Jon and Perry, John. 1987. Situationen und

Einstellungen – Grundlagen der Situationssemantik.Berlin, New York: de Gruyter.

Blackburn, Patrick and Bos, Johan. 2005. Representation and

Inference for Natural Language. A First Course in

Computational Semantics. Stanford: CSLI Publications.

Borsley, Robert D. 1999. Syntactic Theory: A Unified

Approach. London: Edward Arnold, second edition.

Chomsky, Noam. 1968. Language and Mind . New York:Harcourt, Brace and World.

Cooper, Robin, Mukai, Kuniaki and Perry, John (eds.). 1990.Situation Theory And Its Applications, Volume 1 . CSLILecture Notes, No. 22, Stanford: CSLI Publications.

Copestake, Ann, Flickinger, Daniel P., Pollard, Carl J. andSag, Ivan A. 2005. Minimal Recursion Semantics: anIntroduction. Research on Language and Computation

4(3), 281–332. http://lingo.stanford.edu/sag/papers/copestake.pdf, 11.10.2006.

Devlin, Keith. 1992. Logic and Information. Cambridge:Cambridge University Press.

Fodor, Jerry, Bever, T.G. and Garrett, M.F. 1974. The

Psychology of Language. New York: McGraw-Hill.

Ginzburg, Jonathan and Sag, Ivan A. 2001. Interrogative

Investigations: the Form, Meaning, and Use of English

Interrogatives. CSLI Lecture Notes, No. 123, Stanford:CSLI Publications.

Muller, Stefan. 2007. Head-Driven Phrase Structure

Grammar: Eine Einfuhrung . Stauffenburg Einfuhrungen,No. 17, Tubingen: Stauffenburg Verlag. http://www.cl.uni-bremen.de/∼stefan/Pub/hpsg-lehrbuch.html,02.07.2007.

Pollard, Carl J. and Sag, Ivan A. 1987. Information-Based

Syntax and Semantics. CSLI Lecture Notes, No. 13,Stanford: CSLI Publications.

Pollard, Carl J. and Sag, Ivan A. 1994. Head-Driven Phrase

Structure Grammar . Studies in Contemporary Linguistics,Chicago, London: University of Chicago Press.

Sag, Ivan A., Wasow, Thomas and Bender, Emily M. 2003.Syntactic Theory: A Formal Introduction. CSLI LectureNotes, No. 152, Stanford: CSLI Publications, secondedition. http://cslipublications.stanford.edu/site/1575864002.html, 05.06.2003.

Saussure, Ferdinand de. 1916. Grundfragen der allgemeinen

Sprachwissenschaft. Berlin: Walter de Gruyter & Co.