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From local to non-local dependencies Unbounded Dependency - - PowerPoint PPT Presentation

From local to non-local dependencies Unbounded Dependency Constructions (UDCs) in HPSG A head generally realizes its arguments locally within its head domain. Certain kind of constructions resist this generalization, such as, for example,


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SLIDE 1

Unbounded Dependency Constructions (UDCs) in HPSG

Introduction to HPSG

  • 26. Mai 2009

Kordula De Kuthy

1

From local to non-local dependencies

  • A head generally realizes its arguments locally within its head domain.
  • Certain kind of constructions resist this generalization, such as, for

example, the wh-questions discussed below.

  • How can the non-local relation between a head and such arguments be

licensed? How can the properties be captured?

2

A first example: Wh-elements

Wh-elements can have different functions: (1) a. Who did Hobbs see ?

Object of verb

  • b. Who do you think

saw the man?

Subject of verb

  • c. Who did Hobbs give the book to

?

Object of prep

  • d. Who did Hobbs consider

to be a fool?

Object of obj-control verb

Wh-elements can also occur in subordinate clauses: (2) a. I asked who the man saw .

  • b. I asked who the man considered

to be a fool .

  • c. I asked who Hobbs gave the book to

.

  • d. I asked who you thought

saw Hobbs.

3

Different categories can be extracted: (3) a. Which man did you talk to ?

NP

  • b. [To [which man]] did you talk

?

PP

  • c. [How ill] has the man been

?

AdjP

  • d. [How frequently] did you see the man

?

AdvP

This sometimes provides multiple options for a constituent: (4) a. Who does he rely [on ]?

  • b. [On whom] does he rely

? Unboundedness: (5) a. Who do you think Hobbs saw ?

  • b. Who do you think Hobbs said he saw

?

  • c. Who do you think Hobbs said he imagined that he saw

?

4

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SLIDE 2

Unbounded dependency constructions

An unbounded dependency construction – involves constituents with different functions – involves constituents of different categories – is in principle unbounded Two kind of unbounded dependency constructions (UDCs) – Strong UDCs – Weak UDCs

5

Strong UDCs

An overt constituent occurs in a non-argument position: Topicalization: (6) Kimi, Sandy loves

i .

Wh-questions: (7) I wonder [whoi Sandy loves

i ].

Wh-relative clauses: (8) This is the politician [whoi Sandy loves

i ].

It-clefts: (9) It is Kimi [whoi Sandy loves

i ].

Pseudoclefts: (10) [Whati Sandy loves

i ] is Kimi.

6

Weak UDCs

No overt constituent in a non-argument position: Purpose infinitive (for-to clauses): (11) I bought iti for Sandy to eat

i .

Tough movement: (12) Sandyi is hard to love

i .

Relative clause without overt relative pronoun: (13) This is [the politician]i [Sandy loves

i ].

It-clefts without overt relative pronoun: (14) It is Kimi [Sandy loves

i ].

7

Some properties of UDC constructions

Link between filler and gap with category information needed: (15) a. Kimi, Sandy trusts

i.

b. [On Kim]i, Sandy depends

i.

(16) a. * [On Kim]i, Sandy trusts

i.

  • b. * Kimi, Sandy depends

i.

8

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SLIDE 3

And this link has to be established for an unbounded length: (17) a. Kimi, Chris knows Sandy trusts

i.

b. [On Kim]i, Chris knows Sandy depends

i.

(18) a. * [On Kim]i, Chris knows Sandy trusts

i.

  • b. * Kimi, Chris knows Sandy depends

i.

(19) a. Kimi, Dana believes Chris knows Sandy trusts

i.

b. [On Kim]i, Dana believes Chris knows Sandy depends

i.

(20) a. * [On Kim]i, Dana believes Chris knows Sandy trusts

i.

  • b. * Kimi, Dana believes Chris knows Sandy depends

i.

9

Using the feature slash

To account for UDCs, we will use the feature slash (so-named because it comes from notation like S/NP to mean an S missing an NP)

  • This is a non-local feature which originates with a trace,
  • gets passed up the tree,
  • and is finally bound by a filler

10

An example for a strong UDC

Johni NP we NP know V she

1NP

likes V

  • loc|cat|subcat
  • 1,2
  • i

2NP

h c VP

  • loc|cat|subcat
  • 1
  • c

h S loc|cat|subcat

  • h

c VP c h S f h S

The bottom of a UDC: Traces

        word phon

  • synsem

   local

1

nonloc

  • inherited|slash
  • 1
  • to-bind|slash

{}

         

  • phonologically null, but structure-shares local and slash values
  • we’ll talk about to-bind later

12

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SLIDE 4

Traces

Because the local value of a trace is structure-shared with the slash value, constraints on the trace will be constraints on the filler.

  • For example, hates specifies that its object be accusative, and this case

information is local

  • So, the trace has

synsem|local|cat|head|case acc as part of its entry, and thus the filler will also have to be accusative (21) *Hei/Himi, John likes

i

13

The middle of a UDC: The Nonlocal Feature Principle (NFP)

For each nonlocal feature, the inherited value on the mother is the union

  • f the inherited values on the daughter minus the to-bind value on the

head daughter.

  • In other words, the slash information (which is part of inherited)

percolates “up” the tree

  • This allows the all the local information of a trace to “move up” to the

filler

14

The top of a UDC: Filler-head structures

Filler-head schema phrase dtrs head-filler-struc

           head-dtr|synsem         loc|cat   head verb vform fin

  • subcat

   nonloc

  • inherited|slash element
  • 1
  • to-bind|slash
  • 1

       filler-dtr|synsem|local 1           

15

The top of a UDC: Filler-head structures

Explanation of the schema

  • Filler and trace are identified as the exact same thing (as far as their

local structure is concerned)

  • The trace is “bound” by the to-bind feature; this prevents the slash

value from going any higher in the tree

  • Only saturated finite verbs (i.e., sentences) license such structures

16

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SLIDE 5

The top of a UDC: Filler-head structures

Example for a structure licensed by the filler-head schema

  • local 1
  • nloc
  • inherited|slash
  • . . . ,1,. . .
  • to-bind|slash
  • 1
  • f

h

  • nloc|inherited|slash {}
  • 17

The analysis of the strong UDC example

Johni NP

ˆ local 3 ˜

we NP know V she

1NP

likes V

" loc|cat|subcat ˙ 1,2 ¸ nonloc|to-bind|slash {} # i

NP

2 " loc 3 nloc|inher|slash ˘ 3 ¯ #

h c

VP

2 6 4 loc|cat|subcat ˙ 1 ¸ nloc " inherited|slash ˘ 3 ¯ to-bind|slash {} # 3 7 5

c h

S

2 6 4 loc|cat|subcat nloc " inherited|slash ˘ 3 ¯ to-bind|slash {} # 3 7 5

h c

VP

" nloc " inherited|slash ˘ 3 ¯ to-bind|slash {} # #

c h

S

" nloc " inherited|slash ˘ 3 ¯ to-bind|slash ˘ 3 ¯ # #

f h

S

ˆ nloc|inherited|slash {} ˜

The analysis of weak UDCs

(22) a. Kimi is easy (for John) to please

i

  • b. Kimi is easy to prove that Mary asked Paul to bribe

i.

(23) a. It is easy to please himacc / * henom.

  • b. Inom am easy to please

acc.

⇒ No true (non-argument) filler, only coindexed items serving as arguments Subject is role assigned: (24) a. I believe there to be a unicorn in the garden.

  • b. * There is easy to believe a unicorn in the garden.

(25) a. [This sonata]i is easy to play

i on that violin.

b. [This violin]i is easy to play this sonata [on

i].

19

Lexical entry of adjective easy

2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 phon <easy> synsem 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 loc 2 6 6 6 6 6 6 6 6 6 6 6 6 4 cat 2 6 6 6 4 head adj subcat *NP1, “ PP ˆ for˜

3 ,

” VP h inf, inher|slash element “

2NP

ˆ acc˜ :ppro 1 ” i :4 + 3 7 7 7 5 cont 2 6 6 6 4 easy arg1 1ref arg2 3 arg3 4 3 7 7 7 5 3 7 7 7 7 7 7 7 7 7 7 7 7 5 nonloc|to-bind|slash ˘

2

¯ 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5

⇒ Lexical entry selects for infinitive complement missing an NP, which is coindexed with the subject

20

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SLIDE 6

A weak UDC analysis

Ii

3NP1

am V easy A

" loc|cat|subcat ˙ 3,4 ¸ nloc|to-bind|slash ˘ 2 ¯ #

to V[inf ] please V[bse]

" loc|cat|subcat ˙ 5,6 ¸ nonloc|to-bind|slash {} # i 6NP1 " loc 2 nloc|inher|slash ˘ 2 ¯ #

h c

VP[bse]

" loc|cat|subcat ˙ 5 ¸ nloc|inherited|slash ˘ 2 ¯ #

h c

4VP[inf ] " loc|cat|subcat ˙ 5 ¸ nloc|inherited|slash ˘ 2 ¯ #

h c

AP

" loc|cat|subcat ˙ 3 ¸ nloc ˆ inherited|slash {} ˜ #

h c

VP

h loc|cat|subcat ˙ 3 ¸ i

c h

VP

ˆ loc|cat|subcat ˜

Multiple traces with strong and weak UDCs

(26) This is a problem which1 John2 is easy to talk to

2 about 1.

This is analyzed by allowing slash to be a set value and binding each trace

  • ff in turn
  • easy binds trace2
  • The head-filler construction at the top of the tree binds trace1

22

Multiple traces example

easy A

h nloc|to-bind|slash ˘ 2 ¯ i

to V[inf ] talk V to PP

h nloc|inher|slash n 2 1

  • i

about PP

h nloc|inher|slash ˘ 3 ¯ i

h c c

VP[bse]

h nloc|inherited|slash ˘ 2,3 ¯ i

h c

VP[inf ]

h nloc|inherited|slash ˘ 2,3 ¯ i

h c

AP

2 4loc|cat|subcat D 4 1 E nloc h inherited|slash ˘ 3 ¯ i 3 5 23

Limiting the occurrence of traces

The that-trace effect, one of the island effects: (27) Whoi did he claim that she kissed

i

(28) * Whoi did he claim that

i kissed her.

The trace principle (for English) Every trace must be strictly subcategorized by a substantive head, i.e., its synsem value must be a non-initial member of a substantive head’s subcat list. → That is, traces should be arguments (subcategorized) and they should not be subjects (strictly) ... Other languages may just require subcategorization

24

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SLIDE 7

Subject extraction

But subjects can be extracted out of embedded clauses (29) * Whoi did he claim that

i kissed her.

(30) Whoi did he claim

i kissed her.

⇒ So, we treat subject extraction in a special, traceless manner, allowing it to happen only in embedded clauses

25

Subject extraction lexical rule (SELR):

"word synsem|local|cat|subcat|rest element “ S ˆ unmarked˜ ” #

2 6 6 6 6 4 synsem 2 6 6 6 6 4 local|cat|subcat|rest element B @ VP " loc|cat|subcat D ˆ loc

1

˜ E nonloc|inher|slash {} # 1 C A nonloc|inherited|slash ˘

1

¯ 3 7 7 7 7 5 3 7 7 7 7 5

With the modifications in chapter 9, this will of course be reformulated as a rule applying to subj, not subcat

26

A subject extraction analysis

who NP

ˆ local 1 ˜

did V he

3NP

claim V

" loc|cat|subcat ˙ 3,2 ¸ nonloc|inherited|slash ˘ 1 ¯ #

kissed V[fin]

h loc|cat|subcat D ˆ local 1 ˜ , 4 E i

her

4NP

h c

2VP[fin] h loc|cat|subcat D ˆ local 1 ˜ E i

h c

VP

" loc|cat|subcat ˙ 3 ¸ nonloc|inherited|slash ˘ 1 ¯ #

h c c

S

2 6 4 loc|cat|subcat nonloc " inherited|slash ˘ 1 ¯ to-bind|slash ˘ 1 ¯ # 3 7 5

f h

S

Island constraints

With the definition of strict subcategorization in the Trace Principle, certain island constraints are correctly predicted. (31) a. How tall do you think the building is ?

  • b. *How do you think the building is

tall? (modifier) (32) a. That is the building [whose design our architects rejected ].

  • b. *That is the building [whose our architects rejected [

design]]. (not strict) (33) a. The books that I like, Leslie donated to the library.

  • b. *The books, Leslie donated [

that I like] to the library. (head)

28

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SLIDE 8

Multiple unbounded dependencies

(34) a. It will be easy to play even the most difficult sonata on a violin this well crafted.

  • b. [A violin this well crafted]1, even [the most difficult sonata]2 will

be easy to play

2 on 1.

(35) a. It is easy to talk to John about this topic.

  • b. This is the topic which1 John2 is easy to talk to

2 about 1.

  • Traces are bound at different points in the tree (as we saw earlier)
  • There are also cases, on the other hand, where traces are bound in unison

29

Multiple unbounded dependencies (cont.)

(36) That was the rebel leader who1 rivals of

1 shot 1.

An example like this is handled rather smoothly because slash is a set- valued feature, and so the two traces can be identified as the same. What distinguishes the following, however? (37) a. *That was the rebel leader who1 rivals of

1 shot the British

consul.

  • b. That was the rebel leader who1 agents of foreign powers shot

1.

30

Parasitic gaps

Extraction out of objects is possible in English: (38) Who did John assassinate [rivals of ] ? Extraction out of subjects, however, is only possible in the presence of a second gap: (39) Who did [rivals of ] assassinate ? (40) a. * Who did [rivals of ] assassinate the President? b. Who did [rivals of the president] assassinate ? The first trace is thus parasitic on the second one

31

Capturing parasitic gaps

The subject condition The initial element of a lexical head’s subcat list may be slashed only if that list contains another slashed element.

  • All parasitic gaps are contained within subjects.
  • Any subject gap must be licensed by a gap from the same subcat list.

32

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SLIDE 9

Summary of HPSG trace theory

  • 1. Nonlocal Feature Principle: For each nonlocal feature, the inherited

value on the mother is the union of the inherited values on the daughter minus the to-bind value on the head daughter.

  • 2. Trace Principle (English): Every trace must be strictly subcategorized by

a substantive head, i.e., its synsem value must be a non-initial member

  • f a substantive head’s subcat list.
  • 3. Subject Condition (English): The initial element of a lexical head’s

subcat list may be slashed only if that list contains another slashed element.

33