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CS4025: Semantics

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Representing meaning

Semantic interpretation

Word meaning

For more information: J&M, chap 14, 16 in

1 st ed; 17, 19 in 2 nd

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NL Understanding

Understanding written text

» Which books are bestsellers

» Who wrote them

For now, focus on “ AI ” approach

» explicit models of grammar, meaning, etc

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Stages

Morphology: analyse word inflection

Syntax: determine grammatical structure

Semantics: convert to a form that is meaningful to a computer

» eg, SQL query

Pragmatics: influence of context

» eg, what them refers to

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Example

Original: Who wrote them morph: who write/past them

Grammar: [verb=write, subject=who, object=them] semantics: Select title, firstname, lastname from [X] pragmatics:

» Select title, firstname, lastname from books

» Where salesthisyear >10000

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Definition

Semantic interpretation rewrites a parse tree into a “ meaning representation ”

» Logic, SQL, knowledge base

Poorly understood compared to syntax

» apps that need complex semantics, like database front ends or high-quality MT, have had limited success in the past

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Meaning

How can we represent the meaning of an English sentence?

Programming languages: “ meaning ” is the equivalent machine code a = b +c means load a add b store c

We could represent meaning as programs in some language, in which case NLU would be a kind of

“ compilation ”

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Meaning Representation in NL

Many possibilities

– executable programs

– logical formulas

– AI knowledge representation

– nothing

No consensus on what is best - basic problem in philosophy and psychology

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Criteria for an ideal MRL

Unambiguous

Able to express all necessary shades of meaning for the application domain

Verifiability – system can tell whether a statement is true according to a knowledge base

Canonical – different sentences with the same meaning are mapped to the same representation

Support of inference

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Example: John passed CS1001

Different representations

» Program: C (or SQL) code to add an appropriate entry to a student database

» Logic: pass(John, CS1001)

» AI Semantic Net

John

Agent

Pass

Object

CS1001

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Program as representation

Translate English into SQL (C, ...)

» MS English Query / AccessELF

– “ List the bestsellers ” translated into “ Select titles from books where sales>10000 ”

» Usually need a different translator for each application

– Good authoring environments for semantic rules are essential

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Logic as a Representation

Translate into (first-order) logic

John is a man

John eats spinach

John sold all of his stocks

(  X)(stock(X) & own(John,X))  sell(John, X))

John sold Peter all of his stocks man(John) eat(John,spinach)

(  X)(stock(X) & own(John,X))  sell(John,X,Peter))

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Logic as Representation (2)

Good points

» Can represent any meaning (if you are inventive enough about predicates etc.)

» Good support for compositionality, arbitrarily complex statements

» Good support for quantifiers (all, some,...)

Bad points

» Doesn ’ t seem to really match the way people think.

– does  really mean some?

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Case Frames as a Representation

Form of (AI) semantic network

Assume verbs (and other words) are objects with relations

AGENT - the person/thing acting

THEME - the person/thing acted upon

BENEFICARY - [of action]

AT-LOC - where action happened

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Example

John gave Peter the ball

John gave the ball to Peter

The ball was given to Peter by John are all interpreted as

GIVE agent = John theme = ball beneficiary = Peter

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Meaning Primitives

Meaning primitives are a fixed set of concepts/ roles etc. in terms of which any meaning can be expressed

Makes reasoning, e.g. about whether two meanings are the same, simpler.

Example: PURCHASE act

John bought the book from Sam

Sam sold the book to John

Difficult to define small set of primitives

» Conceptual Dependency was one serious attempt

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Conceptual Dependency

Primitives

» ATRANS - abstract transfer

» PTRANS - physical transfer

» MTRANS - mental transfer

» PROPEL - apply force to an object

» INGEST - eat, drink, etc

» CON - conceptualise

» etc

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Example: "John bought a book from

Mary."

(BI-CAUSE

(SOURCE (ATRANS (ACTOR MARY)

(OBJECT BOOK)

(FROM MARY)

(TO JOHN)

(TIME PAST)))

(TARGET (ATRANS (ACTOR JOHN)

(OBJECT MONEY)

(FROM JOHN)

(TO MARY)

(TIME PAST))))

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Example: "Bob threw the ball to Bill."

(PTRANS (ACTOR BOB)

(OBJECT BALL)

(FROM BOB)

(TO BILL)

(TIME PAST)

(INSTRUMENT (PROPEL (ACTOR BOB)

(OBJECT BALL)

(FROM BOB)

(TO BILL)

(TIME PAST)))

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Knowledge Bases

Represent meaning using objects in a large AI knowledge base

» CYC project - 15-year project to build a knowledge base which holds the kind of general world knowledge that people have

» Use Cyc primitives and KR language to represent meaning?

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MRLs and Logic

Most existing meaning representation languages

(frames, semantic nets, case frames etc). can be viewed as subsets of First Order Logic (where the expressive power is restricted or the set of predicates etc. is partially determined)

Main deficiencies of first order logic – inability to express default inferences and inferences based on partial information

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Choosing an MRL: What is the Task?

Why are we processing this sentence? This could influence the kind of meaning representation chosen

» database interface - perhaps use SQL rep?

» AI system which reasons about John ’ s problems perhaps use logic or AI KR?

» Information retrieval, speech dictation, grammar checking - don ’ t build any meaning representation?

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Semantic Interpretation

Rewriting the parse tree into the target representation

May be based on rewrite rules that insert a semantic structure X if the parse tree contains syntactic structure Y

For generality/coverage, needs to be

compositional, that is the meaning of the whole is some fixed function of the meanings of the parts

More on this in the next lecture

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Ex: List the books

S: imperative

V: List

NP: X mapped into

Select X.<name> from X

There are also cheaper/simpler approaches to semantic interpretation in use…

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Semantic interpretation: Semantic grammar

An attempt to reduce the “ distance ” between syntactic and semantic representations

Grammar is defined in terms of semantic categories

» TIMEQ-> When does FLIGHT-NP FLIGHT-VP

» FLIGHT-NP -> Flight NUMBER

» FLIGHT-NP -> Flight to CITY

» FLIGHT-NP -> TIME flight to CITY

» FLIGHT-VP -> depart

» FLIGHT-VP -> leave

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Semantic Interpretation:

Template spotting

Look for patterns (either in text or parse tree) which identify meaning fragments

» Example: How much is a ticket to London?

» How much specifies cost query

» a ticket specifies a single one-way ticket

» to London specifies destination

Must be in limited domain

Patterns looked for can be informed by knowledge about how words relate to underlying concepts and what syntactic properties words have.

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Doctor-on-Board Problem

Simple rewriting may not be sufficient. Example:

– Is there a doctor within 200 miles of the Enterprise

» Database doesn ’ t have Doctor entities, instead it has

DoctorOnBoard attr for ships

» Need to rephrase this as

– Is there a ship within 200 miles of the Enterprise which has a doctor on board?

» Restructure query from human ’ s data model to database ’ s data model

Distance between syntactic and semantic structure significant in this example

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Lexical (Word) Meaning

Logic (classical) model

» bachelor(X) = male(X) & adult(X) & ¬married(X)

– But: the pope? Divorcee? Muslim with 3 wives?

» Father(X) = male(X)&parent(X)

– Man who adopts a child?

– Sperm-bank donor?

– Unmarried partner to woman raising a child?

– Unmarried (gay) partner to man raising a child?

Prototype/exemplar models may be better when words don ’ t have formal “ definitions ”

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Word meaning for time-series data

Weather reports

» Saturday will be yet another generally dull day with early morning mist or fog and mainly cloudy skies being prevalent. There will be the odd bright spell here and there, but it will feel rather damp with patches of mainly light rain to be found across many parts, especially the west and south.

Ongoing research project in CS Dept

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Conclusion

Converting sentences to a “ meaning representation ” is hard

» No agreement on best meaning-rep

» Word meaning is hard to pin down

Limited success in small domains, but we can ’ t semantically interpret general text

» but we can parse general text

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