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Grammars as Software Libraries
Author: Aarne Ranta <aarne (at) cs.chalmers.se>
Last update: %%date(%c)
% NOTE: this is a txt2tags file.
% Create an html file from this file using:
% txt2tags --toc gslt-sem-2006.txt
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%!postproc(html): #NEW <!-- NEW -->
#NEW
==Setting==
Current funding
- VR: Library-Based Grammar Engineering (2006-2008)
- Lars Borin (Swedish)
- Robin Cooper (Computational Linguistics)
- Sibylle Schupp and Aarne Ranta (Computer Science)
Previous funding
- VR: Record Types and Dialogue Semantics (2003-2005)
- VINNOVA: Interactive Language Technology (2001-2004)
Main applications
- TALK: multilingual and multimodal dialogue systems
- WebALT: multilingual generation of mathematical teaching material
- KeY: multilingual authoring of software specifications
#NEW
==People==
Staff contributions to grammar libraries:
- Björn Bringert
- Markus Forsberg
- Harald Hammarström
- Janna Khegai
- Aarne Ranta
Student projects on libraries:
- Inger Andersson & Therese Söderberg: Spanish morphology
- Ludmilla Bogavac: Russian morphology
- Ali El Dada: Arabic morphology and syntax
- Muhammad Humayoun: Urdu morphology
- Michael Pellauer: Estonian morphology
#NEW
==Software Libraries==
The main device of **division of labour** in programming.
Instead of writing a sorting algorithm over and over again,
the programmers take it from a library. You write (in Haskell),
```
Data.List.sort xs
```
instead of a lot of code actually implementing sorting.
Practical advantages:
- division of labour
- faster development of new software
- quality guarantee and automatic improvements
#NEW
==Abstraction==
Libraries promote **abstraction**: you abstract away from details.
The use of libraries is therefore a good programming style.
It is also **scientifically interesting** to create libraries:
you have to think about abstractions on your domain of expertise.
Notice: libraries can bring abstraction to almost any language,
if it just has a support for functions or macros.
#NEW
==Grammars as libraries?==
Example: we want to create a GUI (Graphical User Interface) button
that says //yes//, and **localize** it to different languages:
```
Yes Ja Kyllä Oui Ja Sì
```
Possible ways to do this:
+ Go around dictionaries to find the word in different languages
```
yesButton english = button "Yes"
yesButton swedish = button "Ja"
yesButton finnish = button "Kyllä"
```
+ Hire more programmers to perform localization in different languages
#NEW
3. Use a library ``GUIText`` such that you can write
```
yesButton lang = button (render lang GUIText.Yes)
```
#NEW
==A slightly more advanced example==
This is what you often see as a feedback from a program:
```
You have 1 messages.
```
Or perhaps with a little more thought:
```
You have 1 message(s).
```
The code that should be written is of course
```
mess n = "You have" +++ show n +++ messages ++ "."
where
messages = if n==1 then "message" else "messages"
```
(E.g. VoiceXML gives support for this.)
#NEW
==Problems with the more advanced example==
The same as with "Yes": you have to know the words "you",
"have", "message".
//Moreover//, you have to know the inflection of the equivalent
of "message":
```
if n == 1 then "meddelande" else "meddelanden"
```
//Moreover//, you have to know the congruence with different numbers
(e.g. Arabic):
```
if n == 1 then "risAlaö" else
if n == 2 then "risAlatAn" else
if n < 11 then "rasA'il" else
"risAlaö"
```
#NEW
==More problems with the advanced example==
You also have to know the case required by the verb "have"
(e.g. Finnish: nominative in singular, partitive in plural).
//Moreover//, you have to know what is the proper way to politely
address the user:
```
Du har 3 meddelanden / Ni har 3 meddelanden
Vous avez 3 messages / Tu as 3 messages
```
(This can also depend on country and the kind of program.)
#NEW
==A library-based solution==
In analogy with the "Yes" case, you write
```
mess lang n = render lang (MailText.YouHaveMessages n)
```
Hmm, is this so smart? What about if you want to say
```
You have 4 documents.
You have 5 jewels.
I have 7 surprises.
```
It is time to move from **canned text** to a **grammar**.
#NEW
==An improved library-based solution==
You may want to write
```
mess lang n = render lang (Have PolYou (Num n Message))
sword lang n = render lang (Have FamYou (Num n Jewel))
surpr lang n = render lang (Have I (Num n Surprise))
```
For this purpose, you need a library with the following API
(Application Programmer's Interface):
```
Have : NounPhrase -> NounPhrase -> Sentence
PolYou : NounPhrase
FamYou : NounPhrase
Num : Int -> Noun -> NounPhrase
Message : Noun
```
You also need a top-level rendering function
```
render : Language -> Sentence -> String
```
#NEW
==An optimal solution?==
The library API for language will certainly grow big and become
difficult to use. Why couldn't I just write
```
mess lang n = render lang (parse english "you have n messages")
```
To this end, the API should provide the top-level function
```
parse : Language -> String -> Sentence
```
The library that we will present actually has this as well!
#NEW
The only complication is that ``parse`` does not always return
just one sentence. Those may be zero:
```
you have n mesaggse
```
or many:
```
Have PolYou (Num n Message)
Have FamYou (Num n Message)
Have PlurYou (Num n Message)
```
#NEW
==The components of a grammar library==
The library has **construction functions** like
```
Have : NounPhrase -> NounPhrase -> Sentence
PolYou : NounPhrase
```
These functions build **grammatical structures**, which
can have different realizations in different languages.
Therefore we also need **realization functions**,
```
render : Language -> Sentence -> String
parse : Language -> String -> [Sentence]
```
Both of them require major linguistic expertise to write - but,
one this is done, they can be used with very little linguistic
knowledge by application programmers!
#NEW
==Implementing a grammar library in GF==
GF = Grammatical Framework
Those who know GF have already seen the introduction as a
seduction argument leading to GF.
In GF,
- construction functions = **abstract syntax**
- realization functions = **concrete syntax**
#NEW
Simplest possible example:
```
abstract GUIText = {
cat Text ;
fun Yes : Text ;
}
concrete GUITextEng of GUIText = {
lin Yes = ss "yes" ;
}
concrete GUITextFin of GUIText = {
lin Yes = ss "kyllä" ;
}
```
#NEW
==Linearization and parsing==
The realizatin function is, for each language, implemented by
**linearization rules** (``lin``).
The linearization rules directly give the ``render`` method:
```
render english x = GUITextEng.lin x
```
The GF formalism moreover has the property of **reversibility**:
a set of linearization rules automatically generates a parser as
well.
%While reversibility has a minor importance for the applications
%shown above, it is crucial for other applications of GF grammars.
#NEW
==Applying GF==
**multilingual grammar** = abstract syntax + concrete syntaxes
Examples of the idea:
- multilingual authoring
- domain-specific translation
- dialogue systems
#NEW
==Domain, ontology, idiom==
An abstract syntax represents
- a **semantic model**
- an **ontology**
The concrete syntax defines how the concepts of the ontology
are represented in a language.
The following requirements are made:
- linguistic correctness (inflection, agreement, word order,...)
- semantic correctness (express the intended concepts)
- conformance to the domain idiom (use proper terms and phrasing)
Benefit: translation via semantic model of domain can reach high quality.
Problem: the expertise of both a linguist and a domain expert are required.
#NEW
==Example domain==
Arithmetic of natural numbers: abstract syntax
```
cat Prop ; Nat ;
fun Even : Nat -> Prop ;
```
**Concrete syntax**: mapping from abstract syntax trees to strings in a language
(English, French, German, Swedish,...)
```
lin Even x = {s = x.s ++ "is" ++ "even"} ;
lin Even x = {s = x.s ++ "est" ++ "pair"} ;
lin Even x = {s = x.s ++ "ist" ++ "gerade"} ;
lin Even x = {s = x.s ++ "är" ++ "jämnt"} ;
```
#NEW
==Translation system==
We can **translate** between languages via the abstract syntax:
```
4 is even 4 ist gerade
\ /
Even (NInt 4)
/ \
4 est pair 4 är jämnt
```
This idea is used e.g. in the WebALT project to generate mathematical
teaching material in 7 languages.
But is it really so simple?
#NEW
==Difficulties with concrete syntax==
The previous multilingual grammar breaks these rules in many situations:
```
2 and 3 is even
la somme de 3 et de 5 est pair
wenn 2 ist gerade, dann 2+2 ist gerade
om 2 är jämnt, 2+2 är jämnt
```
All these sentences are grammatically incorrect.
#NEW
==Solving the difficulties==
GF can express the linguistic rules that are needed to
produce correct translations. (Expressive power
between TAG and HPSG, but the language is more high-level.)
Instead of just strings, we need **parameters**, **tables**,
and **record types**. For instance, French:
```
param Mod = Ind | Subj ;
param Gen = Masc | Fem ;
lincat Nat = {s : Str ; g : Gen} ;
lincat Prop = {s : Mod => Str} ;
lin Even x = {s =
table {
m => x.s ++
case m of {Ind => "est" ; Subj => "soit"} ++
case x.g of {Masc => "pair" ; Fem => "paire"}
}
} ;
```
Linguistic knowledge dominates in the size of this grammar.
#NEW
==Application grammars vs. resource grammars==
Application grammar ("semantic grammar")
- abstract syntax: domain semantics
- concrete syntax: "controlled language"
- author: domain expert
Resource grammar ("syntactic grammar")
- abstract syntax: linguistic structures
- concrete syntax: (approximation of) entire language
- author: linguist
#NEW
==Concrete syntax using library==
Language-independent API
```
cat S ; NP ; A ;
fun predA : NP -> A -> S ;
oper regA : Str -> A ;
```
Implementation for four languages
```
lincat
Prop = S ;
Nat = NP ;
lin
Even = predA (regA "even") ; -- English
Even = predA (regA "jämn") ; -- Swedish
Even = predA (regA "pair") ; -- French
Even = predA (regA "gerade") ; -- German
```
Notice: choice of adjective is domain expert knowledge.
#NEW
==Design questions for grammar the library==
What should there be in the library?
- morphology, lexicon, syntax, semantics,...
How do we organize and present the library?
- division into modules, level of granularity
- "school grammar" vs. sophisticated linguistic concepts
Where to get the data from?
- automatic extraction or hand-writing?
- reuse of existing resources?
Extra constraint: we want open-source free software and
hence cannot use existing proprietary resources.
#NEW
==Design decisions==
The current GF resource grammar library has, for each language,
- complete morphology
- lexicon of the most important structural words
- test lexicon of ca. 300 content words
- representative fragment of syntax (cf. CLE (Core Language Engine))
- rather flat semantics (cf. Quasi-Logical Form of CLE)
Organization and presentation:
- top-level (API) modules
- internal modules (only interesting for resource implementors)
- we favour "school grammar" concepts rather than innovative linguistic theory
- tool ``gfdoc`` for generating HTML from grammars
#NEW
==Design decisions, cont'd==
Where do we get the data from?
- morphology and syntax are hand-written
- the test lexicon is hand-written
- APIs for manual lexicon extension
- tool for automatic lexicon extraction
- we have not reused existing resources
The resource grammar library is entirely
open-source free software (under GNU GPL license).
#NEW
==Success criteria==
Grammatical correctness of everything generated.
Semantic coverage: you can express whatever you want.
Usability as library for non-linguists.
(Bonus for linguists:) nice generalizations w.r.t. language
families, using the module system of GF.
#NEW
==These are not our success criteria==
Language coverage: to be able to parse all expressions.
- Example: French //passé simple//, although covered by the
morphology, is not available through the language-independent API.
Semantic correctness: only to produce meaningful expressions.
- Example: the following sentences can be generated
```
colourless green ideas sleep furiously
the time is seventy past forty-two
```
(Warning for linguists:) theoretical innovation in
syntax is not among the goals
(and it would be hidden from users anyway!).
#NEW
==So where is semantics?==
Application grammars typically use domain-specific
semantics to guarantee semantic well-formedness.
GF incorporates a **Logical Framework** and is therefore
capable of expressing logical semantics //à la// Montague
or any other flavour, including anaphora and discourse.
But we do //not// try to give semantics once and
for all for the whole language.
Instead, we expect semantics to be given in
**application grammars** built on semantic models
of different domains.
#NEW
==Levels of representation==
No fixed set of levels; here some examples:
```
2 is even
2 är jämnt
```
In ``Arithm``
```
Even 2
```
In ``Predication`` (high level resource API)
```
predA (IntNP 2) (regA "even")
predA (IntNP 2) (regA "jämn")
```
In ``Lang`` (ground level resource API)
```
UseCl TPres ASimul PPos (PredVP (UsePN (IntPN 2)) (UseComp (CompAP (PositA (regA "even")))))
UseCl TPres ASimul PPos (PredVP (UsePN (IntPN 2)) (UseComp (CompAP (PositA (regA "jämn")))))
```
#NEW
==Languages==
The current GF Resource Project covers ten languages:
- ``Dan``ish
- ``Eng``lish
- ``Fin``nish
- ``Fre``nch
- ``Ger``man
- ``Ita``lian
- ``Nor``wegian
- ``Rus``sian
- ``Spa``nish
- ``Swe``dish
The first three letters (``Dan`` etc) are used in grammar module names
In addition, we have parts (morphology) of Arabic, Estonian, and Urdu
#NEW
==Library structure 1: language-independent API==
[Lang.png]
[Resource index page index.html]
[Examples of each category gfdoc/Cat.html]
#NEW
==Library structure 2: language-dependent modules==
- morphological paradigms, e.g. ``ParadigmsSwe``
```
mkN : (x1,_,_,x4 : Str) -> N ; -- worst-case noun constructor
regN : Str -> N ; -- regular noun constructor
```
- (in some languages) irregular verbs (and other words), e.g. ``IrregSwe``
```
angripa_V = irregV "angripa" "angrep" "angripit" ;
```
- (not yet available) exended syntax with language-specific rules, e.g. ``ExtNor``
```
PostPoss : CN -> Pron -> NP ; -- bilen min
```
#NEW
==How much can be language-independent?==
For the ten languages we have considered, it //is// possible
to implement the current API.
Reservations:
- does not necessarily extend to all other languages
- does not necessarily cover the most idiomatic expressions of each language
- may not be the easiest API to implement (e.g. negation and
inversion with //do// in English suggest that some other
structure would be more natural)
- no guaranteed that same structure has the same semantics in all different languages
#NEW
==Parametrized modules==
We can go even farther than share an abstract API: we can share implementations
among related languages.
Exploited in two families:
- Romance: French, Italian, Spanish
- Scanndinavian: Danish, Norwegian, Swedish
[The declarations of Scandinavian syntax differences ../scandinavian/DiffScand.gf]
#NEW
==Using the library==
Simplest case: use the API in the same way for all languages.
- **+** grammar localization for free
- **-** not the best idioms for each language
In practice: use the API in different ways for different languages
```
Name x y = predNP (GenCN x (regN "name")) (StringNP y) -- Eng: x's name is y
Name x y = predV2 x heta_V2 (StringNP y) -- Swe: x heter y
```
This amounts to **compile-time transfer**.
Writing an application grammar requires more native-speaker knowledge
than writing a resource grammar!
#NEW
==Lexicon extension==
We cannot anticipate all vocabulary needed in application grammars.
Therefore we provide high-level paradigms to add new words.
Example heuristic, from [ParadigsSwe gfdoc/ParadigmsSwe.html]:
```
regV : (leker : Str) -> V ;
regV leker = case leker of {
lek + ("a" | "ar") => conj1 (lek + "a") ;
lek + "er" => conj2 (lek + "a") ;
bo + "r" => conj3 bo
}
```
#NEW
==Example low-level morphological definition==
```
decl2Noun : Str -> N = \bil ->
let
bb : Str * Str = case bil of {
pojk + "e" => <pojk + "ar", bil + "n"> ;
nyck + "e" + l@("l" | "r") => <nyck + l + "ar",bil + "n"> ;
sock + "e" + "n" => <sock + "nar", sock + "nen"> ;
_ => <bil + "ar", bil + "en">
} ;
in mkN bil bb.p2 bb.p1 (bb.p1 + "na") ;
```
#NEW
==Some formats that can be generated from GF grammars==
```
-printer=lbnf BNF Converter, thereby C/Bison, Java/JavaCup
-printer=fullform full-form lexicon, short format
-printer=xml XML: DTD for the pg command, object for st
-printer=gsl Nuance GSL speech recognition grammar
-printer=jsgf Java Speech Grammar Format
-printer=srgs_xml SRGS XML format
-printer=srgs_xml_prob SRGS XML format, with weights
-printer=slf a finite automaton in the HTK SLF format
-printer=regular a regular grammar in a simple BNF
-printer=gfc-prolog gfc in prolog format (also pg)
```
#NEW
==Corpus generation==
The most general format is **multilingual treebank** generation:
```
> gr -tr | l -multi
UseCl TCond AAnter PPos (PredVP (DetCN (DetSg DefSg NoOrd)
(AdjCN (PositA young_A) (UseN man_N))) (ComplV2 love_V2 (UsePron she_Pron)))
den unga mannen skulle ha älskat henne
der junge Mann würde sie geliebt haben
le jeune homme l' aurait aimée
the young man would have loved her
```
A special case is corpus generation, either exhaustive or random with
or without probability weights attached to constructors.
Cf. Rebecca Jonson this afternoon.
#NEW
==Use as program components==
Haskell, Java, Prolog
Parsing, generation, translation
Push-button creation of spoken language translators (using Nuance)
#NEW
==Related work==
CLE = Core Language Engine
- the closest point of comparison as for coverage and purpose
- resource API similar to "Quasi-Logical Form"
- parametrized modules instead of grammar porting via macro packages
- grammar specialization via partial evaluation instead of explanation-based learning
- therefore, transfer at compile time as often as possible
Lingo Matrix project (HPSG)
- methodology rather than formal discipline for multilingual grammars
- wider coverage
- not aimed as library, no grammar specialization?
%http://www.boost.org/