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tutorial elaboration

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aarne
2005-12-16 20:25:52 +00:00
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@@ -7,7 +7,7 @@
<P ALIGN="center"><CENTER><H1>Grammatical Framework Tutorial</H1>
<FONT SIZE="4">
<I>Author: Aarne Ranta &lt;aarne (at) cs.chalmers.se&gt;</I><BR>
Last update: Fri Dec 16 15:10:23 2005
Last update: Fri Dec 16 21:04:37 2005
</FONT></CENTER>
<P></P>
@@ -22,19 +22,32 @@ Last update: Fri Dec 16 15:10:23 2005
<UL>
<LI><A HREF="#toc4">Importing grammars and parsing strings</A>
<LI><A HREF="#toc5">Generating trees and strings</A>
<LI><A HREF="#toc6">Some random-generated sentences</A>
<LI><A HREF="#toc7">Systematic generation</A>
<LI><A HREF="#toc8">More on pipes; tracing</A>
<LI><A HREF="#toc9">Writing and reading files</A>
<LI><A HREF="#toc10">Labelled context-free grammars</A>
<LI><A HREF="#toc6">Visualizing trees</A>
<LI><A HREF="#toc7">Some random-generated sentences</A>
<LI><A HREF="#toc8">Systematic generation</A>
<LI><A HREF="#toc9">More on pipes; tracing</A>
<LI><A HREF="#toc10">Writing and reading files</A>
<LI><A HREF="#toc11">Labelled context-free grammars</A>
</UL>
<LI><A HREF="#toc11">The GF grammar format</A>
<LI><A HREF="#toc12">The GF grammar format</A>
<UL>
<LI><A HREF="#toc12">Abstract and concrete syntax</A>
<LI><A HREF="#toc13">Resource modules</A>
<LI><A HREF="#toc14">Opening a ``resource``</A>
<LI><A HREF="#toc13">Abstract and concrete syntax</A>
<LI><A HREF="#toc14">Resource modules</A>
<LI><A HREF="#toc15">Opening a ``resource``</A>
</UL>
<LI><A HREF="#toc16">Topics still to be written</A>
<UL>
<LI><A HREF="#toc17">Free variation</A>
<LI><A HREF="#toc18">Record extension, tuples</A>
<LI><A HREF="#toc19">Predefined types and operations</A>
<LI><A HREF="#toc20">Lexers and unlexers</A>
<LI><A HREF="#toc21">Grammars of formal languages</A>
<LI><A HREF="#toc22">Resource grammars and their reuse</A>
<LI><A HREF="#toc23">Embedded grammars in Haskell, Java, and Prolog</A>
<LI><A HREF="#toc24">Dependent types, variable bindings, semantic definitions</A>
<LI><A HREF="#toc25">Transfer modules</A>
<LI><A HREF="#toc26">Alternative input and output grammar formats</A>
</UL>
<LI><A HREF="#toc15">Topics still to be written</A>
</UL>
<P></P>
@@ -102,7 +115,7 @@ Now you are ready to try out your first grammar.
We start with one that is not written in GF language, but
in the ubiquitous BNF notation (Backus Naur Form), which GF can also
understand. Type (or copy) the following lines in a file named
<CODE>paleolithic.ebnf</CODE>:
<CODE>paleolithic.cf</CODE>:
</P>
<PRE>
S ::= NP VP ;
@@ -120,38 +133,48 @@ understand. Type (or copy) the following lines in a file named
<A HREF="http://www.cs.chalmers.se/~aarne/GF/examples/stoneage/">stoneage</A>,
which implements a fragment of primitive language. This fragment
was defined by the linguist Morris Swadesh as a tool for studying
the historical relations of languages. But as pointed out
the historical relations of languages. But as suggested
in the Wiktionary article on
<A HREF="http://en.wiktionary.org/wiki/Wiktionary:Swadesh_list">Swadesh list</A>, the
fragment is also usable for basic communication with foreigners.)
fragment is also usable for basic communication between foreigners.)
</P>
<A NAME="toc4"></A>
<H3>Importing grammars and parsing strings</H3>
<P>
The first GF command when using a grammar is to <B>import</B> it.
The command has a long name, <CODE>import</CODE>, and a short name, <CODE>i</CODE>.
You can type either
</P>
<PRE>
import paleolithic.gf
import paleolithic.cf
</PRE>
<P></P>
<P>
The GF program now <B>compiles</B> your grammar into an internal
or
</P>
<PRE>
i paleolithic.cf
</PRE>
<P></P>
<P>
to get the same effect.
The effect is that the GF program <B>compiles</B> your grammar into an internal
representation, and shows a new prompt when it is ready.
</P>
<P>
You can use GF for <B>parsing</B>:
You can now use GF for <B>parsing</B>:
</P>
<PRE>
&gt; parse "the boy eats a snake"
Mks_0 (Mks_6 Mks_9) (Mks_2 Mks_20 (Mks_7 Mks_11))
S_NP_VP (NP_the_CN CN_boy) (VP_TV_NP TV_eats (NP_a_CN CN_snake))
&gt; parse "the snake eats a boy"
Mks_0 (Mks_6 Mks_11) (Mks_2 Mks_20 (Mks_7 Mks_9))
S_NP_VP (NP_the_CN CN_snake) (VP_TV_NP TV_eats (NP_a_CN CN_boy))
</PRE>
<P>
The <CODE>parse</CODE> (= <CODE>p</CODE>) command takes a <B>string</B>
(in double quotes) and returns an <B>abstract syntax tree</B> - the thing
with <CODE>Mks</CODE>s and parentheses. We will see soon how to make sense
beginning with <CODE>S_NP_VP</CODE>. We will see soon how to make sense
of the abstract syntax trees - now you should just notice that the tree
is different for the two strings.
</P>
@@ -161,7 +184,7 @@ you imported. Try parsing something else, and you fail
</P>
<PRE>
&gt; p "hello world"
No success in cf parsing
No success in cf parsing hello world
no tree found
</PRE>
<P></P>
@@ -173,8 +196,8 @@ You can also use GF for <B>linearizing</B>
parsing, taking trees into strings:
</P>
<PRE>
&gt; linearize Mks_0 (Mks_6 Mks_11) (Mks_2 Mks_20 (Mks_7 Mks_9))
the snake eats a boy
&gt; linearize S_NP_VP (NP_the_CN CN_boy) (VP_TV_NP TV_eats (NP_a_CN CN_snake))
the boy eats a snake
</PRE>
<P>
What is the use of this? Typically not that you type in a tree at
@@ -184,7 +207,7 @@ you can obtain a tree from somewhere else. One way to do so is
</P>
<PRE>
&gt; generate_random
Mks_0 (Mks_4 Mks_11) (Mks_3 Mks_15)
S_NP_VP (NP_this_CN (CN_A_CN A_thick CN_worm)) (VP_V V_sleeps)
</PRE>
<P>
Now you can copy the tree and paste it to the <CODE>linearize command</CODE>.
@@ -197,6 +220,24 @@ a <B>pipe</B>.
</PRE>
<P></P>
<A NAME="toc6"></A>
<H3>Visualizing trees</H3>
<P>
The gibberish code with parentheses returned by the parser does not
look like trees. Why is it called so? Trees are a data structure that
represent &lt;b&gt;nesting&lt;/b&gt;: trees are branching entities, and the branches
are themselves trees. Parentheses give a linear representation of trees,
useful for the computer. But the human eye may prefer to see a visualization;
for this purpose, GF provides the command <CODE>visualizre_tree = vt</CODE>, to which
parsing (and any other tree-producing command) can be piped:
</P>
<PRE>
parse "the green boy eats a warm snake" | vt
</PRE>
<P></P>
<P>
<IMG ALIGN="middle" SRC="Tree.png" BORDER="0" ALT="">
</P>
<A NAME="toc7"></A>
<H3>Some random-generated sentences</H3>
<P>
Random generation can be quite amusing. So you may want to
@@ -216,7 +257,7 @@ generate ten strings with one and the same command:
a boy is green
</PRE>
<P></P>
<A NAME="toc7"></A>
<A NAME="toc8"></A>
<H3>Systematic generation</H3>
<P>
To generate &lt;i&gt;all&lt;i&gt; sentence that a grammar
@@ -246,7 +287,7 @@ You get quite a few trees but not all of them: only up to a given
<B>Quiz</B>. If the command <CODE>gt</CODE> generated all
trees in your grammar, it would never terminate. Why?
</P>
<A NAME="toc8"></A>
<A NAME="toc9"></A>
<H3>More on pipes; tracing</H3>
<P>
A pipe of GF commands can have any length, but the "output type"
@@ -269,7 +310,7 @@ This facility is good for test purposes: for instance, you
may want to see if a grammar is <B>ambiguous</B>, i.e.
contains strings that can be parsed in more than one way.
</P>
<A NAME="toc9"></A>
<A NAME="toc10"></A>
<H3>Writing and reading files</H3>
<P>
To save the outputs of GF commands into a file, you can
@@ -292,7 +333,7 @@ the file separately. Without the flag, the grammar could
not recognize the string in the file, because it is not
a sentence but a sequence of ten sentences.
</P>
<A NAME="toc10"></A>
<A NAME="toc11"></A>
<H3>Labelled context-free grammars</H3>
<P>
The syntax trees returned by GF's parser in the previous examples
@@ -389,7 +430,7 @@ old grammar from the GF shell state.
a louse is thick
</PRE>
<P></P>
<A NAME="toc11"></A>
<A NAME="toc12"></A>
<H2>The GF grammar format</H2>
<P>
To see what there really is in GF's shell state when a grammar
@@ -413,7 +454,7 @@ one more way of defining the same grammar as in
Then we will show how the full GF grammar format enables you
to do things that are not possible in the weaker formats.
</P>
<A NAME="toc12"></A>
<A NAME="toc13"></A>
<H3>Abstract and concrete syntax</H3>
<P>
A GF grammar consists of two main parts:
@@ -893,7 +934,7 @@ The graph uses
<P>
&lt;img src="Gatherer.gif"&gt;
</P>
<A NAME="toc13"></A>
<A NAME="toc14"></A>
<H3>Resource modules</H3>
<P>
Suppose we want to say, with the vocabulary included in
@@ -1039,7 +1080,7 @@ Resource modules can extend other resource modules, in the
same way as modules of other types can extend modules of the
same type.
</P>
<A NAME="toc14"></A>
<A NAME="toc15"></A>
<H3>Opening a ``resource``</H3>
<P>
Any number of <CODE>resource</CODE> modules can be
@@ -1386,36 +1427,29 @@ GF currently requires that all fields in linearization records that
have a table with value type <CODE>Str</CODE> have as labels
either <CODE>s</CODE> or <CODE>s</CODE> with an integer index.
</P>
<A NAME="toc15"></A>
<A NAME="toc16"></A>
<H2>Topics still to be written</H2>
<P>
Free variation
</P>
<P>
Record extension, tuples
</P>
<P>
Predefined types and operations
</P>
<P>
Lexers and unlexers
</P>
<P>
Grammars of formal languages
</P>
<P>
Resource grammars and their reuse
</P>
<P>
Embedded grammars in Haskell and Java
</P>
<P>
Dependent types, variable bindings, semantic definitions
</P>
<P>
Transfer rules
</P>
<A NAME="toc17"></A>
<H3>Free variation</H3>
<A NAME="toc18"></A>
<H3>Record extension, tuples</H3>
<A NAME="toc19"></A>
<H3>Predefined types and operations</H3>
<A NAME="toc20"></A>
<H3>Lexers and unlexers</H3>
<A NAME="toc21"></A>
<H3>Grammars of formal languages</H3>
<A NAME="toc22"></A>
<H3>Resource grammars and their reuse</H3>
<A NAME="toc23"></A>
<H3>Embedded grammars in Haskell, Java, and Prolog</H3>
<A NAME="toc24"></A>
<H3>Dependent types, variable bindings, semantic definitions</H3>
<A NAME="toc25"></A>
<H3>Transfer modules</H3>
<A NAME="toc26"></A>
<H3>Alternative input and output grammar formats</H3>
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@@ -72,7 +72,7 @@ Now you are ready to try out your first grammar.
We start with one that is not written in GF language, but
in the ubiquitous BNF notation (Backus Naur Form), which GF can also
understand. Type (or copy) the following lines in a file named
``paleolithic.ebnf``:
``paleolithic.cf``:
```
S ::= NP VP ;
VP ::= V | TV NP | "is" A ;
@@ -88,10 +88,10 @@ understand. Type (or copy) the following lines in a file named
[stoneage http://www.cs.chalmers.se/~aarne/GF/examples/stoneage/],
which implements a fragment of primitive language. This fragment
was defined by the linguist Morris Swadesh as a tool for studying
the historical relations of languages. But as pointed out
the historical relations of languages. But as suggested
in the Wiktionary article on
[Swadesh list http://en.wiktionary.org/wiki/Wiktionary:Swadesh_list], the
fragment is also usable for basic communication with foreigners.)
fragment is also usable for basic communication between foreigners.)
%--!
@@ -99,39 +99,42 @@ fragment is also usable for basic communication with foreigners.)
The first GF command when using a grammar is to **import** it.
The command has a long name, ``import``, and a short name, ``i``.
```
import paleolithic.gf
```
The GF program now **compiles** your grammar into an internal
You can type either
``` import paleolithic.cf
or
``` i paleolithic.cf
to get the same effect.
The effect is that the GF program **compiles** your grammar into an internal
representation, and shows a new prompt when it is ready.
You can use GF for **parsing**:
You can now use GF for **parsing**:
```
> parse "the boy eats a snake"
Mks_0 (Mks_6 Mks_9) (Mks_2 Mks_20 (Mks_7 Mks_11))
S_NP_VP (NP_the_CN CN_boy) (VP_TV_NP TV_eats (NP_a_CN CN_snake))
> parse "the snake eats a boy"
Mks_0 (Mks_6 Mks_11) (Mks_2 Mks_20 (Mks_7 Mks_9))
S_NP_VP (NP_the_CN CN_snake) (VP_TV_NP TV_eats (NP_a_CN CN_boy))
```
The ``parse`` (= ``p``) command takes a **string**
(in double quotes) and returns an **abstract syntax tree** - the thing
with ``Mks``s and parentheses. We will see soon how to make sense
beginning with ``S_NP_VP``. We will see soon how to make sense
of the abstract syntax trees - now you should just notice that the tree
is different for the two strings.
Strings that return a tree when parsed do so in virtue of the grammar
you imported. Try parsing something else, and you fail
```
> p "hello world"
No success in cf parsing
No success in cf parsing hello world
no tree found
```
%--!
===Generating trees and strings===
@@ -139,8 +142,8 @@ You can also use GF for **linearizing**
(``linearize = l``). This is the inverse of
parsing, taking trees into strings:
```
> linearize Mks_0 (Mks_6 Mks_11) (Mks_2 Mks_20 (Mks_7 Mks_9))
the snake eats a boy
> linearize S_NP_VP (NP_the_CN CN_boy) (VP_TV_NP TV_eats (NP_a_CN CN_snake))
the boy eats a snake
```
What is the use of this? Typically not that you type in a tree at
the GF prompt. The utility of linearization comes from the fact that
@@ -148,7 +151,7 @@ you can obtain a tree from somewhere else. One way to do so is
**random generation** (``generate_random = gr``):
```
> generate_random
Mks_0 (Mks_4 Mks_11) (Mks_3 Mks_15)
S_NP_VP (NP_this_CN (CN_A_CN A_thick CN_worm)) (VP_V V_sleeps)
```
Now you can copy the tree and paste it to the ``linearize command``.
Or, more efficiently, feed random generation into parsing by using
@@ -158,6 +161,21 @@ a **pipe**.
this worm is warm
```
%--!
===Visualizing trees===
The gibberish code with parentheses returned by the parser does not
look like trees. Why is it called so? Trees are a data structure that
represent <b>nesting</b>: trees are branching entities, and the branches
are themselves trees. Parentheses give a linear representation of trees,
useful for the computer. But the human eye may prefer to see a visualization;
for this purpose, GF provides the command ``visualizre_tree = vt``, to which
parsing (and any other tree-producing command) can be piped:
``` parse "the green boy eats a warm snake" | vt
[Tree.png]
%--!
===Some random-generated sentences===
@@ -221,10 +239,11 @@ The intermediate results in a pipe can be observed by putting the
want to see:
```
> gr -tr | l -tr | p
Mks_0 (Mks_7 Mks_10) (Mks_1 Mks_18)
a louse sleeps
Mks_0 (Mks_7 Mks_10) (Mks_1 Mks_18)
```
S_NP_VP (NP_the_CN CN_snake) (VP_V V_sleeps)
the snake sleeps
S_NP_VP (NP_the_CN CN_snake) (VP_V V_sleeps)
This facility is good for test purposes: for instance, you
may want to see if a grammar is **ambiguous**, i.e.
contains strings that can be parsed in more than one way.
@@ -242,7 +261,7 @@ pipe it to the ``write_file = wf`` command,
You can read the file back to GF with the
``read_file = rf`` command,
```
> read_file exx.tmp | l -tr | p -lines
> read_file exx.tmp | p -lines
```
Notice the flag ``-lines`` given to the parsing
command. This flag tells GF to parse each line of
@@ -257,30 +276,37 @@ a sentence but a sequence of ten sentences.
The syntax trees returned by GF's parser in the previous examples
are not so nice to look at. The identifiers of form ``Mks``
are **labels** of the EBNF rules. To see which label corresponds to
are **labels** of the BNF rules. To see which label corresponds to
which rule, you can use the ``print_grammar = pg`` command
with the ``printer`` flag set to ``cf`` (which means context-free):
```
> print_grammar -printer=cf
Mks_10. CN ::= "louse" ;
Mks_11. CN ::= "snake" ;
Mks_12. CN ::= "worm" ;
Mks_8. CN ::= A CN ;
Mks_9. CN ::= "boy" ;
Mks_4. NP ::= "this" CN ;
Mks_15. A ::= "thick" ;
V_laughs. V ::= "laughs" ;
V_sleeps. V ::= "sleeps" ;
V_swims. V ::= "swims" ;
VP_TV_NP. VP ::= TV NP ;
VP_V. VP ::= V ;
VP_is_A. VP ::= "is" A ;
TV_eats. TV ::= "eats" ;
TV_kills. TV ::= "kills" ;
TV_washes. TV ::= "washes" ;
S_NP_VP. S ::= NP VP ;
NP_a_CN. NP ::= "a" ;
...
```
A syntax tree such as
```
Mks_4 (Mks_8 Mks_15 Mks_12)
NP_this_CN (CN_A_CN A_thick CN_worm)
this thick worm
```
encodes the sequence of grammar rules used for building the
expression. If you look at this tree, you will notice that ``Mks_4``
is the label of the rule prefixing ``this`` to a common noun,
``Mks_15`` is the label of the adjective ``thick``,
and so on.
expression. If you look at this tree, you will notice that ``NP_this_CN``
is the label of the rule prefixing ``this`` to a common noun (``CN``),
thereby forming a noun phrase (``NP``).
``A_thick`` is the label of the adjective ``thick``,
and so on. These labels are formed automatically when the grammar
is compiled by GF.
%--!
@@ -288,10 +314,10 @@ and so on.
The **labelled context-free grammar** format permits user-defined
labels to each rule.
GF recognizes files of this format by the suffix
``.cf``. It is intermediate between EBNF and full GF format.
Let us include the following rules in the file
``paleolithic.cf``.
In files with the suffix ``.cf``, you can prefix rules with
labels that you provide yourself - these may be more useful
than the automatically generated ones. The following is a possible
labelling of ``paleolithic.cf`` with nicer-looking labels.
```
PredVP. S ::= NP VP ;
UseV. VP ::= V ;
@@ -317,23 +343,8 @@ Let us include the following rules in the file
Kill. TV ::= "kills"
Wash. TV ::= "washes" ;
```
%--!
<h4>Using the labelled context-free format<h4>
The GF commands for the ``.cf`` format are
exactly the same as for the ``.ebnf`` format.
Just the syntax trees become nicer to read and
to remember. Notice that before reading in
a new grammar in GF you often (but not always,
as we will see later) have first to give the
command (``empty = e``), which removes the
old grammar from the GF shell state.
With this grammar, the trees look as follows:
```
> empty
> i paleolithic.cf
> p "the boy eats a snake"
PredVP (Def Boy) (ComplTV Eat (Indef Snake))
@@ -358,11 +369,12 @@ GF grammar compiler produced it.
However, we will now start to show how GF's own notation gives you
much more expressive power than the ``.cf`` and ``.ebnf``
formats. We will introduce the ``.gf`` format by presenting
However, we will now start the demonstration
how GF's own notation gives you
much more expressive power than the ``.cf``
format. We will introduce the ``.gf`` format by presenting
one more way of defining the same grammar as in
``paleolithic.cf`` and ``paleolithic.ebnf``.
``paleolithic.cf``.
Then we will show how the full GF grammar format enables you
to do things that are not possible in the weaker formats.
@@ -1275,37 +1287,40 @@ either ``s`` or ``s`` with an integer index.
==Topics still to be written==
Free variation
===Free variation===
Record extension, tuples
===Record extension, tuples===
Predefined types and operations
===Predefined types and operations===
Lexers and unlexers
===Lexers and unlexers===
Grammars of formal languages
===Grammars of formal languages===
Resource grammars and their reuse
===Resource grammars and their reuse===
Embedded grammars in Haskell and Java
===Embedded grammars in Haskell, Java, and Prolog===
Dependent types, variable bindings, semantic definitions
===Dependent types, variable bindings, semantic definitions===
Transfer rules
===Transfer modules===
===Alternative input and output grammar formats===

View File

@@ -1,23 +1,8 @@
PredVP. S ::= NP VP ;
UseV. VP ::= V ;
ComplTV. VP ::= TV NP ;
UseA. VP ::= "is" A ;
This. NP ::= "this" CN ;
That. NP ::= "that" CN ;
Def. NP ::= "the" CN ;
Indef. NP ::= "a" CN ;
ModA. CN ::= A CN ;
Boy. CN ::= "boy" ;
Louse. CN ::= "louse" ;
Snake. CN ::= "snake" ;
Worm. CN ::= "worm" ;
Green. A ::= "green" ;
Rotten. A ::= "rotten" ;
Thick. A ::= "thick" ;
Warm. A ::= "warm" ;
Laugh. V ::= "laughs" ;
Sleep. V ::= "sleeps" ;
Swim. V ::= "swims" ;
Eat. TV ::= "eats" ;
Kill. TV ::= "kills"
Wash. TV ::= "washes" ;
S ::= NP VP ;
VP ::= V | TV NP | "is" A ;
NP ::= "this" CN | "that" CN | "the" CN | "a" CN ;
CN ::= A CN ;
CN ::= "boy" | "louse" | "snake" | "worm" ;
A ::= "green" | "rotten" | "thick" | "warm" ;
V ::= "laughs" | "sleeps" | "swims" ;
TV ::= "eats" | "kills" | "washes" ;