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ASSIGNMENT 2 COMP 550 Solution

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ASSIGNMENT 2 COMP 550

Question 1: Grammar for French (60 points

In this question, you will develop a context-free grammar for a fragment of French. Your grammar must
account for various aspects of the French language, as listed below.

Basic sentence word order in the present

The basic word order in French is Subject-Verb-Object, as in English:
(1) Je regarde la t´el´evision.
I watch the television
(2) Le chat mange le poisson.
The cat eats the fish

Subject-verb agreement

Just as in English, the subject must agree with the verb in number and person:
(3) Tu regardes la t´el´evision.
You(2Sg) watch the television
(4) Il regarde la t´el´evision.
He watches the television
(5) Nous regardons la t´el´evision.

We watch the television
(6) Vous regardez la t´el´evision.
You(2Pl) watch the television
(7) Ils regardent la t´el´evision.
They(Masc.) watch the television
Look up the list of subject pronouns in French, as well as the verb conjugation paradigm for several
common verbs using an online website. Include these in your grammar.
Reference: http://www.wordreference.com/conj/FrVerbs.aspx

Negation

Basic verb negation is handled in French by surrounding the verb with the particles ne … pas.
(8) Tu ne regardes pas la t´el´evision.
You(2Sg) do not watch the television
(9) Le chat ne mange pas le poisson.
The cat does not eat the fish

Definite noun phrases and proper names
A definite noun phrase in French follows a similar order as in English (article + noun). However,
the article must agree with the noun in number and grammatical gender. Grammatical gender is a
more-or-less arbitrary categorization of nouns into either masculine or feminine.

Examples:
(10) Le chat
the(Masc.) cat
(11) La t´el´evision
the(Fem.) television
(12) Les chats
the(Pl.) cats
(13) Les t´el´evisions
the(Pl) televisions

As you can see, there is no distinction in the plural between masculine or feminine.
Some proper names in French do not take articles, just as in English:
(14) Jonathan
Jonathan
(15) Montr´eal
Montreal
Others do (e.g., le Canada), which you have to handle:
(16) le Canada
Canada

You can look up examples of proper nouns which need an article. e.g. https://language-easy.org/
french/grammar/nouns/proper-nouns/
Direct object pronouns
When a pronoun is a direct object of the verb, they precede the verb:
(17) Il la regarde.
He it(Fem.) watches.

Look up the list of direct object pronouns in French, and enhance your grammar to account for the
word order with direct objects. https://grammar.collinsdictionary.com/french-easy-learning/
personal-pronouns-direct-object
Attributive adjectives

Adjectives typically follow the noun that they modify in a noun phrase:
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(18) Le chat noir
the(Masc.) cat black
(19) Le chat heureux
the(Masc.) cat happy

However, other adjectives precede the noun:

(20) Le beau chat
the(Masc.) beautiful cat
(21) Le joli chat
the(Masc.) pretty cat

Yet others may precede OR follow the noun, though the meaning usually changes slightly:

(22) La derni`ere semaine
the(Fem.) last week
the last week (e.g., of the year)
(23) La semaine derni`ere
the(Fem.) week last
last week (i.e., the one before this week)

In addition, adjectives must agree with the noun that they modify in number and gender:

(24) Les chats noirs
the(Pl.) cats black(Pl.)
the black cats
(25) La t´el´evision noire
the(Fem.) television black(Fem.)
the black television
(26) Les t´el´evisions noires
the(Pl.) televisions black(Fem. Pl.)
the black televisions

Note that adjectives do distinguish masculine from feminine in the plural.
Find several adjectives of each of the three classes above, and incorporate them into your grammar.

References

http://french.about.com/od/grammar/a/adjectives.htm
http://french.about.com/od/grammar/a/adjectives_4.htm
Examples and submission format

You already have many examples that your grammar should accept (though many of the above examples
were only noun phrases, not full sentences). Here are some sentences that your grammar should reject:
(27) *Je mangent le poisson.
(28) *Les noirs chats mangent le poisson.
(29) *La poisson mangent les chats.
(30) *Je mange les.

Use the following nonterminals to indicate grammatical categories:

S sentence/clause
NP noun phrase
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VP verb phrase
N noun
PN proper noun
PR pronoun
V verb
DT determiner
A adjective

You may add further non-terminal categories or subdivide them (e.g., V-1Sing) as needed. Don’t forget
the lexical rules! Include enough lexical items such that each of the syntactic categories can be expressed
in at least three different ways.

Write your grammar in a text editor using a predictable, computer-readable format. In particular, you
must use a format that is compatible with NLTK’s CFG.fromstring function. For instance, here is one
possible rule:
S -> NP VP

Here is another example of a set of four rules (here, they are lexical rules):

V-1Sg -> ’mange’ | ’aime’ | ’regarde’ | ’cherche’
These are just examples, and are not necessarily the rules you want in your grammar! Ignore punctuation
and capitalization in your grammar (just use all lower-case, except for proper names). French has
contractions in many cases where a word begins with a vowel (e.g., j’aime rather than *je aime). You
may ignore such issues.

Submit your grammar as a plaintext .txt file. Show instances where your grammar correctly accepts and
rejects some sentence. In addition, show at least one case of overgeneration and one case of undergeneration in your grammar. (Hint: if you don’t speak French, ask Google Translate or a friend for help! Also,
many French grammar sites will give examples of mistakes.) In addition, answer the following questions
in your response to the question:

1. What are some advantages of modelling French grammar with a CFG?
2. What are some disadvantages of modelling French grammar with a CFG?
3. What are some aspects of French grammar that your CFG does not handle?
This question is rather open-ended; your grammar will be judged on the following points:
ˆ Whether you followed the specifications above (e.g. names of non-terminals, minimum number of
lexical entries)

ˆ Coverage of the required grammatical constructions
ˆ Clarity of the grammar
ˆ The responses to the questions above
You won’t get extra points for having many additional lexical items that exhibit the same type of
behaviour!

Question 2: Implement CYK for your grammar (40 points)

Implement your own version of the CYK algorithm. Your code should define a class which represents
a CYK parser. Your parser’s constructor must take in a CFG grammar that is an instance of NLTK’s
CFG class. It must include a .parse() method that is able to take in sentences as a string with tokens
separated by whitespace and run the CYK algorithm on it. The output of the method should be a list
of all the possible trees of the sentence, which are instances of nltk.tree.Tree. This list may be empty if
the sentence is not accepted by the CFG.

Run your parser on several sentences from your grammar from Q1, showing sentences that are accepted
and sentences that are rejected by your grammar. Include these in the written portion of your submission.

Notes:

ˆ You will also have to write code that converts your grammar to/from Chomsky Normal Form
yourself.
ˆ Be sure the final output parse is not in the CNF-version of the CFG!
ˆ You can use any other parser or method from NLTK to check your work, but you must write your
own implementation of the CYK algorithm.
ˆ You may want to do Question 2 first before Question 1, as having a parser will be useful for checking
your work!

What To Submit

Your submission must be made through MyCourses, and must consist of the following three files:
1. The grammar file of Question 1, as a plaintext .txt file called ‘french-grammar.txt’.
2. Your code for Question 2, ‘a2-cyk.py’.
3. The written portions for both questions as a .pdf file called ‘a2-written.pdf’.