Exercise-ch5

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Exercises for chapter 5: Simple LRS

Functional notation

We have introduced the functional notation and the eventuality variable in chapter 5. What are the new formulae that correspond to the formulae from chapter 2?

1 Notation from chapter 2: hobbit(frodo)
New notation:

frodohobbit
hobbitfrodo

2 Notation from chapter 2: walk(frodo)
New notation:

walkfrodo
(walke)•frodo
(walkfrodo)•e

3 Notation from chapter 2: help(aragorn,frodo)
New notation:

((helpe)•frodo)•aragorn
((helpe)•aragorn)•frodo
((helparagorn)•frodo)•e


Semantic types

Add the semantic types in the blanks. Use simple letters ("e" or "t") for simple types. Use round brackets for complex types (for example: "(e,t)").

1 Add the types for simple expressions:

a. frodo_


b. hobbit_


c. walk_


d. help_


e. (hobitx)_

2 Add the semantic types for complex expressions:

a. ((walk_

e_

) • aragorn_

)_

b. (hobbit_

y_

)_


Basic combinatorics

Basic mechanism with canonical examples

1 Sentence: Pat snored.
Logical form: (snoree) • pat
Which parts of the logical form are contributed by which word?

e ¦pat ¦ snore ¦ snoree ¦ (snoree) • pat
Pat
likes

2 Sentence: Pat likes Chris.
Logical form: ((likee) • chris) • pat
Which parts of the logical form are contributed by which word?

e ¦pat ¦ chris ¦ like ¦ likee ¦ (likee) • chris ¦ ((likee) • chris) • pat
Pat
likes
Chris


Basic mechanism with copula and argument-marking preposition

1 Sentence: Alex is happy.
Logical form: ((happye) • alex)
Which parts of the logical form are contributed by which word?

e ¦ alex ¦ happy ¦ happye ¦ (happye) • alex
Alex
is
happy

2 Sentence: Pat waited for Chris
Logical form: ((waite) • chris) • pat
Which parts of the logical form are contributed by which word?

e ¦ chris ¦ pat ¦ wait ¦ wait'e ¦ (waite) • chris ¦ ((waite) • chris) • pat
Pat
waited
for
Chris


Expletives

1 Sentence: It stormed.
Logical form: storms
Which parts of the logical form are contributed by which word?

s ¦ storm ¦ storms
It
stormed

2 Sentence: It was snowing.
Logical form: snows
Which parts of the logical form are contributed by which word?

s ¦ snow ¦ snows
It
was
snowing



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