How do we have to revise and extend the semantic component in order to

provide all the phrase structures in this expanded fragment with interpreta

$-$

tions? Your task in this exercise is to define an appropriate semantic value for

each new lexical item

$($

treat

$"$

it

$-$

is

$-$

not

$-$

the

$-$

case

$-$

that" as a single lexical item

here

$)$

$$and to write appropriate semantic rules for the new types of non

$-$

terminal

nodes. To do this, you will also have to expand the inventory of possible

semantic values. Make sure that you stick to our working hypothesis that all

semantic composition is functional application

$($

Frege

$\text{'}$

s Conjecture

$)$

$.$