An exercise in grammars

Due:  Monday, May 1, in class

There will not be a final read-and-respond exercise.  We will discuss the Pinker readings Monday in class

Consider the grammar we discussed in class:

• x - y
• x*y + z
• x * (y + z)
• (x + y) / (x - y)

    S -> NP VP

    NP -> DET N

    N -> ADJ N | boy | dog | ball

    ADJ -> big | small | red

    VP -> V NP

    V -> chased | bit

    DET the | this | a

Create derivations and parse trees for THE BIG DOG CHASED THE SMALL BOY

Finally, an exercise from Wilfrid Hodges Logic (Cox & Wyman Ltd, 1982) page 84:

    A one-year-old child is overheard making the following remarks:

        boy. sock. mommy. allgone boy. allgone mommy. byebye sock.

         byebye mommy. boy off. sock off. sock on. mommy on. mommy fall.

Create a grammar (i.e., a series of rules) that will support the utterances of the child as valid expressions.