Ultrametric Distance in Syntax



Figure 11: The Distance Between Verbs and Adjectives.


Constructing other examples gives the ultrametric distance matrix

U=

D

N

V

A

P

D

0

1

2

2

2

N

.

0

2

2

2

V

.

.

0

4

3

A

.

.

.

0

3

P

.

.

.

.

0


(16)


Ignoring the determiner D (‘a’ or ‘the’) and ordering the matrix NPVA (noun,
pronoun, verb, adjective) suggests the pattern

0i      i        i

.  0  i+1  i+1

(17)


.   .     0    i+2

..    .     0

which is compatible with the X matrix of the last section; however it does not
follow by necessity as the X case holds for a single sentence and
U is constructed
from the syntactical representations of several sentences.

4 Features

4.1 No square matrix representation of features

This section investigates whether there is a general framework which can de-
scribe both the preceding and also “features”. Roughly speaking the idea behind

12



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