Ultrametric Distance in Syntax



A

M

J

H

A

0

1

2

2

F irst =

M

.

0

2

2

J

.

.

0

1

H

.

.

.

0


(7)


respectively, where A, M, . . . are short

for ’Alf’, ’must’.

The matrices corre-

sponding to the other four binary branched trees are

(compare Haegeman

(1994) p.141&142 [13] diagrams 84b,c,d,

e):

•A

MJH

A0

333

S econd = M .

022

(8)

J.

.01

H.

..0

•A

MJH

A0

333

T hird = M .

012

(9)

J.

.01

H.

..0

•A

MJH

A0

223

F ourth = M .

013

(10)

J.

.03

H.

..0

•A

MJH

A0

123

Fifth = M .

023

(11)

J.

.03

H.

..0

There are two 3-ary trees with matrices (compare Haegeman (1994) p.142 [13]
diagrams 84g and 84h):

A

M

J

H

A

0

1

1

2

Sixth =

M

.

0

1

2

(12)

J

.

.

0

2

H

.

.

.

0

A

M

J

H

A

0

2

2

2

S eventh =

M

.

0

1

1

(13)

J

.

.

0

1

H

.

.

.

0



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