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THE LINGUISTICS STUDENT’S HANDBOOK 38<br />

The one place where the principle of enclosing elements in boundaries fails<br />

to hold is with affixes. Affixes are separated from their bases by a single boundary,<br />

but are not enclosed in boundaries. So that if we include affixal boundaries<br />

in the phrase fine words, we get ##fine##word#s##. Sometimes this<br />

difference is supposed to hold only with those affixes (as in the example just<br />

cited) which might be assumed to have no word-class marking. In a language<br />

like English this means with inflectional suffixes and with prefixes. Suffixes like<br />

the -ness in happiness are said to have their own word class (they always create<br />

nouns), and thus to work like words in terms of the tree structure. (See e.g.<br />

Lieber 1992: 35-7, but contrast with Jensen 1990: 35.) This is controversial.<br />

Before we move on to consider alternative ways of writing environments,<br />

two more abbreviatory conventions need to be considered. The first of these is<br />

the use of parentheses to enclose optional material. Where an item is enclosed<br />

in parentheses at any point in the rule, the rule works equally well with or<br />

without the parenthesised material. However, if you are applying the rule to<br />

potential input data, you should always try to apply the rule with all the<br />

optional elements present, and only if the rule cannot be applied that way<br />

should you apply it without the optional elements. That is, you apply the<br />

longest expansion first. The options presented by the use of parentheses in this<br />

way are alternatives: if one option applies the other does not; the two options<br />

cannot both apply. This is called disjunctive ordering. For example, the stress<br />

in French words spoken in isolation can be stated by rule (7).<br />

(7) V → [� stress] / ___ (C) (C) (ə) #<br />

Given a form like /pətitə/the final /ə/ has to be seen as matching the /ə/<br />

in (7), otherwise, if it was ignored and the rule was applied without the optional<br />

elements first, we would get the stress on the final vowel, i.e. on the /ə/. Since<br />

the stress in this word falls on the /i/, we need to consider the longest applicable<br />

version first, and then stop applying the rule. Anything else will give the<br />

wrong output.<br />

The other abbreviatory convention to mention briefly is the rather informal<br />

use of the asterisk after an element to show that it may be repeated. This is<br />

found most often in syntactic rules, where a given NP may include an indefinite<br />

number of adjectives, or where a given sentence may include an indefinite<br />

number of prepositional phrases. A rule such as (8) illustrates both these<br />

conventions.<br />

(8) NP → (Num) (AP*) N (PP)<br />

(8) states that an NP must contain an N and may also contain a number, one<br />

or more adjective phrases and, following the noun, a prepositional phrase.

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